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GUJCET · Physics · Wave Optics
In Young's double slit experiment, if the distance between two slits is equal to the wavelength of used light. Then the maximum number of bright fringes obtain on the screen will be __________ .
- A infinite
- B 3
- C 7
- D 5
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
(B) 3
for bright fringes,
\(
\begin{aligned}
d \quad \sin \theta & =n \lambda \\
\lambda \quad \sin \theta & =n \lambda \quad(\because d=\lambda) \\
\sin \theta & =n \\
\text { but, } \sin \theta & \leq 1 \\
\therefore n & \leq 1
\end{aligned}
\)
Possible values of \(n=-1,0,1\)
Total three bright fringes obtain.
for bright fringes,
\(
\begin{aligned}
d \quad \sin \theta & =n \lambda \\
\lambda \quad \sin \theta & =n \lambda \quad(\because d=\lambda) \\
\sin \theta & =n \\
\text { but, } \sin \theta & \leq 1 \\
\therefore n & \leq 1
\end{aligned}
\)
Possible values of \(n=-1,0,1\)
Total three bright fringes obtain.
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