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 wavele

Question

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

TestHub · Accepted Answer

The resolving power of a microscope is given by the following formula

$R = \frac{2 μ \sin θ}{1.22 λ}$

Where, $μ =$ refractive index

$λ =$ the wavelength of the light

$∴ R \propto \frac{1}{λ}$

$\frac{R_{2}}{R_{1}} = \frac{λ_{1}}{λ_{2}} = \frac{6000 Å}{4000 Å}$

$R_{2} = \frac{3}{2} \times R_{1} = \frac{3}{2} \times 10^{4}$

$= 15 \times 10^{3}$

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