Q130 / 180 · JIPMER 2019 · Physics

In YDSE angular fringe width is $0.1^{\prime}$ wavelength of light used is $6000 Å$. Find the distance between two slits.

  • A
    $2 \mu \mathrm{m}$
  • B
    $3 \mu \mathrm{m}$
  • C
    $5 \mu \mathrm{m}$
  • Correct answer
    D
    $6 \mu \mathrm{m}$

Solution

In YDSE, angular fringe width $\theta=0.1$ and wavelength of light, $\lambda=6000 Å=6 \times 10^{-7} \mathrm{~m}$ If ' $d$ ' be the distance between slits then, $\theta=\frac{\lambda}{d}$ $\Rightarrow \quad \mathrm{d}=\frac{\lambda}{\theta}=\frac{6 \times 10^{-7}}{0.1}=6 \times 10^{-6}=6 \mu \mathrm{m}$

Hence, the correct answer is option: 'D'.

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