KCET · Physics · Waves and Sound
Due to Doppler's effect the shift in wavelength observed is \( 0.1 Å \) for a star producing wavelength \( 6000 Å \). Velocity of recession of the star will be
- A \( 5 \mathrm{~km} / \mathrm{s} \)
- B \( 25 \mathrm{~km} / \mathrm{s} \)
- C \( 20 \mathrm{~km} / \mathrm{s} \)
- D \( 10 \mathrm{~km} / \mathrm{s} \)
Answer & Solution
Correct Answer
(A) \( 5 \mathrm{~km} / \mathrm{s} \)
Step-by-step Solution
Detailed explanation
(A)
The formula for Doppler shift
\(v=\frac{\Delta \lambda}{\lambda} c=\frac{0.1}{6000} \times 3 \times 10^{8}=0.5 \times 10^{4}=5 \mathrm{~km} \mathrm{~s}^{-1}\)
The formula for Doppler shift
\(v=\frac{\Delta \lambda}{\lambda} c=\frac{0.1}{6000} \times 3 \times 10^{8}=0.5 \times 10^{4}=5 \mathrm{~km} \mathrm{~s}^{-1}\)
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