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, \[\lambda =5000\overset{o}{\mathop{\text{A}}}\,=5000\times {{10}^{-10}}m,\] \[D=1\text{ }km=1000m,\] \[d=10\text{ }cm=0.1\text{ }m\] Hence, \[x=\frac{5000\times {{10}^{-10}}\times 1000}{0.1}\] \[=5\times {{10}^{-3}}m\] \[=5\text{ }mm\]
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