Question:
This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement-1: In Young's double slit experiment, the number of fringes observed in the field of view is small with longer wavelength of light and is large with shorter wavelength of light.
Statement-2: In the double slit experiment the fringe width depends directly on the wavelength of light.
This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement-1: In Young's double slit experiment, the number of fringes observed in the field of view is small with longer wavelength of light and is large with shorter wavelength of light.
Statement-2: In the double slit experiment the fringe width depends directly on the wavelength of light.
Statement-1: In Young's double slit experiment, the number of fringes observed in the field of view is small with longer wavelength of light and is large with shorter wavelength of light.
Statement-2: In the double slit experiment the fringe width depends directly on the wavelength of light.
Show Hint
Number of fringes in a fixed field of view = (width of field)/(fringe width), and \(\beta = \frac{\lambda D}{d}\).
Updated On: Oct 31, 2026
- Statement-1 is true, Statement-2 is true and the Statement-2 is correct explanation of the Statement-1.
- Statement-1 is false and the Statement-2 is true.
- Statement-1 is true Statement-2 is true and the Statement-2 is not correct explanation of the Statement-1.
- Statement-1 is true and the Statement-2 is false.
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The Correct Option is A
Solution and Explanation
Fringe width: \(\beta = \frac{\lambda D}{d}\), so \(\beta \propto \lambda\). Statement-2 is true.
For a fixed field of view of width \(W\), number of fringes \(N = \frac{W}{\beta} \propto \frac{1}{\lambda}\).
Longer \(\lambda\) gives larger \(\beta\) and hence fewer fringes; shorter \(\lambda\) gives more fringes. Statement-1 is true.
Statement-1 follows directly from the dependence stated in Statement-2, so Statement-2 correctly explains Statement-1.
Answer: (1) Statement-1 is true, Statement-2 is true and the Statement-2 is correct explanation of the Statement-1.
For a fixed field of view of width \(W\), number of fringes \(N = \frac{W}{\beta} \propto \frac{1}{\lambda}\).
Longer \(\lambda\) gives larger \(\beta\) and hence fewer fringes; shorter \(\lambda\) gives more fringes. Statement-1 is true.
Statement-1 follows directly from the dependence stated in Statement-2, so Statement-2 correctly explains Statement-1.
Answer: (1) Statement-1 is true, Statement-2 is true and the Statement-2 is correct explanation of the Statement-1.
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