Physics Simple Harmonic Motion (Oscillations) All Topic Question for Revision Test MCQ (Single Correct)

Four massless springs whose force constants are , , and , respectively are attached to a mass , kept on a frictionless plane (as shown in figure). If the mass is displaced in the horizontal direction, then find the frequency of the system.

A
B

C
D

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The correct answer is:
B

Spring on the left of the block are in series, hence there equivalent is

Springs on the right of the block are in parallel, hence there equivalent is

Now again both and are in parallel

Hence, frequency is

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