CUET · PHYSICS · PYQ PAPER 2023
At what speed should a galaxy move with respect to earth so that spectral line of \( 600.0 \text{ nm} \) appears as \( 600.6 \text{ nm} \) ?
- A \( 3 \times 10^6 \text{ m s}^{-1} \)
- B \( 3 \times 10^5 \text{ m s}^{-1} \)
- C \( 5 \times 10^6 \text{ m s}^{-1} \)
- D \( 5 \times 10^5 \text{ m s}^{-1} \)
Answer & Solution
Correct Answer
(B) \( 3 \times 10^5 \text{ m s}^{-1} \)
Step-by-step Solution
Detailed explanation
\( v = c \frac{\Delta\lambda}{\lambda_0} = (3 \times 10^8 \text{ m s}^{-1}) \frac{600.6 \text{ nm} - 600.0 \text{ nm}}{600.0 \text{ nm}} = 3 \times 10^5 \text{ m s}^{-1} \)
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