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Question

# A block of mass m connected to two ideal springs of spring constants k1 and k2 executes simple harmonic motion on a smooth horizontal surface (see the figure) now,

A
The period of oscillation of the block is 2πm(k1+k2)k1k2
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B
The period of oscillation of the block is 2πmk1+k2
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C
The frequency of the block is k1k2m(k1+k2)
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D
The frequency of the block is k1+k2m
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Solution

## The correct option is B The period of oscillation of the block is 2π√mk1+k2This is a parallel combination of two springs.

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