## Differential Equation of SHM - MCQ - Basic Level

**Dear Readers,**

Physics is an important subject in preparation for various Competitive
exams. To keep a track of your preparation we have designed a small quiz
of
**Basic Level** Questions on
**Differential Equation of SHM.** You have 10 minutes to
solve the quiz, click the start timer button in order to start the timer
and then click on submit button at the end to submit the quiz and view
your scores and correct answers.

**Q1. **
If a simple harmonic oscillator has got a displacement of 0.02 m and
acceleration equal to 2.0 ms^{-2} at any time, the angular
frequency of the oscillator is equal to

**Q2. **Two equal negative charges – q are fixed at
points (0, a) and (0, –a) on the Y-axis. A positive charge Q is
released from rest at point (2a, 0) on the X-axis. The charge Q will

**Q3. **A cylindrical piston of mass M slides
smoothly inside a long cylinder closed at one end, enclosing a certain
mass of gas. The cylinder is kept with its axis horizontal. If the
piston is disturbed from its equilibrium position, it oscillates
simple harmonically. The period of oscillation will be

**Q4. **A sphere of radius r is kept on a concave
mirror of radius of curvature R. The arrangement is kept on a
horizontal table (the surface of concave mirror is frictionless and
sliding not rolling). If the sphere is displaced from its equilibrium
position and left, then it executes S.H.M. The period of oscillation
will be

**Q5. **A tunnel has been dug through the centre of
the earth and a ball is released in it. It will reach the other end of
the tunnel after

**Q6. **A ‘U’ tube of uniform bore of
cross-sectional area ‘a’ has been set up vertically with open ends
facing up. Now m gm of a liquid of density d is poured into it. The
column of liquid in this tube will oscillate with a period T such that

**Q7. **A block of wood has dimensions a, b and c.
Its relative density is d. It is floating in water such that the side
a is vertical. It is now pushed down gently and released. The time
period of its S.H.M. is