Using a Simple Pendulum, Plot its L-T2 Graph and Use it to Find the Effective Length of Second’s Pendulum Viva Questions with Answers

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A simple pendulum can be defined as a "single isolated particle suspended by a weightless, flexible, and inextensible string with friction-free support."

A simple pendulum is a mechanical system that oscillates in a vertical plane caused by gravitational force.
The bob held at the end of a thread is extremely light i.e. massless.
The period of a simple pendulum can be increased by increasing the length of the string while measuring from the point of suspension to the center of the bob.
If the mass of the bob changes, the period remains constant.
Because the intensity of the gravitational field is not uniform everywhere, the period is primarily influenced by the position of the pendulum in reference to Earth.
A seconds pendulum has a period of precisely two seconds; one second for a swing in one direction and one second for the return swing, resulting in a frequency of 0.5 Hz.

The time period of a simple pendulum can be calculated by the formula

\(T = 2 \pi \sqrt{\frac{L}{g}}\)

Where L is the length of the string and g is the acceleration due to gravity.

Ques. What is a simple pendulum?

Ans. A simple pendulum consists of a heavy point mass (referred to as the bob) hanging from a rigid support by a massless and inextensible thread. A pendulum is set to motion when a bob from its mean position is pulled to one side and then released.

Ques. Define the restoring force.

Ans. A restoring force is a force that helps in returning the vibrating body to its normal position. This force acts as a resisting force for the vibrating body.

Ques. For a simple pendulum, why is a spherical bob chosen?

Ans. For a simple pendulum, a spherical bob is used for the following reasons:

The spherical shape has the smallest volume for a given density value.
The spherical shape reduces air friction.

Ques. Is the simple pendulum used in a pendulum clock?

Ans. In pendulum clocks, no simple pendulum is used. Because the bob in a simple pendulum is a point-heavy mass and the string is regarded as massless. However, with a pendulum clock, the bob is not a point mass, and the string is not massless.

Ques. Between speed and acceleration, which variable will become zero at the extreme position in SHM?

Ans. The body comes to an instantaneous rest at the extreme position in SHM, and so the acceleration and force are highest at this point, according to the force equation: F = -kx. As a result, at an extreme point, speed becomes zero and acceleration becomes maximum.

Ques. Why do we use heavy bob which is small in size in a simple pendulum?

Ans. The restoring force of a heavy bob is sufficient to overcome air resistance. A small bob has less resistance due to air. As a result, a heavy bob having a small size is used as a bob in a simple pendulum.

Ques. What will happen to the time period if a simple pendulum is set up on the surface of the moon?

Ans. The time period will increase as the value of 'g' on the moon's surface is smaller than that on the earth's surface.

Ques. What is a second’s pendulum?

Ans. It is a simple pendulum with a time period of 2 seconds. To move from one extreme position to the other end it takes one second.

Ques. If you set up a simple pendulum in an artificial satellite orbiting the Earth what will be the period of the pendulum?

Ans. The value of acceleration due to gravity (g) is zero inside a satellite orbiting the Earth. Hence the time period of the simple pendulum becomes infinity.

Ques. What is meant by periodic motion?

Ans. A periodic motion is a type of motion in which a body repeats its motion after a regular interval of time.

Ques. If a particle moves with simple harmonic motion, then its periodic time can be defined as the time taken by the particle to complete one oscillation. Is it true or false?

Ans. The above statement is correct since the time period is defined as the time required by a particle to complete one oscillation while traveling in simple harmonic motion.

Ques. What is simple harmonic motion?

Ans. Simple harmonic motion is defined as a back-and-forth movement of an object through an equilibrium point. The movement should be performed in such a way that the extreme displacement on one side of the center position equals the extreme displacement on the other side. The time period for completing each vibration will be the same.

Ques. What is the relationship between time period and frequency?

Ans. The time period and frequency are inversely proportional to each other, and it is given by

f = 1/T

Where f is the frequency and T is the time period.

Ques. What do you mean by the standing wave?

