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BITSAT 2011
Exam
BITSAT
Year
2011
Subject
Physics
Chapter
Wave Optics

BITSAT 2011 · Physics · Wave Optics

If the distance between the first maxima and fifth minima of a...

If the distance between the first maxima and fifth minima of a double slit pattern is 7mm7 \mathrm{ mm} and the slits are separated by 0.15mm0.15 \mathrm{ mm} with the screen 50 cm.\mathrm{cm}. from the slits, then the wavelength of the light used is:If the distance between the first maxima and fifth minima of a double slit pattern is 7 mm and the slits are separated

Options

  1. A200nm200 \mathrm{nm}
  2. B100nm100 \mathrm{nm}
  3. C800nm800 \mathrm{nm}
  4. D600nm600 \mathrm{nm}

Correct answer

D. 600nm600 \mathrm{nm}

Step-by-step solution

There are three and a half fringes from first maxima to fifth minima as shown. If the distance between the first maxima and fifth minima of a double slit pattern is 7 mm and the slits are separated
⇒β=7mm3.5=2mm⇒λ=βDd=600nm\Rightarrow \beta=\frac{7 \mathrm{ mm}}{3.5}=2 \mathrm{ mm} \Rightarrow \lambda=\frac{\beta \mathrm{D}}{\mathrm{d}}=600 \mathrm{nm}
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