A spring is connected to a mass m suspended from it and its time period for vertical oscillation is T. spring is now cut into two equal halved and the same mass is suspended fron one of the havles. The period of vertical oscillation is :

A spring is connected to a mass m suspended from it and its time perio

1.	A spring is connected to a mass m suspended from it and its time period for vertical oscillation is T. spring is now cut into two equal halved and the same mass is suspended fron one of the havles. The period of vertical oscillation is :
Answer» `T'=sqrt(2)T` `T'=(T)/(sqrt(2))` `T'=sqrt(2T)` `T'=sqrt((T)/(2))` Solution :Spring constant of spring depends UPON number of COIL in the spring. When you CUT the spring then the number of coil remain HALF of the original, so `k.=2k` Time PERIOD of the spring, `T=2pisqrt((m)/(k))` If the spring is halves, So the time period `T.=2pisqrt((m)/(k.))=2pisqrt((m)/(2k))` `T.=(1)/(sqrt(2))xx2pisqrt((m)/(k))impliesT.=(T)/(sqrt(2))`