wo identical particles of charge 1.6 mc and mass 37 g are fixed in space, separated by 5 m. if one particle is now released, calculate its speed at an infinite distance from the other fixed charge.

Newton's Laws of Motion can be used to describe the motion of planets. These laws state:

An object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an unbalanced force.

The acceleration of an object is directly proportional to the magnitude of the force applied, and inversely proportional to the mass of the object.

For every action, there is an equal and opposite reaction.

Using these laws, astronomers and physicists can make predictions about the motion of planets and other celestial bodies. For example, Newton's First Law can be used to explain why planets continue to orbit around stars, and why they move in a specific path instead of flying off into space. Newton's Second Law can be used to calculate the force of gravity between planets and stars, which determines their acceleration and velocity.

Finally, Newton's Third Law can be used to explain how planets and other celestial bodies interact with one another, such as how they influence each other's orbits. This helps to understand why planets sometimes experience changes in their paths and movements, such as when they are pulled or pushed by other celestial bodies.

Overall, Newton's Laws of Motion provide a framework for describing and predicting the motion of celestial bodies, and continue to play a critical role in our understanding of the universe.

The number of electrons must be removed the charge on the sphere is 0, is [tex]4 \times 10^{12}[/tex]. Option c is correct choice.

A coulomb (C) is the standard unit of electric charge in the International System of Units (SI). It is the amount of electricity that a 1-ampere (A) current carries in one second (s). A quantity of 1 C is equal to the electrical charge of approximately 6.24 x 1018 electrons or protons.

Total charge on a electron is, [tex]-1.9 \times 10^{-19}[/tex] Coulombs.

The charge on Sphere is, [tex]-6.40 \times 10^{-7}[/tex] Coulombs.

The number of electrons required to be removed from sphere is, [tex]\dfrac{-6.40 \times 10^{-7}}{-1.9 \times 10^{-19}}[/tex],

[tex]4 \times 10^{12}[/tex].

Option c is correct.

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Same momentum in both situations. Momentum is a vector. In Situation II the impulses are opposite and partially cancel each other out.

Which of following is most dynamic?

Momentum directly proportional to the object's mass and velocity. Faster speed means more momentum. Therefore, cars traveling at high speed on highways have the most momentum.

How do you know what has more momentum?

p = m v . From this equation we can see that momentum is directly proportional to the mass (m) and velocity (v) of the object. Therefore, the greater the mass of an object or the greater its velocity, the greater its momentum. A large, fast-moving object has more momentum than a small, slow-moving object.

Which object has the greatest momentum and why?

Heavy objects have a more mass. Momentum is a product of mass, and a scalar quantity, and velocity, a vector. Therefore, if two objects have the same velocity, the heavier object with more mass will also have more momentum.  

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The weight of the rock on mars is 3.71 N

I. To determine the weight of the rock on Mars, we need to calculate the force of gravity acting on the rock. The force of gravity can be calculated using the equation:

F = G * (m1 * m2) / r^2

where

F = force of gravity

G = gravitational constant (6.67 × 10^-11 N(m/kg)^2)

m1 = mass of Mars (6.42 × 10^23 kg)

m2 = mass of the rock (1.40 kg)

r = radius of Mars (3.39 × 10^6 m)

Plugging in the values, we get:

F = 6.67 × 10^-11 * (6.42 × 10^23 * 1.40) / (3.39 × 10^6)^2

F = 3.71 N

So the weight of the rock on Mars is 3.71 N.

II. The gravitational potential energy of the rock can be calculated using the equation:

U = - G * m1 * m2 / r

Plugging in the values, we get:

U = - 6.67 × 10^-11 * 6.42 × 10^23 * 1.40 / 3.39 × 10^6

U = -1.77 × 10^7 J

So the gravitational potential energy of the rock on Mars is -1.77 × 10^7 J.

