Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 132

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A simple pendulum of length $L$ swings in a vertical plane. The tension of the string when it makes an angle $θ$ with the vertical and the bob of mass $m$ moves with a speed $v$ is $g$ is the gravitational acceleration

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Important Questions on Oscillations

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 133

In a simple pendulum, the period of oscillation

T

is related to the length of the pendulum

l

as

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 134

A second's pendulum is placed in a space laboratory orbiting around the earth at a height

3 R,

where

R

is the radius of the earth. The time period of the pendulum is

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 135

The length of the seconds' pendulum at a place where

g = 4.9 m s^{- 2}

is

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 136

What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to a vertical height of

10 cm ? (g = 9.8 m s^{- 2})

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 137

A carriage is sliding down an inclined plane at an angle of

60 °

with a simple pendulum of length

1 m,

its period of oscillation will be

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 138

A second's pendulum performs

100

oscillations in

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 139

Two simple pendulums A and B of lengths

1.69 m

and

1.44 m

start swinging at the same time from a location where the acceleration due to gravity is

10 m s^{- 2}

. How many vibrations' pendulum B will complete when it will be out of phase with A?

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 140

A simple pendulum of length

l

Has a brass bob attached at its lower end. Its period is

T

. If a steel bob of same size having density

\times

Time that of brass replaces the brass bob and its length is changed so that period becomes

2 T

, then new length is