Machine-translated by Google. Questions are authored in English.
Top

Discussion

Consider two slits are made 3 mm apart and a screen is placed 1.5 m away. When the blue-green light of wavelength 500 nm is incident on the slits, the fringe width observed on the screen is:

  • A.0.25 cm
  • B.0.25 m
  • C.0.25 mm
  • D.2.5 cm

Answer: C

The fringe width in Young's experiment is \(\beta = \lambda D / d\).


\[ \begin{aligned} \beta \\ &= \frac{500 \times 10^{-9} \times 1.5}{3 \times 10^{-3}} \\ &= 2.5 \times 10^{-4}\ \text{m} = 0.25\ \text{mm} \end{aligned} \]


The slit separation of 3 mm must be converted to metres and the wavelength of 500 nm to \(5 \times 10^{-7}\) m. The values 0.25 cm and 2.5 cm are ten and a hundred times too large, and 0.25 m is a thousand times too large, which would come from mixing up millimetres and metres. The answer is 0.25 mm, option C.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.