Question:
If $I_0$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be the intensity when the slit width is doubled?
If $I_0$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be the intensity when the slit width is doubled?
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Physics Tip : Doubling the slit width makes the central maximum twice as narrow and more concentrated, but its peak height (intensity) remains constant.
Updated On: Apr 23, 2026
- $\frac{I_{0}}{2}$
- $I_{0}$
- $4I_{0}$
- $2I_{0}$
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The Correct Option is B
Solution and Explanation
Concept:
Physics (Optics) - Intensity in Single Slit Diffraction.
Step 1: Understand the factors affecting principal maximum intensity. In a single-slit diffraction pattern, the intensity $I_0$ of the central (principal) maximum depends on the amplitude of the incident wave and the coherent addition of wavelets from the slit.
Step 2: Analyze the effect of slit width. While changing the slit width significantly alters the width of the diffraction pattern (wider slits result in narrower patterns), it does not change the maximum intensity of the principal peak itself.
Step 3: Conclusion. Since the intensity of the principal maximum is independent of the slit width, doubling the width leaves the intensity unchanged. $$ \therefore \text{The intensity remains } I_{0}. $$
Step 1: Understand the factors affecting principal maximum intensity. In a single-slit diffraction pattern, the intensity $I_0$ of the central (principal) maximum depends on the amplitude of the incident wave and the coherent addition of wavelets from the slit.
Step 2: Analyze the effect of slit width. While changing the slit width significantly alters the width of the diffraction pattern (wider slits result in narrower patterns), it does not change the maximum intensity of the principal peak itself.
Step 3: Conclusion. Since the intensity of the principal maximum is independent of the slit width, doubling the width leaves the intensity unchanged. $$ \therefore \text{The intensity remains } I_{0}. $$
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