A star is emitting light at the wavelength of 4000Å. Determine the limit of angular resolution of a telescope having an objective of diameter of 400 cm.

Q.10 A star is emitting light at the wavelength of 4000Å. Determine the limit of angular resolution of a telescope having an objective of diameter of 400 cm.

Doubtly Asked 28 Oct 2026 Board exam · June 2026 hsc 12th Save WhatsApp Report

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Answer: \(\theta=1.22\times10^{-7}\) rad

Given \(\lambda=4000\) Å \(=4\times10^{-7}\) m, \(D=400\) cm \(=4\) m.

Limit of resolution of a telescope: \(\theta=\dfrac{1.22\lambda}{D}=\dfrac{1.22\times4\times10^{-7}}{4}=1.22\times10^{-7}\) rad.

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report

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A star is emitting light at the wavelength of 4000Å. Determine the limit of angular resolution of a telescope having an objective of diameter of 400 cm.

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