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Calculate the separation of two points o...

Calculate the separation of two points on moon that can be resolve using `600 cm` telescope. Given distance of moon from earth `= 3.8 xx 10^(10) cm`. The wavelength most sensitive to eye is `5.5 xx 10^(-5) cm`.

Text Solution

Verified by Experts

The correct Answer is:
4180
Here,` x = ? D = 600 cm`
`lambda = 5.5 xx 10 ^(-5) cm`
Limit of resolution
`d theta = (1.22 lambda )/(D) = (1 . 22 xx 5.5 xx 10 ^(-5))/( 600) = 1.1 xx 10 ^(-7) ` rad If x is separation of two points on the moon that can be resolved and d is distance of moon from
Objective of telescope, then ` d theta = (x)/( d)`
` x = (d theta) d = 1 . 1 xx 10 ^(-7) xx 3.8 xx 10 ^(10) cm`
=4180 cm
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