A) \[\frac{V}{T}t\]
B) \[\frac{{{V}^{2}}}{T}{{t}^{2}}\]
C) \[\frac{{{V}^{2}}}{{{T}^{2}}}t\]
D) \[\frac{{{V}^{2}}}{{{T}^{2}}}{{t}^{2}}\]
Correct Answer: D
Solution :
[d] Work done on the body is gain in the kinetic energy. Acceleration of the body is\[a=V/T\]. Velocity acquired in time t is \[\operatorname{v}=at =\frac{V}{T}t\] K.E. acquired\[\propto {{v}^{2}}\]. That is work done\[\propto \frac{{{V}^{2}}{{t}^{2}}}{{{T}^{2}}}\]
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