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Question

Physics Question on Optical Instruments

The focal length of converging lens is measured for violet, green and red colours. It is respectively fv,fg,frf_v , f_g, f_r We will get

A

fv<frf_v < f_r

B

fg>frf_g> f_r

C

fv=fgf_v = f_g

D

fg>frf_g > f_r

Answer

fv<frf_v < f_r

Explanation

Solution

1f=(μ1)(1R11f2)\frac{1}{f} = (\mu -1) \bigg( \frac{1}{R_1} - \frac{1}{f_2 } \bigg) Since the refractive index of violet colour (μv)({\mu}_v) is greater than the refractive index of red colour,(μr)({\mu}_r) therefore focal length of violet colour is less than the focal length of red colour or in other words , fv<frf_v < f_r