Optics Question 899

Question: (distance between slit and screen D = 12cm and distance between slits d = 5cm.) then the wavelength of the radiation used can be-

Options:

A) 3/4 cm

B) 4 cm, 5cm

C) 2/3 cm, 2/5 cm

D) 4/3 cm, 5/3 cm

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Answer:

Correct Answer: C

Solution:

[c] Path difference $ \sqrt{D^{2}+d^{2}}-D=1cm $ .

Also, $ [\sqrt{D^{2}+d^{2}}-D]=(2n-1)\frac{\lambda }{2}\Rightarrow \lambda =\frac{2(1)}{2n-1} $

For n= 1, 2, 3……………….. $ \lambda =2cm,\frac{2}{3}cm,\frac{2}{5}cm, $ …………….



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