The angular resolution of a 10 ~cm diameter telescope at a wavelength of 5000 Å is of the order of:

Correct answer: D. 10^ -6 rad Here R · P .=(1)/(Δ θ) aligned & Angular resolution Δ θ= 1.22 λ D &= 1.22 × 5000 × 10^ -10 0.1 &=6.10 ×10^ -6 & 10^ -6 aligned

NEET 2005

Exam: NEET
Year: 2005
Subject: Physics
Chapter: Ray Optics

NEET 2005 · Physics · Ray Optics

The angular resolution of a 10 ~cm diameter telescope at a...

The angular resolution of a

10 \mathrm{~cm}

diameter telescope at a wavelength of

5000 Å

is of the order of:

Options

A $10^6 \mathrm{rad}$
B $10^{-2} \mathrm{rad}$
C $10^{-4} \mathrm{rad}$
D $10^{-6} \mathrm{rad}$

Correct answer

D. $10^{-6} \mathrm{rad}$

Step-by-step solution

Here

R \cdot P .=\frac{1}{\Delta \theta}

\begin{aligned}& \therefore \text{ Angular resolution } \Delta \theta=\frac{1.22 \lambda}{\mathrm{D}}\\ &=\frac{1.22 \times 5000 \times 10^{-10}}{0.1}\\ &=6.10 \times10^{-6} \\ & \cong 10^{-6} \end{aligned}

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