Periodic motion - period, frequency and displacement — NEET & JEE Questions

Question 1 · difficulty L1 · recall

The frequency of a periodic motion is related to its period by

• A. $f=1/T$
• B. $f=T$
• C. $f=T^2$
• D. $f=2\pi T$

Question 2 · difficulty L2 · understanding

The SI unit of frequency is

• A. hertz
• B. second
• C. metre
• D. radian

Question 3 · difficulty L2 · understanding

A motion is periodic if it

• A. repeats itself after equal intervals of time
• B. has constant speed only
• C. moves in a straight line only
• D. has zero displacement always

Question 4 · difficulty L2 · understanding

In simple harmonic motion, displacement is measured from

• A. the equilibrium position
• B. the farthest extreme only
• C. the origin of the laboratory coordinate system only
• D. the point of maximum speed only regardless of coordinates

Question 5 · difficulty L3 · application

A particle completes 20 oscillations in 10 s. What is its frequency?

• A. 0.5 Hz
• B. 2 Hz
• C. 10 Hz
• D. 20 Hz

Question 6 · difficulty L3 · application

An oscillator has frequency 5 Hz. What is its period?

• A. 0.20 s
• B. 2 s
• C. 5 s
• D. 10 s

Question 7 · difficulty L3 · application

A periodic motion has period 0.25 s. How many cycles occur in 5 s?

• A. 5
• B. 10
• C. 20
• D. 25

Question 8 · difficulty L3 · application

For SHM described by $x=A\cos\omega t$, what is the displacement at $t=0$?

• A. $+A$
• B. 0
• C. $-A$
• D. $A/2$

Question 9 · difficulty L4 · application

An oscillator has angular frequency $\omega=10\pi\,\text{rad s}^{-1}$. What is its ordinary frequency?

• A. 2.5 Hz
• B. 5 Hz
• C. 10 Hz
• D. 20 Hz

Question 10 · difficulty L4 · application

A particle in SHM has displacement $x=A\sin(2\pi t)$, with t in seconds. What is its period?

• A. 0.5 s
• B. 1 s
• C. 2 s
• D. $2\pi$ s