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Physics Simple Harmonic Motion (Oscillations) Spring Mass System MCQ (Single Correct)

The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be:

A
B
T
C
D
2T

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The correct answer is:
A

Force constant of spring is inversely proportional to length of spring.

Time period of mass suspended from spring,

............(i)

Now we know that,

spring constant

or ............(ii)

Since, spring is cut into four equal parts, hence force constant of each part becomes four times the

previous. So,

k’ = 4k

So, new time period of same mass suspended from one of the parts,

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