11th Physics Monthly Test - 4 ( Oscillations )

MABS Institution

11th Physics Monthly Test - 4 ( Oscillations )-Aug 2020

Time : 2.00 Hours

Part - A

Generic 5 - Answer All Question

Describe the vertical oscillations of a spring.

One end of a U-tube containing mercury is connected to a suction pump and the other end to atmosphere. A small pressure difference is maintained between the two columns. Show that, when the suction pump is removed, the liquid column of mercury in the U-tube executes simple harmonic motion.

Show that the projection of uniform circular motion on a diameter is SHM.

Consider the Earth as a homogeneous sphere of radius R and a straight hole is bored in it through its centre. Show that a particle dropped into the hole will execute a simple harmonic motion such that its time period is \(T=2\pi \sqrt { \frac { R }{ g } } \).

What is meant by angular harmonic oscillation? Compute the time period of angular harmonic oscillation.

The bob of simple pendulum executes S.H.M is water with a period t, while the period of oscillation of the bob is to in air, neglecting frictional force of water and given that the density of the bob is \(\frac{4000}{3}\)kg m^-3, find the relationship between t and t₀?

Explain briefly about oscillations.

Calculate the amplitude, angular frequency, frequency, time period and initial phase for the simple harmonic oscillation given below
a. y = 0.3 sin (40\(\pi\)t + 1.1)
b. y = 2 cos (\(\pi\)t)
c. y = 3 sin (2\(\pi\)t − 1.5)

Show that for a simple harmonic motion, the phase difference between
a. displacement and velocity is \(\frac{\pi}{2}\)radian or 90°.
b. velocity and acceleration is \(\frac{\pi}{2}\)radian or 90°.
c. displacement and acceleration is \(\pi\) radian or 180°.

Explain in detail the four different types of oscillations.

Write short notes on the oscillations of liquid column in U-tube.

A simple pendulum has time period T, the point of suspension is now moved upward acceleration to the relation Y= kt² (k = 1 ms^-2) where Yis the versicle displacement the time period now becomes T₂. What is the ratio \(\frac { { T }_{ 1 }^{ 2 } }{ { T }_{ 2 }^{ 2 } } \)? Given g=10 ms^-2.

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11th Physics Monthly Test - 4 ( Oscillations )

MABS Institution

11th Physics Monthly Test - 4 ( Oscillations )-Aug 2020

Part - A

Generic 5 - Answer All Question

Describe the vertical oscillations of a spring.

One end of a U-tube containing mercury is connected to a suction pump and the other end to atmosphere. A small pressure difference is maintained between the two columns. Show that, when the suction pump is removed, the liquid column of mercury in the U-tube executes simple harmonic motion.

Show that the projection of uniform circular motion on a diameter is SHM.

Consider the Earth as a homogeneous sphere of radius R and a straight hole is bored in it through its centre. Show that a particle dropped into the hole will execute a simple harmonic motion such that its time period is \(T=2\pi \sqrt { \frac { R }{ g } } \).

What is meant by angular harmonic oscillation? Compute the time period of angular harmonic oscillation.

The bob of simple pendulum executes S.H.M is water with a period t, while the period of oscillation of the bob is to in air, neglecting frictional force of water and given that the density of the bob is \(\frac{4000}{3}\)kg m-3, find the relationship between t and t0?

Explain briefly about oscillations.

Calculate the amplitude, angular frequency, frequency, time period and initial phase for the simple harmonic oscillation given below a. y = 0.3 sin (40\(\pi\)t + 1.1) b. y = 2 cos (\(\pi\)t) c. y = 3 sin (2\(\pi\)t − 1.5)

Show that for a simple harmonic motion, the phase difference between a. displacement and velocity is \(\frac{\pi}{2}\)radian or 90°. b. velocity and acceleration is \(\frac{\pi}{2}\)radian or 90°. c. displacement and acceleration is \(\pi\) radian or 180°.

Explain in detail the four different types of oscillations.

Write short notes on the oscillations of liquid column in U-tube.

A simple pendulum has time period T, the point of suspension is now moved upward acceleration to the relation Y= kt2 (k = 1 ms-2) where Yis the versicle displacement the time period now becomes T2. What is the ratio \(\frac { { T }_{ 1 }^{ 2 } }{ { T }_{ 2 }^{ 2 } } \)? Given g=10 ms-2.

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The bob of simple pendulum executes S.H.M is water with a period t, while the period of oscillation of the bob is to in air, neglecting frictional force of water and given that the density of the bob is \(\frac{4000}{3}\)kg m^-3, find the relationship between t and t₀?

Calculate the amplitude, angular frequency, frequency, time period and initial phase for the simple harmonic oscillation given below
a. y = 0.3 sin (40\(\pi\)t + 1.1)
b. y = 2 cos (\(\pi\)t)
c. y = 3 sin (2\(\pi\)t − 1.5)

Show that for a simple harmonic motion, the phase difference between
a. displacement and velocity is \(\frac{\pi}{2}\)radian or 90°.
b. velocity and acceleration is \(\frac{\pi}{2}\)radian or 90°.
c. displacement and acceleration is \(\pi\) radian or 180°.

A simple pendulum has time period T, the point of suspension is now moved upward acceleration to the relation Y= kt² (k = 1 ms^-2) where Yis the versicle displacement the time period now becomes T₂. What is the ratio \(\frac { { T }_{ 1 }^{ 2 } }{ { T }_{ 2 }^{ 2 } } \)? Given g=10 ms^-2.