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Answer:

60m/s

Explanation:

since both are travelling in opposite direction,

relative speed will be the sum of the speed of both the vehicles

= 40m/s + 20m/s

= 60m/s

and we are done!

The solutions to the following questions on wave, frequency, wavelength is as follows:

Wavelength is the length of a single cycle of a wave, as measured by the distance between one peak or trough of a wave and the next.

Wavelength is often designated in physics as λ, and corresponds to the velocity of the wave divided by its frequency.

QUESTION 1:

Period = 1/frequency

Frequency = 1/0.25 = 4Hz

QUESTION 2:

v = λf

v = 5 × 10 = 50cm/s

QUESTION 3:

λ = v/f

10 = 20/f

f = 2Hz

QUESTION 4:

λ = v/f

λ = 30/5 = 6cm

QUESTION 5:

f = 1/T

f = 1/3 = 0.33Hz

λ = v/f

20 = v/0.33

v = 6.6m/s

QUESTION 6:

λ = v/f

λ = 300/75

λ = 4m

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The resulting amplitude when they meet is 4 units.

Amplitude is a term used in various fields including physics, engineering, and audio technology, with different meanings in each context. In physics and engineering, amplitude refers to the maximum displacement or magnitude of a wave or oscillation from its rest position. For example, in a sound wave, the amplitude is the maximum displacement of the air molecules from their average position, and it determines the loudness of the sound. In light waves, amplitude refers to the maximum intensity of the light wave, which determines its brightness. In audio technology, amplitude refers to the strength or volume of a sound wave. In digital audio, amplitude is typically represented by a numerical value and is used to control the volume of a sound.

As both are amplitude and one overlaps each other, the amplitude formula doesn't apply, we can simply multiply the waves

2 × 2

= 4

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The new time period of the pendulum will be 2 times the original period.

The period of a simple pendulum is given by the equation:

T = 2π√(l/g)

where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity.

If the length of the pendulum is increased by a factor of 4, the new period can be calculated as follows:

T' = 2π√(4l/g) = 2π√(4 × (l/g)) = 2π√4 × √(l/g) = 2 × 2π√(l/g) = 2T

Therefore, the new period of the pendulum will be 2 times the original period.

The period of oscillation of a pendulum is proportional to the square root of the length of the pendulum, so increasing the length of the pendulum by a factor of 4 will increase the period of oscillation by a factor of 2. This relationship can be shown mathematically by substituting the new length into the equation for the period of a pendulum.

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The oscillation period of a simple pendulum (as described in section 13.5) is measured to be t, and then the length of the pendulum is increased by a factor of 4. (for example, increased from 10 cm to 40 cm or 1 m to 4 m.) which option best describes the new period of the pendulum? group of answer choices

A. 2T

B. 4T

C. 8T

D. None of the above

The angular resolution of the human eye is about 1 arcminute, or 1/60 of a degree or 1 arcminute.

Angular resolution of human eye is nearly 1/60 of a degree, which means that the smallest distinguishable angle that the human eye can perceive is approximately 1/60 of a degree.

This is equivalent to about 17.5 milliseconds of arc at the typical viewing distance of 25 cm from the eye to the object being viewed.

The human eye's ability to resolve small angles is limited by the size of its photoreceptor cells, called rods and cones, which are responsible for detecting light and transmitting visual signals to the brain.

The angular resolution of the human eye is much lower than that of many other animals, such as eagles and hawks, which can resolve angles as small as 2-3 arcseconds. This difference is due to the differences in the size and density of photoreceptor cells in the eyes of different species. In general, the larger and more densely packed the photoreceptor cells, the greater the angular resolution of an animal's eyes.

It is worth noting that the angular resolution of the human eye can vary depending on various factors, such as age, lighting conditions, and the presence of visual impairments.

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The two cars have the same position at seven seconds; yet they never have the same velocity at any instant in time.

The blue car starts ahead of" the red car. (The red car actually starts off the screen.) Since the red car is moving faster, it eventually catches up with and passes the blue car. The position-time plot of each car's motion is depicted by a diagonal line with a constant slope.

