The radius of the Moon is 1737 x 106 m and the distance from
The radius of the Moon is 1.737 x 106 m, and the distance from the Earth to the Moon is 3.845 × 108 m.
Solution
Here ,
angular magnification for telescope , m = - fo/fe
fo = 66 cm
fe = 2.9 cm
r = 1.737 *10^6 m
d = 3.845 *10^8 m
angle of moon on normal eye , theta1 = arctan(2 * 1.737 *10^6/(3.845 *10^8))
theta1 = 0.00903 rad
Now , for the angular size of moon through telescope ,theta2
theta2/theta1 = angular magnification
theta2/(0.00903) = 66/2.9
theta2 = 0.206 radian
the angular size of moon produced by telescope is 0.206 radian
