Dual Nature Of Radiation And Matter Ques 56

56. The $21 $ $cm$ radio wave emitted by hydrogen in interstellar space is due to the interaction called the hyperfine interaction in atomic hydrogen. The energy of the emitted wave is nearly

[1998]

(a) $10^{-17} $ $J$

(b) $1 $ $J$

(c) $7 \times 10^{-8} $ $J$

(d) $10^{-24}$ $ J$

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Answer:

Correct Answer: 56.(d)

Solution:

  1. (d) $ E=h v=\frac{h c}{\lambda}=\frac{6.6 \times 10^{-34} \times 3 \times 10^{8}}{0.21} $

$=\frac{6.6}{7} \times 10^{-24}=0.94 \times 10^{-24} J$