At the time that the cars are side by side, the lines intersect. That is, the two cars share the same position at that instant in time. The lines would not intersect for a velocity vs. time graph.

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If a proton is repulsed by a charged particle at a certain distance with a certain force, the force decreases as the proton gets three times farther away from the particle. For this, the equation is presented below.

It is possible to write the force between a proton and a charged particle as follows.

[tex]F = k q_{1} q_{2} r_{2} . F=\dfrac{kq_1q_2}{r^2}.[/tex]

With a rest mass of 1.67262*10⁻²⁷ kg or 1,836 times that of an electron, the proton is a stable subatomic particle with a positive charge that is equivalent to one electron's charge.

With the exception of the hydrogen nucleus, all atomic nuclei are composed of protons and neutrons, which are electrically neutral particles (which consist of a single proton). There is exactly the same number of protons in each of the nuclei of a given chemical element. The location of the element in the periodic table is determined by this number, which also serves to establish the atomic number of an element. An atom is electrically neutral when it has an equal amount of protons and electrons in its nucleus.

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Force by which fluid leave needle is 0.00063N,if the  diameter of the plunger is 1.5 cm

Pascal's law (likewise Pascal's principle) or the rule of transmission of liquid tension) is a standard in liquid mechanics given by Blaise Pascal that expresses that a strain change anytime in a bound incompressible liquid is sent all through the liquid to such an extent that a similar change happens everywhere.[4] The law was laid out by French mathematician Blaise Pascal in 1653 and distributed in 1663

Pascal's standard is characterized as

An adjustment of strain anytime in an encased liquid very still is sent undiminished to all places in the liquid.Pressure applied on a liquid in an encased holder is communicated similarly and undiminished to all pieces of the compartment and acts at right point to the encasing walls.The tension applied to any piece of the encased fluid will be communicated similarly this way and that through the fluid.

We need to use pascal law for finding the force,which is F₁/A₁ = F₂/A₂ where F₁ is the amount of force applied on area(A₁) and F₂ is the force applied on area(A₂)

Here,(A₁)=πd²/4=3.14×(1.5)²/4=1.766cm²

Similarly,(A₂)=πd²/4=3.14×(0.025)²/4=0.00049cm²

Also,F₁=2.29N

So,2.29/1.766=F₂/0.00049

=>F₂=(2.29ˣ0.00049)/1.766

=>F₂=0.00112/1.766

=>F₂=0.00063N.

Hence,force by which fluid leave is 0.00063N.

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(Complete question) is:

A 2.29N force is applied to the plunger of a hypodermicneedle.

If the diameter of the plunger is 1.5 cm and that ofthe needle is

0.25 mm, with what force does the fluid leave theneedle?

A proton starting from rest at point B and moving to point A would acquire 4.2 keV of kinetic energy. Expressing this answer using two significant figures yields 4.2 keV.

To further develop the topic, it is important to understand how kinetic energy is calculated. Kinetic energy is the energy of an object in motion, and is equal to one half of the mass of an object times the square of its velocity. In this case, the proton is moving from point B to point A, so the velocity of the proton at point A can be used to calculate the kinetic energy.

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Motion of Mars across the sky is not always predictable, but in general, Mars moves eastward relative to stars. This is because the Earth orbits the Sun faster than Mars, so the Earth moves in its orbit, it overtakes Mars, causing Mars to appear to move backwards (in retrograde motion) for a period of time before resuming its eastward motion.

However, the exact motion of Mars across the sky depends on many factors, including positions of Earth, Mars, and the Sun in their orbits. If you look for Mars the following night at around same time, you will need to locate it using star charts or astronomy apps that show the current position of Mars in the sky.

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The answer is a rock falling from a cliff. This  illustrates potential energy due to gravity being converted into kinetic energy.

