A) \[M\,\,n\,{{R}^{2}}\,{{t}^{2}}\]
B) \[\frac{1}{2}M{{n}^{2}}{{R}^{2}}{{t}^{2}}\]
C) \[M\,{{n}^{2}}{{R}^{2}}t\]
D) \[M\,n\,{{R}^{2}}\,t\]
Correct Answer: C
Solution :
| [c] \[\frac{{{V}^{2}}}{R}={{n}^{2}}R{{t}^{2}}\] |
| \[\Rightarrow {{V}^{2}}={{n}^{2}}{{R}^{2}}{{t}^{2}}\] |
| \[\Rightarrow V=nRt\] |
| \[\Rightarrow \frac{dV}{dt}=nR\] |
| \[P={{F}_{t}}V\] |
| \[m=\frac{mdV}{dt}V\] |
| \[=mnR.\,nRt\] |
| \[P={{n}^{2}}{{R}^{2}}t\,m\] |
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