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The objective of telescope has diameter 12 cm. The distance at which two small green object placed 30 cm apart can be barely resolved by telescope, assuming the resolution to be limited by diffraction by objective only `(lamda=5.4xx10^(-5)cm)`

A

54.6 km

B

57.0 km

C

546 km

D

52.4 km

Text Solution

Verified by Experts

The correct Answer is:
A
`(1.22)/(d)=theta`
`(1.22xx5.4xx10^(-5))/(12)=(30)/(x)`
`x=54.645km`
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