Ans. A standing wave is a combination of waves that are combined as a result of interference, have the same amplitude and frequency, and are traveling in opposite directions. The stationary wave is another name for the standing wave.

Ques. Define the amplitude of a simple pendulum.

Ans. The amplitude of a simple pendulum is the distance that the bob of the pendulum moves from its equilibrium position to one side.

Ques. If a particle is moving with simple harmonic motion, then its acceleration will be inversely proportional to its displacement from the mean position. Is it true or false?

Ans. The above statement is false since a particle's acceleration is directly proportional to its displacement from the mean position if it represents simple harmonic motion.

Ques. In a uniform circular motion, the angular speed of a body is equivalent to the angular frequency of SHM of its projection. Is it true or false?

Ans. The given statement is true. Let's suppose that the body has covered an angle of 'ωt' at any time 't' and that its initial angular speed is 'ω' (on the x-axis). The projection will now be given by: x = Asin(wt) on the x-axis.

This demonstrates that SHM's angular frequency and angular speed will be the same.

Ques. What is the phase difference between acceleration and velocity in simple harmonic motion?

Ans. In simple harmonic motion, the phase difference between acceleration and velocity is usually π/2.

Ques. What is the difference between ‘g’ and ‘G’?

Ans. While the gravitational constant G is constant throughout the universe, the value of 'g' decreases as height increases.

Ques. What is the formula for the period of a simple pendulum?

Ans. The time period of a simple pendulum can be calculated by the formula

\(T = 2 \pi \sqrt{\frac{L}{g}}\)

Where L is the length of the string.

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Using a Simple Pendulum, Plot its L-T2 Graph and Use it to Find the Effective Length of Second’s Pendulum Viva Questions with Answers

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CBSE CLASS XII Related Questions

1.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

2.
The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

3.
Four independent waves are expressed as \[ (i)\; y_1=A_1\sin\omega t, \] \[ (ii)\; y_2=A_2\sin 2\omega t, \] \[ (iii)\; y_3=A_3\cos\omega t, \] \[ (iv)\; y_4=A_4\sin\left(\omega t+\frac{\pi}{3}\right) \] The interference between two of these waves is possible in

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Write any two features of nuclear forces.

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A light copper ring is freely suspended by a light string. A bar magnet is held horizontally with its length along the axis of the ring. The magnet is moved towards the ring with its N pole facing the loop. What will happen to the ring and its position? Explain.

6.
Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

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Using a Simple Pendulum, Plot its L-T2 Graph and Use it to Find the Effective Length of Second’s Pendulum Viva Questions with Answers

Previous Year Questions

CBSE CLASS XII Related Questions

1.Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

2.The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

3.Four independent waves are expressed as \[ (i)\; y_1=A_1\sin\omega t, \] \[ (ii)\; y_2=A_2\sin 2\omega t, \] \[ (iii)\; y_3=A_3\cos\omega t, \] \[ (iv)\; y_4=A_4\sin\left(\omega t+\frac{\pi}{3}\right) \] The interference between two of these waves is possible in

4. Write any two features of nuclear forces.

5.A light copper ring is freely suspended by a light string. A bar magnet is held horizontally with its length along the axis of the ring. The magnet is moved towards the ring with its N pole facing the loop. What will happen to the ring and its position? Explain.

6.Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

2.
The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

3.
Four independent waves are expressed as \[ (i)\; y_1=A_1\sin\omega t, \] \[ (ii)\; y_2=A_2\sin 2\omega t, \] \[ (iii)\; y_3=A_3\cos\omega t, \] \[ (iv)\; y_4=A_4\sin\left(\omega t+\frac{\pi}{3}\right) \] The interference between two of these waves is possible in

4.
Write any two features of nuclear forces.

5.
A light copper ring is freely suspended by a light string. A bar magnet is held horizontally with its length along the axis of the ring. The magnet is moved towards the ring with its N pole facing the loop. What will happen to the ring and its position? Explain.

6.
Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –