Q143 / 160 · TS EAMCET 2022 (20 Jul Shift 2) · Physics

If a Young's double slit experiment, if the distance between two slits is reduced by a factor of 2 and the wavelength of light is increased 4 times then the distance between two maxima will become _____ times the original value.

  • A
    2
  • B
    4
  • Correct answer
    C
    8
  • D
    16

Solution

$$ \begin{aligned} & \text { } \beta=- \\ & \Rightarrow \beta \propto \frac{\lambda}{\mathrm{d}} \\ & \Rightarrow \frac{\beta_1}{\beta_2}=\frac{\lambda_1}{\lambda_2} \times \frac{\mathrm{d}_2}{\mathrm{~d}_1}=\frac{1}{4} \times \frac{1}{2}=\frac{1}{8} \Rightarrow \beta_2=8 \beta_1 \end{aligned} $$

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

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