The focal length of the objective and eye piece of a telescope are respectively `100 cm and 2 cm`. The moon subtends and angle of `0.5^@`, the angle subtended by the moon's image will be.

Options

A. `100^(@)`
B. `50^(@)`
C. `25^(@)`
D. `10^(@)`

Answer

C

Explanation

m ` = (beta)/(alpha) = (f_(o))/(f_(e))`
`rArr beta = ((100)/(2)) xx 0.5^(@) = 25^(@)` .