Two identical springs are attached to a small  block P. The other ends of the springs are  fixed at A and B. When P is in equilibrium  the extension of top spring is 20 cm and  extension of bottom spring is 10 cm. The   period of small vertical oscillations of P  about its equilibrium position is (use g = 
9.8 m/ s 2 )





a .   2 π 7   s e c b . π 7   s e c c . 2 π 5 s e c d . n o n e   o f   t h e s e
Two identical springs are attached to a small  block P. The other ends of the springs are  fixed at A and B. When P is in equilibrium  the extension of top spring is 20 cm and  extension of bottom spring is 10 cm. The   period of small vertical oscillations of P  about its equilibrium position is (use g = 
9.8 m/ s2)





a. 2π7 secb.π7 secc.2π5secd.none of these


Dear Student , 

If we displace the mass in any direction, the other spring will pull it back due to restoring force. The force if F=-kxon the other hand F=mf from newtons second law therefore  mf=-kx                       f=-kmxthis is a representation of SHM where acceleration is proportional to the displacement.and the frequency ω=kmif period of oscillation is Tthen ω=2πT=km               T= 2πkm
Regards

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