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Questions  

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
 

a
12πkM
b
12πk2M
c
12π2kM
d
12πMk

detailed solution

Correct option is B

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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