When a mica sheet of thickness 7 microns and μ=1.6 is placed in the...

When a mica sheet of thickness 7 microns and

\mu=1.6

is placed in the path of one of interfering beams in the biprism experiment then the central fringe gets at the position of seventh bright fringe. The wavelength of light used will be

Options

A $4000 \mathrm{ A}$
B $5000 \AA$
C $6000 \mathrm{ A}$
D $7000 \AA$

Correct answer

C. $6000 \mathrm{ A}$

Step-by-step solution

\lambda=\frac{(\mu-1) \mathrm{t}}{\mathrm{n}}

According to question

\mathrm{n}=7, \mu=1.6, \mathrm{t}=7 \times10^{-6} \mathrm{ meter}

From eqs. (1)

and (2), \lambda=6 \times 10^{-7}

meter

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