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A particle is oscillating about x=0 along x-axis. The potential energy is given by U=k|x|3 where k is a positive constant. What is the time period of the oscillations of the particle?
Hi, U asked about time period os the osccilation corresponding above Eqn but , hre this in not the case similiar to SHM , here time period depends on Amplitude HOW? if u compare the dimensions of both side then, the dimension of k = [ML-2T-2] T proportional to (mass)x(amplitude)y(k)z RHS = [M]x[L]y [ML-2T-2]z LHS =[T] => x= 1/2 , y = z = -1/2 hence the time period depends over 1/sqrt(k) this was good qn , we welcome all ur qns nd eager to asnweer them. GOOD LUCK FOR UR PREPARATION
Hi,
U asked about time period os the osccilation corresponding above Eqn
but , hre this in not the case similiar to SHM , here time period depends on Amplitude
HOW?
if u compare the dimensions of both side then, the dimension of k = [ML-2T-2]
T proportional to (mass)x(amplitude)y(k)z
RHS = [M]x[L]y [ML-2T-2]z
LHS =[T]
=> x= 1/2 , y = z = -1/2
hence the time period depends over 1/sqrt(k)
this was good qn , we welcome all ur qns nd eager to asnweer them.
GOOD LUCK FOR UR PREPARATION
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