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Q.

A frictionless inclined surface having inclination 300 has a 2.5 kg mass held by a spring which is fixed at the upper end. If the mass is taken 2.5 cm up along the surface, tension in the spring reduces to zero. On releasing the mass now, its angular frequency of oscillations will be:

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a

9

b

14

c

2

d

5

answer is B.

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Detailed Solution

In equilibrium, Mg sin 30o=kx⇒             k=Mg son 30ox                  k=2.5×9.8×122.5×10-2=4.9×102 N/m                  ω=km=4.9×1022.5=14
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