When an object is viewed with a light of wavelength 6000 Å under a microscope, its resolving power is 10 4 . The resolving power of the microscope when the same object is viewed with a light of wavelength 4000 Å , is n × 10 3 . The value of n is

Step-by-step solution

The resolving power of a microscope is given by the following formula R = 2   μ sin ⁡ θ 1.22   λ Where, μ = refractive index λ =   the wavelength of the light ∴     R ∝ 1 λ R 2 R 1 = λ 1 λ 2   = 6000 Å 4000 Å R 2 = 3 2 × R 1 = 3 2 × 10 4 = 15 × 10 3