## Differential Equation of SHM - MCQ - Basic Level

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

•  Execute simple harmonic motion about origin
•  Move to the origin and remained at rest
•  Move to infinity
•  Execute oscillation but not simple harmonic motion

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

•  T = 2Ï€ √(M h/P A)
•  T = 2Ï€ √(M A/P h)
•  T = 2Ï€ √(M/P A h)
•  T = 2Ï€ √(M P h A)

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

•  2Ï€ √((R - r) 1.4/ g)
•  2Ï€ √((R - r)/ g)
•  2Ï€ √(rR/ g)
•  2Ï€ √((R/ gr)

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

•  84.6 minutes
•  42.3 minutes
•  1 day
•  Will not reach the other end

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

•  T = 2Ï€ √(M / g)
•  T = 2Ï€ √(Ma / gd)
•  T = 2Ï€ √(M / gda)
•  T = 2Ï€ √(M / 2agd)

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

•  T = 2Ï€ √(abc / g)
•  T = 2Ï€ √(bc / dg)
•  T = 2Ï€ √(g / da)
•  T = 2Ï€ √(da / g)

## Want to know more

Please fill in the details below:

## Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING: Differential Equation of SHM - MCQ - Basic
Differential Equation of SHM - MCQ - Basic
https://1.bp.blogspot.com/-10xBra3kyG4/X5WydGQEZAI/AAAAAAAAA6c/mkwmbP9qlCgVCFPsEC1mg7qXPzZAPv9ewCLcBGAsYHQ/s320/4.jpg
https://1.bp.blogspot.com/-10xBra3kyG4/X5WydGQEZAI/AAAAAAAAA6c/mkwmbP9qlCgVCFPsEC1mg7qXPzZAPv9ewCLcBGAsYHQ/s72-c/4.jpg
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING
https://www.cleariitmedical.com/2020/10/differential-equation-of-shm-mcq-basic.html
https://www.cleariitmedical.com/
https://www.cleariitmedical.com/
https://www.cleariitmedical.com/2020/10/differential-equation-of-shm-mcq-basic.html
true
7783647550433378923
UTF-8

STAY CONNECTED