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Q.

 In arrangement given in fig. (8), if the block of mass m is displaced, the frequency is given by 
 

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a

n=12πmk1+k2

b

n=12πk1+k2m

c

n=12πmk1k2

d

n=12πk1k2m

answer is B.

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Detailed Solution

Let the extension in spring A is x, then the compression in string B will also be x. The restoring force on mass is a force given by .k, x. This force acts towards left' Again a force k2, x pushes the mass to the left due to compression of spring B. The net restoring force acting on the mass is k1+k2x
 force constant =k1+k2 Now T=2πmk1+k2  Frequency n=1T=12πk1+k2m

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 In arrangement given in fig. (8), if the block of mass m is displaced, the frequency is given by