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Q.

Two springs are connected to a block of mass M placed on a friction less surface as shown in fig. (1). If both the springs have a spring constant k, the frequency of oscillation of the block is

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a

12πkM

b

12πk2M

c

12π2kM

d

12πMk

answer is B.

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Detailed Solution

For spring block system, the time period of oscillation is given by T=2πMkeqwhere keq is equivalent spring constant of springs. Here 1keq=1k+1k=2k or keq=k2 T=2πM(k/2)=2π2Mk or n=1T=12πk2M

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