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NEET • PHYSICS • OSCILLATIONS

Oscillations practice · Mixed difficulty

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Showing 151-164 of 164 questions

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151 Medium

151 of 164

Understanding +4 | -1

A body having natural frequency

\nu

' is executing forced oscillations under a driving force of frequency. The system will vibrate

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Correct option: A

with frequency of driving force

\nu

Option A (with frequency of driving force

\nu

) is correct because in forced oscillations, the system vibrates at the frequency of the external driving force, not its natural frequency.

152 Medium

152 of 164

Understanding +4 | -1

The restoring force of SHM is maximum when particle

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Correct option: A

Displacement is maximum

Option A (Displacement is maximum) is correct because the restoring force is directly proportional to the displacement from the equilibrium position.

153 Medium

153 of 164

Understanding +4 | -1

The time period of a simple pendulum, when it is made to oscillate on the surface of moon

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Correct option: A

Increases

Option A (Increases) is correct because the acceleration due to gravity on the moon is less than that on Earth, leading to a larger time period.

154 Medium

154 of 164

Remembering +4 | -1

If a body oscillates at the angular frequency

{\omega _d}

of the driving force, then the oscillations are called

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Correct option: C

Forced oscillations

The correct answer is C (Forced oscillations) because forced oscillations occur when a body oscillates at the frequency of the external driving force.

155 Medium

155 of 164

Understanding +4 | -1

What is the effect on the time period of a simple pendulum if the mass of the bob is doubled

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Correct option: D

No effect

Option D (No effect) is correct because the time period of a simple pendulum is independent of the mass of the bob.

156 Easy

156 of 164

Application +4 | -1

A copper sphere attached to the bottom of a vertical spring is oscillating with time period

10 \mathrm{~s}

. If the copper sphere is immersed in a fluid (assume the viscosity of the fluid is negligible) of specific gravity

\frac{1}{4}

of that of the copper, then time period of the oscillation is

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Correct option: B

10 \mathrm{~s}

Option B (

10 \mathrm{~s}

) is correct because the time period of oscillation depends on the effective weight of the sphere, which is reduced by the buoyant force, but the ratio of effective weight to mass remains the same, hence the time period remains the same.

157 Medium

157 of 164

Understanding +4 | -1

A particle of mass m is hanging vertically by an ideal spring of force constant K. If the mas is made to oscillate vertically, its total energy is

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Correct option: D

Same at all position

Option D (Same at all position) is correct because the total energy in SHM is conserved and remains constant throughout the oscillation.

158 Easy

158 of 164

Understanding +4 | -1

I. In SHM to find time taken in moving from one point to another point, we cannot apply the relation, Time

=\frac{\text { Distance }}{\text { Speed }}

II. In SHM, speed is constant.
Which of the following statement(s) is/are correct?

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Correct option: B

Only I

Option B (Only I) is correct because in SHM, the speed is not constant, and therefore, the simple relation Time = Distance/Speed cannot be directly applied.

159 Easy

159 of 164

Application +4 | -1

A SHM is given by

y=5[\sin (3 \pi t)+\sqrt{3} \cos (3 \pi t)]

. What is the amplitude of the motion of

y

in metre?

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Correct option: A

Option A (10) is correct because the amplitude of the motion is found by converting the given equation into the form A sin(ωt + φ) and then identifying A.

160 Medium

160 of 164

Analyzing +4 | -1

The displacement of a particle along the

x

axis is given by

x = a{\sin ^2}\omega t

The motion of the particle corresponds to

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Correct option: D

Non simple harmonic motion

Option D (Magnitude of the velocity of particle is 8 meter/second) is wrong because the magnitude of the velocity is

8\pi

m/s.

161 Medium

161 of 164

Analyzing +4 | -1

The displacement y of a particle executing periodic motion is given by

y = 4{\cos ^2}\left( {t/2} \right)\sin \left( {1000t} \right)

. This expression may be considered to be a result of the superposition of…….. independent harmonic motions

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Correct option: B

Three

Option B (Three) is correct because the given equation can be expanded using trigonometric identities into three independent harmonic motions.

162 Easy

162 of 164

Analyzing +4 | -1

Molten-wax of mass

m

drops on a block of mass

M

, which is oscillating on a frictionless table. Select the correct option.

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Correct option: D

time period increases

Option D, time period increases, is correct because the addition of mass increases the inertia of the system, thus increasing the time period of oscillation.

163 Medium

163 of 164

Application +4 | -1

A mass m is vertically suspended from a spring of negligible mass; the system oscillates with a frequency n. What will be the frequency of the system if a mass 4 m is suspended from the same spring

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Correct option: C

n/2

Option C (

n/2

) is correct because the frequency is inversely proportional to the square root of the mass.

164 Hard

164 of 164

Understanding +4 | -1

The displacement, velocity and acceleration in a simple harmonic motion are related as the

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Correct option: A

displacement, velocity and acceleration all act in the same direction

Option D (displacement and acceleration are anti-parallel and both perpendicular to the velocity) is incorrect. Displacement and acceleration are anti-parallel, but they are not necessarily perpendicular to velocity. The correct option is that displacement and acceleration are anti-parallel and both perpendicular to the velocity.

Revision notes and key takeaways

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Oscillations practice · Mixed difficulty

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