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Questions  

A weightless spring which has a force constant fr oscillates with frequency f when a mass m is suspended from it. The spring is cut into two halves and a mass 2 m is  suspended from one of the halves. The frequency of oscillation will now be:

a
f
b
2f
c
f/212
d
f×212

detailed solution

Correct option is A

Spring constant of each halves = 2 kf'=2π2k2m=2πkm=f

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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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