Wave OpticsMedium
Question
A telescope with objective diameter R is used to observe a distant star emitting light of wavelength 500 nm , at a resolution of $5 \times 10^{- 7}$ radian. The value of $R$ is $\_\_\_\_$ cm .
Options
A.61
B.122
C.244
D.305
Solution
Sol. [Key Concept: Angular resolution $\theta = \frac{1.22\lambda}{R}$; solve for the aperture $R$.]
$\theta = 5 \times 10^{- 7}$ radian
$${\lambda = 500 \times 10^{- 9}\text{ }m }{\theta = \frac{1.22\lambda}{R} }{R = \frac{1.22\lambda}{\theta} = 1.22\text{ }m = 122\text{ }cm }$$
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