A) 0.5m
B) 5m
C) 5 mm
D) 5 cm
Correct Answer: C
Solution :
Resolving limit of telescope is \[\theta \propto \frac{x}{D}=\frac{\lambda }{d}\] \[\Rightarrow \] \[x=\frac{\lambda D}{d}\] Given, \[\lambda =5000\,\text{{ }\!\!\mathrm{\AA}\!\!\text{ }}\,\text{=}\,\text{5000}\times {{10}^{-10}}m,\] \[\text{D}=\text{1 km}=\text{1}000\text{m},\] \[d=10\,cm\,=0.1\,\,m,\] Hence, \[x=\frac{5000\times {{10}^{-10}}\times 1000}{0.1}\] \[=5\times {{10}^{-3}}m\] \[=5\,\,mm\]You need to login to perform this action.
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