# Simple Pendulum

## Trending Questions

**Q.**

It takes 0.2 s for a pendulum bob to move from mean position to one end. What is the time period of pendulum ?

**Q.**

Name two factors on which the time period of a simple pendulum depends . Write the relation for the time period in terms of the above named factors.

**Q.**

The slope of T2 vs l graph for a simple pendulum is

2π4g

4π2g

4πg2

4πg

**Q.**

How much time does the bob of a seconds' pendulum take to move from one extreme of its oscillation to the other extreme ?

**Q.**

A simple pendulum completes 40 oscillations in one minute. Find its (a) frequency, (b) time period.

**Q.**

A pendulum clock loses 12 seconds a day if the temperature is 40∘C and goes fast by 4 seconds a day if the temperature is 20∘C. Find the temperature at which the clock will show correct time, and the coefficient of linear expansion of the metal of the pendulum shaft.

26°C; 1.25 × 10

^{-5}/°C20°C; 1.55 × 10

^{-5}/°C25°C; 1.85 × 10

^{-5}/°C22°C 1.75/°C

**Q.**

What is a seconds' pendulum?

**Q.**What is the time period of a seconds' pendulum?

- 1 s
- 2 s
- 0.5 s
- 4 s

**Q.**

Define the terms : (i) oscillation, (ii) amplitude, (iii) frequency, and (iv) time period as related to a simple pendulum.

**Q.**

What is the effective length of a second's pendulum for a place where g = 9.8 m s−2? [Given: The time period of a seconds' pendulum = 2 s]

0.5 m

1 m

2 m

4 m

**Q.**

The time period T of a simple pendulum is related to its length l as

T∝l

T∝l2

T2∝√l

T2∝l

**Q.**While measuring the acceleration due to gravity by a simple pendulum, a student makes a positive error of 1% in the length of the pendulum and a negative error of 3% in the value of time period. His percentage error in the measurement of g by the relation g=4π2(lT2) will be

- 2%
- 4%
- 10%
- 7%

**Q.**

A pendulum oscillates 40 times in 4 seconds. Find its time period and frequency

**Q.**

If the time period of a two meter long simple pendulum is $2s$, the acceleration due to gravity at the place where pendulum is executing S.H.M. is:

$2{\pi}^{2}m{s}^{-2}$

$16m{s}^{-2}$

$9.8m{s}^{-2}$

${\pi}^{2}m{s}^{-2}$

**Q.**

What would be the time period of a simple pendulum at the centre of the Earth?

Same as that on the surface of the Earth

Zero

Infinite

Can’t be determined

**Q.**

A sonometer wire of length$1.5m$ is made of steel. The tension in it produces an elastic strain of $1\%$. What is the fundamental frequency of steel if the density and elasticity of steel are $7.7\times {10}^{3}kg/{m}^{3}$ and $2.2\times {10}^{11}N/{m}^{2}$ respectively?

$188.5Hz$

$178.2Hz$

$200.5Hz$

$770Hz$

**Q.**

The frequency of oscillation of a seconds pendulum is

**Q.**

Name two factors on which the time period of a simple pendulum does not depend.

**Q.**

The time period of a simple pendulum is 2 s. What is its frequency ? What name is given to such a pendulum ?

**Q.**

A lead bullet penetrates into a solid object and melts. Assuming that 50% of its kinetic energy was used to heat it, calculate the initial speed of the bullet. The initial temperature of the bullet is 27∘C and its melting point is 327∘C. Latent heat of fusion of lead = 2.5 × 104 J kg−1 and specific heat capacity of lead = 125 J kg1 K1.

500 m/s

5000 m/s

100 m/s

1000m/s

**Q.**

The time periods of two simple pendulums at a place are in ratio 2 : 1. What will be the ratio of their length ?

**Q.**A pendulum clock that keeps correct time on the earth is taken to the moon. It will run

- 6 times faster
- √6 times faster
- √6times slower

**Q.**

Two simple pendulums A and B have length 1.0 m and 4.0 m respectively at a certain place. Which pendulum will make more oscillations in 1 minute ? Explain your answer.

**Q.**

Sundial is a device that measures time.

True

False

**Q.**

How do you find the acceleration of a pendulum?

**Q.**

The time period of oscillation depends on the mass or material of the body suspended (i.e., bob).

True

False

**Q.**

What is the maximum displacement of bob of a pendulum from mean position called?

Amplitude

Period

Frequency

**Q.**

The length of a simple pendulum is made one fourth. Its time period becomes:

one-fourth

double

half

four times

**Q.**

The time period of a simple pendulum on earth is 2 s. What will be the time period of same pendulum when it is brought on moon? (Value of g at moon is 1/6 of value of g at earth’s surface:

4.9 s

6 s

4.2 s

4 s

**Q.**

The pendulum used in a clock is a