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Question

The least resolvable angle by a telescope using an objective of aperture 5m is nearly (λ=4000Å)


A

150°

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B

(1/50)minutes

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C

(1/50)sec

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D

(1/500)sec

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Solution

The correct option is C

(1/50)sec


Step 1: Given Data

The objective aperture is d is 5m

Wavelength is λ=4000Å

Step 2: Formula used,

θmin=1.22λd

Where λ is the wavelength

d is the objective aperture

Step 3: Calculation

θmin=1.22(4000×10-10)5

θmin=800x1.22x10-10rad

now we have to convert radians into degrees

1rad=180πdeg

θmin=800x1.22x10-10×180πdeg

1°=60min=360sec

θmin=800x1.22x10-10×180π×360sec

θmin=150sec

Hence, the correct answer is option C


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