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The resolving power of an astronomical telescope with 1.5 m diameter objective for a wavelength 5500 Ao is R. What will be the resolving power of an astronomical telescope having objective of diameter 2 m for wavelength 4500 Ao ?

a
15R8
b
9R7
c
38R27
d
44R27

detailed solution

Correct option is D

Resolving power R=D1.22 λ∴R'R=λλ'D'D=55004500 x 21.5⇒R'=44R27

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