Young's Double Slit Experiment: Practice Problem & Solution
Assertion (A): If in YDSE, wavelength of light used is increased, angular width remain unchanged only linear width of fringes increases. Reason (R): Only linear fringe width proportional to wavelength and angular fringe width does not depends on wavelength.
Solution Explained:
To solve this problem, we apply the core principles of Young's Double Slit Experiment. Understanding the underlying formula is key to arriving at the correct answer below:
In YDSE, angular fringe width is \(\beta_\theta = \frac{\lambda}{\text{d}}\) and linear fringe width is \(\beta = \frac{\lambda \text{D}}{\text{d}}\). Both are directly proportional to the wavelength \(lambda\). Thus, Assertion (A) is false as angular width also changes. Reason (R) is false as angular width does depend on wavelength.
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