1.

A particle of mass m is executing oscillations about the origin on the x-axis. Its potential energy is \[U(x)=k{{[x]}^{3}}\], where k is a positive constant. If the amplitude of oscillation is a, then its time period T is                                              [IIT-JEE 1998]

A.            Proportional to \[\frac{1}{\sqrt{a}}\]                            
B.            Independent of a
C.            Proportional to \[\sqrt{a}\]   
D.            Proportional to \[{{a}^{3/2}}\]
Answer» B.            Independent of a


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