Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 3 : $0.30$ / $0.30$

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Detailed Solution

सही उत्तर $0.30$ / $0.30$ है।

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Question:

A transmission grating has $5000$ lines per cm. For $\lambda = 600\ \text{nm}$, the value of $\sin\theta$ for the first-order maximum is / एक पारगमन ग्रेटिंग में प्रति सेमी $5000$ रेखाएँ हैं। $\lambda = 600\ \text{nm}$ के लिए प्रथम कोटि उच्चिष्ठ हेतु $\sin\theta$ का मान है

1.
$0.60$ / $0.60$
2.
$0.15$ / $0.15$
3.
$0.30$ / $0.30$
4.
$1.20$ / $1.20$

Correct Answer: $0.30$ / $0.30$

Grating spacing $d = 1/500000 = 2 \times 10^{-6}\ \text{m}$; from $d\sin\theta = \lambda$, $\sin\theta = 600 \times 10^{-9}/(2 \times 10^{-6}) = 0.30$. / ग्रेटिंग अंतराल $d = 1/500000 = 2 \times 10^{-6}\ \text{m}$; $d\sin\theta = \lambda$ से $\sin\theta = 600 \times 10^{-9}/(2 \times 10^{-6}) = 0.30$।

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