A) \[\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\]
B) \[\sqrt{\frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{2}}}}\]
C) \[\sqrt{\frac{{{m}_{2}}}{{{m}_{1}}}}\]
D) \[\sqrt{\frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}}}\]
Correct Answer: B
Solution :
| [b] \[{{T}_{1}}={{m}_{2}}g\] |
| \[{{T}_{2}}=({{m}_{1}}+{{m}_{2}})g\] |
| \[\text{Velocity}\,\,\propto \sqrt{T}\] |
| \[\lambda \propto \sqrt{T}\] |
| \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{\sqrt{{{T}_{1}}}}{\sqrt{{{T}_{2}}}}\] |
| \[\Rightarrow \] \[\frac{{{\lambda }_{2}}}{{{\lambda }_{1}}}=\sqrt{\frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{2}}}}\] |
You need to login to perform this action.
You will be redirected in
3 sec