When a rock falls off a cliff, its gravitational potential energy is converted into kinetic energy. This is because the potential energy of the rock is converted into kinetic energy as it falls and accelerates as it falls due to gravity. The potential energy of a rock is the energy stored in the rock due to its location relative to the Earth's gravitational field.

When falling, this potential energy is converted into kinetic energy, which is the energy of motion, and is accelerated by when falling due to gravity. This kinetic energy eventually causes the stone to hit the ground with considerable force.

Full Question:

Which of these illustrates potential energy due to gravity being converted into kinetic energy?

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Clouds are said to collapse when their self gravity exceeds the support provided by thermal pressure.

As gas pressure alone cannot overcome the gravitational pull a cloud exerts on itself, molecular clouds are prone to gravitationally collapse.

When self-gravity is greater than the support offered by thermal pressure, clouds collapse. Any cloud larger than a certain mass will collapse for any given density and temperature. The cloud gets denser and the balance mass gets smaller as it collapses.

So, the individual sub pieces of the cloud can collapse. The collapsing cloud fragments into many smaller collapsing pieces. Eventually, a cluster of low mass stars are formed rather than a single massive star.

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Petroleum and gas hydrates are the principal energy sources linked to marine sediments.

Which four types of marine sediments are there?

Lithogenous, hydrogenous, biogenous, and cosmogenous are the four categories. Rivers, ice, wind, and other activities on land are how lithogenous sediments are transported. When planktonic creatures' exoskeletons degrade, they produce biogenous sediments. Chemical processes in the water produce hydrogenous sediments.

A fossil fuel is petroleum, sometimes referred to as crude oil. Petroleum was created from the remains of extinct marine animals like plants, algae, and bacteria, just like coal and natural gas. A crystalline solid made of water and gas is called a gas hydrate. It resembles ice in appearance and behavior but is actually very methane-rich and is known to exist on every continent.

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Warming causes the pendulum's length to lengthen, which lengthens the period. The clock will therefore run slowly.

What is a pendulum?

A weight that is suspended from a pivot so that it can swing freely is called a pendulum. A pendulum clock is a timepiece that keeps time by swinging a weight called a pendulum.

The length of time needed for a basic pendulum to complete one complete oscillation is known as its time period. The length of the pendulum also lengthens with temperature, lengthening the pendulum's period. As a result, it loses time as the temperature rises.

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The acceleration of the masses are [tex]1.88 m/s^{2}[/tex]. The value of mass [tex]m_{1}[/tex] is zero to get maximum possible acceleration which is equal to [tex]9.8 m/s^{2}[/tex].

(A) The mass,[tex]m_{1} = 4.2 kg[/tex] and mass, [tex]m_{2} = 1.0 kg[/tex]

Let, the acceleration of mass [tex]m_{1}[/tex] and [tex]m_{2}[/tex] is [tex]a[/tex] as shown in the figure given below.

[tex]T = m_{1} a - (i)[/tex]

[tex]m_2 g -T = m_2 a -(ii)[/tex]

Put value of [tex]T[/tex] in equation [tex](ii)[/tex] from equation [tex](i)[/tex], we will get:

[tex]m_2 g - m_1 a = m_2 a[/tex]

[tex]m_2 g = m_1 a + m_2 a[/tex]

[tex]a = \frac{m_{1} }{m_{1} + m_{2} } g -(iii)[/tex]

[tex]a= \frac{9.8}{4.2 + 1}[/tex]

[tex]a = 1.88 m/s^{2}[/tex]

(B) For maximum acceleration, [tex]\frac{da }{dm_{1} } = 0[/tex]

[tex]\frac{d(\frac{m_{2} }{m_{1} +m_{2} }) }{dy} g = 0[/tex]

[tex]\frac{m_{1} }{(m_{1} +m_{2})^{2} } = 0[/tex]

[tex]m_{1} = 0[/tex]

(C) Put value of [tex]m_{1} = 0[/tex] in equation [tex](iii)[/tex]

[tex]a = \frac{m_{1} }{m_{1} + m_{2} } g[/tex]

[tex]a = g[/tex]

[tex]a = 9.8 m/s^{2}[/tex]

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If you were to stand up and sprint as fast as you could for about 10 seconds, your body would primarily rely on stored carbohydrates (in the form of glycogen) as the main fuel source.

