Young's double slit: fringe width β = λD/d. If d doubled, β becomes: MCQ with Answer and Explanation

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Young's double slit: fringe width β = λD/d. If d doubled, β becomes:

A. Four times

B. Double

C. Half

D. Same

Answer: Option C

Solution (By JKSSB Mock Tests)

β ∝ 1/d. If d' = 2d, β' = β/2. Fringe width decreases with increased slit separation. Memory aid: 'β ∝ 1/d; wider slit separation ⇒ narrower fringes'. Wave optics proportionality frequently tested in competitive exams.

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Potential energy of a body at a height h is 100 J. If height is doubled, the potential energy becomes

A. 400 J

B. 50 J

C. 100 J

D. 200 J

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Correct Answer: Option D

Explanation:
PE = mgh, so directly proportional to height h. If h becomes 2h, PE becomes 2 × 100 = 200 J, assuming g constant. For large heights, g varies, but basic assumption. Thus 200 J.

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