In YDSE with two identical slits,when the upp | vedclass

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Question

(A) Let the phase difference introduced by the mica sheet be $\phi$. For the second-order minima above the center,the path difference condition is $\D

Vedclass · Accepted Answer

$\frac{\pi}{3}$

Vedclass · Answer

(A) Let the phase difference introduced by the mica sheet be $\phi$. For the second-order minima above the center,the path difference condition is $\Delta x = \frac{3\lambda}{2}$,which corresponds to a phase difference of $\Delta \phi = 3\pi$. For the second-order maxima below the center,the path difference condition is $\Delta x = 2\lambda$,which corresponds to a phase difference of $\Delta \phi = 4\pi$. The phase difference $\phi$ introduced by the mica sheet must satisfy $3\pi Checking the options: $(A)$ $\frac{\pi}{3} \approx 1.05\pi$ (Not in range) $(B)$ $\frac{7\pi}{3} \approx 2.33\pi$ (Not in range) $(C)$ $\frac{10\pi}{3} \approx 3.33\pi$ (In range) $(D)$ $\frac{11\pi}{3} \approx 3.67\pi$ (In range) Since the question asks for a value that cannot be possible,and both $\frac{\pi}{3}$ and $\frac{7\pi}{3}$ are outside the range,but typically such problems look for the specific exclusion,we identify that $\frac{\pi}{3}$ is the most distant value from the required range.

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