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]

Proportional to \[\frac{1}{\sqrt{a}}\]

\[\frac{{{P}_{1}}{{\left( \frac{{{V}_{0}}}{2} \right)}^{\gamma }}}{{{\left( \frac{{{V}_{0}}}{2}+Ax \right)}^{\gamma }}}\]

Proportional to \[{{a}^{3/2}}\]

A particle of mass m is executing oscillations about the origin on the

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.	\[\frac{{{P}_{1}}{{\left( \frac{{{V}_{0}}}{2} \right)}^{\gamma }}}{{{\left( \frac{{{V}_{0}}}{2}+Ax \right)}^{\gamma }}}\]
D.	Proportional to \[{{a}^{3/2}}\]
Answer» B. Independent of a

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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]

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