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Q.

If an object subtends angle of $2^{0}$ at eye when seen through telescope having objective and eyepiece of focal length $f_{o} = 60 c m$ and $f_{e} = 5 c m$ respectively then angle subtended by image at eye piece in far point adjustment will be

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a

$16^{0}$

b

$50^{0}$

c

$24^{0}$

d

$10^{0}$

answer is C.

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Detailed Solution

$\frac{β}{α} = \frac{f_{o}}{f_{e}} \Rightarrow \frac{β}{2^{o}} = \frac{60}{5} \Rightarrow β = 24 °$

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If an object subtends angle of 20 at eye when seen through telescope having objective and eyepiece of focal length fo=60 cm and fe=5 cm respectively then angle subtended by image at eye piece in far point adjustment will be