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Q.

The value of Planck’s constant is 6.63 × 10-34J −s. The speed of light is 3 × 1017 ms−1. Which

            is closest to the wavelength in nanometer of a quantum of light with frequency of a quantum

            of light with frequency of 6 × 1015s−1?

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a

10

b

25

c

50

d

75

answer is C.

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Detailed Solution

Given, Planck’s constant, h = 6.63 × 10-34 JsSpeed of light, c = 3 × 1017 nm s−1

 Frequency of quantum light v = 6 × 1015s−1

Wavelength, λ = ?

We know that, v = cλ

or λ = cv =3 × 10176 × 1015

= 0.5 × 102 nm = 50nm

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