During high-intensity activities such as sprinting, the body's demand for energy increases rapidly. To meet this increased demand, the muscles break down glycogen into glucose, which is then converted into ATP (adenosine triphosphate), the primary energy currency of the cell.

In addition to glycogen, a small amount of fat may also be used as a fuel source during sprinting, but at such a high intensity, carbohydrates are the primary energy source.

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The one that is an abiotic factor in a biome is option B. water

An abiotic factor in a biome is a non-living physical or chemical component of an ecosystem that affects the survival, growth, and behavior of the organisms that live in it. Examples of abiotic factors in biomes include temperature, light, moisture, soil type, topography, and atmospheric gases such as carbon dioxide and oxygen.

Therefore, the one that is an abiotic factor in a biome is option B. water

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The value of a^2 is 3600 if Starting from rest, a particle moves along an axis from point A to point B with constant acceleration a = 2.20 m/2 through displacement d = 500 m.

To determine the value of a^2, we need to use the relationship between acceleration, displacement, and time, which is given by the equation:

[tex]d = 1/2 a t^2[/tex]

First, we can find the time t1 required for the particle to travel from point A to point B by using the equation:

[tex]d = 1/2 a t1^2[/tex]

Substituting the given values, we get:

[tex]500 = 1/2 (a) (t1)^2[/tex]

Rearranging and solving for t1:

[tex]t1 = \sqrt{} (500 / (1/2 a)) = \sqrt{} (1000 / a)[/tex]

Next, we can find the time t2 required for the particle to travel from point B to point C by using the equation:

[tex]dz = 1/2 a t2^2[/tex]

Substituting the given values, we get:

[tex]300 = 1/2 (a) (t2)^2[/tex]

Rearranging and solving for t2:

[tex]t2 =\sqrt{} (300 / (1/2 a)) = \sqrt{} (600 / a)[/tex]

Finally, we can use the total time t to find the value of a by using the equation:

t = t1 + t2

Substituting the values of t1 and t2, we get:

60 = sqrt(1000 / a) + sqrt(600 / a)

Squaring both sides, we get:

[tex]3600 = 1000 / a + 600 / a + 2 sqrt(1000 * 600) / a[/tex]

Rearranging and solving for a:

[tex]a = sqrt(3600 * a / (1000 + 600)) = sqrt(3600 * a / 1600)[/tex]

Squaring both sides again, we get:

[tex]a^2 = 3600 / (1600 / a) = 3600 * a / 1600[/tex]

Rearranging and solving for a^2:

[tex]a^2 = 3600^2 / 1600 = (60^2)^2 / (40^2) = 3600.[/tex]

So, the value of a^2 is 3600.

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Answer:

a=3m/s squared

Explanation:

a=v-u/t

where a=acceleration,v=final velocity,u=initial velocity,t=time taken

a=10-4/2-0

a=6/2

a=3m/s squared

the required net force acting on the box is the difference between the two forces, which is  7 N to the left.

Force is a physical quantity that describes the interaction between two objects. It is a vector quantity, meaning it has both magnitude and direction.

The net force acting on the box is the difference between the two forces, which is 14 N - 7 N = 7 N to the left.

According to Newton's second law of motion, an object will move in the direction of the net force acting on it, so in this case, the box will move to the left. The magnitude of the acceleration of the box will be proportional to the magnitude of the net force, so the greater the net force, the greater the acceleration of the box.

Thus, the required net force acting on the box is the difference between the two forces, which is 7 N to the left.

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The visible range is 6.02×10^-7 m.

