A simple telescope, consisting of an objective of focal length `60 cm` and a single eye lens of focal length `5 cm` is focussed on a distant object is such a way that parallel rays comes out from the eye lens. If the object subtends an angle `2^(@)` at the objective, the angular width of the image.

Options

A. `10^(@)`
B. `24^(@)`
C. `50^(@)`
D. `1//6^(@)`

Answer

B

Explanation

Magnification (m) = `(f_(o))/(f_(e))`
and m = `(beta)/(alpha) = ("Angle subtended by the image")/("Angle subtended by the object") `
`rArr beta = (f_(o) xx d)/( f_(e)) = (60 xx 2^(@))/(5) = 24^(@)`.