Question

In Young's double slit experiment 10th order maximum is obtained at the point of observation in the interference pattern for \( \lambda = 7000 \, \text{Å} \). If the source is replaced by another one of wavelength 5000 Å then the order of maximum at the same point will be –

• A. 12th
• B. 14th
• C. 16th
• D. 18th

Hint:

In Young's double slit experiment, the order of maxima is inversely proportional to the wavelength.

Answer 1

The Correct Option is B

Step 1: Use the formula for the fringe pattern.
The fringe pattern for Young’s double slit experiment is given by \( d \sin \theta = n \lambda \), where \( d \) is the distance between the slits, \( \lambda \) is the wavelength, and \( n \) is the order of the maximum.
Step 2: Calculate the new order of the maximum.
Since the wavelength decreases, the order of the maximum increases proportionally, leading to the 14th order maximum for \( \lambda = 5000 \, \text{Å} \). Final Answer: \[ \boxed{14th} \]