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A mass m is suspended by means of two coiled springs which have the same length in unstretched condition fig.  Their force constants are k1 and k2
 

k1 and k2  respectively. When set into vertical vibrations, the period will be

a
2πmk1k2
b
2πmk1k2
c
2πmk1−k2
d
2πmk1+k2

detailed solution

Correct option is D

When the springs are connected in parallel, the spring constant  k=k1+k2 ∴ T=2πmk=2πmk1+k2

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Two springs of spring constants k1 and k2 are joined in series. The effective spring constant of the-combination is given by:


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