Question

Answer (Detailed Solution Below)

Option 1 : $2.5 \times 10^{-3}\ \text{rad}$ / $2.5 \times 10^{-3}\ \text{rad}$

Detailed Solution

सही उत्तर $2.5 \times 10^{-3}\ \text{rad}$ / $2.5 \times 10^{-3}\ \text{rad}$ है।

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prepsnap.in • Part -A

Question:

Light of wavelength $500\ \text{nm}$ falls on a single slit of width $0.2\ \text{mm}$. The angular position of the first minimum is approximately / $500\ \text{nm}$ तरंगदैर्घ्य का प्रकाश $0.2\ \text{mm}$ चौड़ाई की एकल रेखाछिद्र पर आपतित है। प्रथम निम्निष्ठ की कोणीय स्थिति लगभग है

$2.5 \times 10^{-3}\ \text{rad}$ / $2.5 \times 10^{-3}\ \text{rad}$

$5.0 \times 10^{-3}\ \text{rad}$ / $5.0 \times 10^{-3}\ \text{rad}$

$1.25 \times 10^{-3}\ \text{rad}$ / $1.25 \times 10^{-3}\ \text{rad}$

$2.5 \times 10^{-2}\ \text{rad}$ / $2.5 \times 10^{-2}\ \text{rad}$

Correct Answer: $2.5 \times 10^{-3}\ \text{rad}$ / $2.5 \times 10^{-3}\ \text{rad}$

From $a\sin\theta = \lambda$, $\theta \approx \lambda/a = 500 \times 10^{-9}/(2 \times 10^{-4}) = 2.5 \times 10^{-3}\ \text{rad}$. / $a\sin\theta = \lambda$ से $\theta \approx \lambda/a = 500 \times 10^{-9}/(2 \times 10^{-4}) = 2.5 \times 10^{-3}\ \text{rad}$।

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