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Two springs are connected to a block of mass M placed on a frictionless surface as shown below. If both the springs have a spring constant k, the frequency of oscillation of block is

 

a
12πk2M
b
12πkM
c
12π2kM
d
12πMk

detailed solution

Correct option is A

As springs are connected in series, effective force constant1keff = 1k+1k = 2k   ⇒ keff = k2Hence, frequency of oscillation isn = 12πkeffm = 12πk2M

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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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