Dual Nature of Radiation and Matter - Result Question 56

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60. 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

======= ####60. 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

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/dual-nature-of-radiation-and-matter/dual-nature-of-radiation-and-matter—result-question-56.md (a) $10^{-17} J$

(b) $1 J$

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

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

[1998]

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Answer:

Correct Answer: 60. (d)

Solution:

$ \text{ (d) } \begin{aligned} & 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 \end{aligned} $