The refractive index of the oil film is n=1.58

The thickness of the film is , t=286 nm= 286×10^-9 m

2nt=( m+ ½) λ

m=0, 1, 2,.....

Substituting m=0, t and n

2× 1.58 ×(286×10^-9) =(0+½) λ=1.81×10^-6m (This is of infrared range)

Substituting m=1, t and n

2× 1.58 ×(286×10^-9) =(1+½) λ=1.81×10^-6=6.02×10^-7 m, this is visible range

Waves are vibrations that propagate. There are many types of waves such as sound waves, mechanical waves, to electromagnetic waves. All waves have different characteristics.

The physical characteristics of the wave are represented by the wavelength, frequency, amplitude, direction of vibration, and also the direction of propagation. Wavelength is the distance of one wave and is represented by the Greek letter Lambda (λ).

On transverse waves, length can be calculated as the distance from the peak of the wave to the crest of the next wave, or the trough of the wave to the trough of the next. Whereas in longitudinal waves, the wavelength can be calculated from one stretch to the next stretch, or the distance from one density to the next.

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When the driver hits the brakes, the car of Approx. $3 / 61$ is moving around the circular road at a speed of $25 mathrm mi / mathrm hr. 

What makes speed different from speed?

The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction. An thing is travelling more quickly when its speed is higher. It is traveling more slowly when the speed is lower. It has zero pace if it isn't traveling at all.

What is an object's typical speed?

The relationship between average speed and velocity is Vav = st. While velocity indicates the how fast and in what direction an object is travelling, speed merely indicates how rapidly an object is moving. A car's speed has been mentioned if it is stated to be 60 km/h.

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Answer:

Explanation:

Impulse of force =12.96 Ns

Explanation:

Impulse = force* time = change in momentum  = mass* velocity

Given the following data;

mass = 1.08kg

Change in velocity = 12m/s

Impulse of force = 1.08* 12 = 12.96Ns

Answer:

Below

Explanation:

You have conflicting statements....first you say it is accelerating....then you say it is constant speed.

Here is the force if the elevator is accelerating  

95 ( 1.5 + 9.81) = 1074 N (if the scale reads N)  

               If the scale reads KG  then  1074/9.81 = 109.5 kg

If the elevator is constant speed his weight will not change  95kg  (932 N)

If the electron accelerates through a potential difference of 18500 V , then the electron will gain  2.96 × 10⁻¹⁵  Joules   and  1.85 × 10⁴ eV  .

The amount of Kinetic Energy that an electron gain which accelerates through a potential difference of 18500 V is calculated by using the equation:   ΔK = eV    ;

where ΔK is = change in kinetic energy,

⇒ e is = electron charge (approximately 1.60×10⁻¹⁹ C), and V is = potential difference.

Substituting in values, we get ;

⇒ ΔK = (1.60×10⁻¹⁹ C) × 18500 V

⇒ 2.96 × 10⁻¹⁵  Joules  

In electron volts (eV), the energy is calculated as :

⇒ ΔK (eV) = ΔK/(1.60 × 10⁻¹⁹ J/eV)

⇒ ΔK (eV) = (2.96 × 10⁻¹⁵  Joules)/(1.60 × 10⁻¹⁹ J/eV)   ;

⇒ 1.85 × 10⁴ eV

The given question is incomplete , the complete question is

How much Kinetic energy will an electron gain (in Joules and eV) if it accelerates through a potential difference of 18500 V ?

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The potential difference from one side of the sphere to the other side of the sphere is zero.

Potential difference between any two points In the electric field is defined as the amount of work done in moving a unit positive charge without acceleration from one point to another along any path between the two points.

The potential on the surface of sphere with radius r is,

[tex]V= \dfrac{kq}{r}[/tex]

where q is the charge on the sphere, r is the radius of sphere(that is the distance of center to the surface) and k is the permittivity of free space.

On the either sides of sphere the distance from the center is same. Hence the V will be same. Therefore the potential difference is zero.

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