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[Solved] The number of photons of light having wave number 'x' in 10 J of energy source is: (a) 10hcx (b) hc/10x (c) 10/hcx (d) None of these

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The number of photons of light having wave number 'x' in 10 J of energy source is:

(a) 10hcx

(b) hc/10x

(c) 10/hcx

(d) None of these

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Correct answer: (c) \(\frac{10}{hcx}\)

Explanation:

E = \(\frac{nhc}{\lambda}\)

= nhc\(\bar{v}\)(∵ \(\bar{v}\) = \(\frac{1}{\lambda}\))

∴ 10 = nhc\(\bar{v}\)

or n = \(\frac{10}{hc \bar{v}}\)

= \(\frac{10}{hcx}\)

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