Oscillations: To and Fro Motions About a Fixed point After Regular Intervals of Time

In this quiz, you will find questions related to Oscillatory motion, forced oscillations, oscillators, and related formulas.

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Which of the following variables has zero value at the extreme position in SHM?

Acceleration Speed Displacement Angular frequency

A particle is undergoing SHM with amplitude 10cm. The maximum speed it achieves is 1m/s. Find the time it takes to reach from the mean position to half the amplitude.

π/60 s π/30 s π/15 s π/40 s

2 particles undergoing SHM start from the mean position and go in opposite directions. Particle 1 starts with a speed of 10m/s and particle 2 starts with a speed 0f 5m/s. If the amplitude(=10cm) is the same. At what position will they first meet?

0.0866m -0.0633m 0 0.0633m

A particle has an equation of motion given by: x = cos2wt – sin2wt. Select the correct statement regarding the same.

It is not a SHM It is a SHM with T = π/w It is an SHM with T = 2π/w Amplitude of motion is 1/√2 m

A particle starts from the extreme position, at t = 0, in a SHM. If the time period of motion is 2s & maximum speed is 5m/s, find the equation of motion.

x = 1.59cos(πt) x = 1.59sin(πt) x = 2.5sin(2t) x = 2.5cos(2t)

Spring is pulled down by 2 cm. What is amplitude of motion?

0 cm 6 cm 2 cm cm

When a particle performing uniform circular motion of radius 10 cm undergoes the SHM, what will be its amplitude?

10 cm 5 cm 2.5 cm 20 cm

For a magnet of time period T magnetic moment is M, if the magnetic moment becomes one fourth of the initial value, then the time period of oscillation becomes.

Half of initial value One fourth of initial value Double of initial value Four time initial value

The displacement of a particle in simple harmonic motion in one time period is [A = amplitude]

Zero 4 A 2 A A

For a body executing simple harmonic motion, which parameter comes out to be non-periodic ?

None of these Velocity Displacement Acceleration

The displacement y of a particle executing periodic motion is given by y = 4 cos² (t/2) sin (1000t). This expression may be considered to be a result of superposition of the following number of harmonic motions.

Two

Three

Four

Five

One of the two clocks on the earth is controlled by a pendulum and other by a spring. If both the clocks are taken to the moon, then which clock will have the same time – period of the earth?

Spring clock

Pendulum clock

Both

None

In SHM, the acceleration is directly proportional to

Displacement

Time

Linear velocity

Frequency

A system exhibiting SHM must possess

Elasticity as well as inertia

Elasticity, inertia and an external force