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Periodic Motion is a consistently high-yield chapter in Grade XII Physics, appearing in nearly every NEB and HISSAN board paper through a predictable mix of MCQs, derivations, and numerical problems on simple harmonic motion (SHM). A clear pattern emerges from past papers: theory questions frequently ask students to derive the total energy of a particle executing SHM, prove that a simple pendulum’s motion is simple harmonic, and explain how time period changes with length or mass (e.g., “what happens to time period if length is increased 4 times”). Numerical problems consistently test velocity and acceleration at the mean and extreme positions of a swinging pendulum, along with spring-mass systems and their force constants.

Below is a complete collection of past NEB and HISSAN board questions on this chapter (2072–2082), organized by MCQs, theory questions, and numerical problems. For step-by-step worked solutions to the numerical problems, see the Solutions section for this chapter.

MCQs

Q12083

The length of a pendulum is increased by 21%. By what percentage, the period of the motion increases?
a.
9.8%
b.
10%
c.
11%
d.
21%
Show answer
Correct answer: (B)
Q22082 GIE ‘A’

A body is executing SHM with amplitude A. At what displacement from mean position, its kinetic energy will be half of its maximum value?
a.
[latex]\frac{A}{2}[/latex]
b.
[latex]\frac{A}{4}[/latex]
c.
[latex]\frac{\sqrt{3}}{2}A[/latex]
d.
[latex]\frac{A}{\sqrt{2}}[/latex]
Show answer
Correct answer: (D)
Q32082 GIE ‘B’

If the time period of oscillation of mass ‘m’ suspended from a spring is 2 sec, what will be the period of oscillation of mass ‘9m’?
a.
1 sec
b.
2 sec
c.
6 sec
d.
18 sec
Show answer
Correct answer: (C)
Q42082

For an oscillating object, the displacement versus time curve shown in figure. What is the velocity of the object in the mean position?
a.
[latex]0.2\pi\ m/s[/latex]                                    
b.
[latex]0.4\pi\ m/s[/latex]
c.
 [latex]2\pi\ m/s[/latex]                                     
d.
[latex]4\pi\ m/s[/latex]
Show answer
Correct answer: (A)
Q52081 GIE ‘A’

What will happen to the time period of a simple pendulum when its length is increased by 4 times?
a.
 It will remain constant                                     
b.
It will be tripled
c.
 It will be doubled                                            
d.
It will be halved
Show answer
Correct answer: (C)
Q62081 GIE ‘B’

For a simple pendulum, the graph between [latex]l[/latex] and [latex]T^2[/latex] comes out to be
a.
 straight line                             
b.
parabola                  
c.
hyperbola                
d.
circular
Show answer
Correct answer: (A)
Q72081 ‘B/C’

The displacement versus time graph of particles in SHM is shown in figure. The maximum velocity of the particle is
a.
 1 [latex]cms^{-1}[/latex]                                  
b.
0.2 [latex]cms^{-1}[/latex]
c.
 3.14 [latex]cms^{-1}[/latex]                              
d.
31.4 [latex]cms^{-1}[/latex]
Show answer
Correct answer: (D)
Q82081 ‘D’

The period of oscillation of mass M suspended from a spring is 2 seconds. What will be the period if mass is equal to 4M?
🔒

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