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Question

The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be

Options

A.T
B.
C.2T
D.√2T

Solution

A mass M is suspended from a massless spring of constant k as shown figure (a). Then
Time period of oscillation is T = 2π          .......(i)
When a another mass M is also suspended with it as shown in figure (b).
Then Time period of oscillation is
            
          T′ = 2π
          
           √2T                [using (i)]
          

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