Question

The resolving power of telescope of aperture 100 cm for light of wavelength 5.5 x 10^-7 m is _______________.

Options

• 0.149 x 10⁷

• 1.49 x 10⁷

• 14.9 x 10⁷

• 149 x 10⁷ 

Answer 1

The resolving power of telescope of aperture 100 cm for light of wavelength 5.5 x 10^-7 m is 0.149 x 10⁷.

Aperture(diameter) of telescope D = 100cm = 1m
Wavelength of light λ = 5.5 x 10^-7 m
Resolving power of telescope RP = `D/[1.22λ]`
⇒ RP = `1/[ 1.22 xx 5.5 xx 10^-7] = 0.149 xx 10^7`