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Q.

The value of Planck’s constant is ${6.63 × 10}^{-34} J - s$ . The speed of light is $3 \times 10^{17} {ms}^{- 1}$ . Which
is closest to the wavelength in nanometer of a quantum of light with frequency of a quantum
of light with frequency of $6 \times 10^{15} s^{- 1}$ ?

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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, ${h = 6.63 × 10}^{-34} Js$ Speed of light, $c = 3 \times 10^{17} {nm s}^{- 1}$

Frequency of quantum light $v = 6 \times 10^{15} s^{- 1}$

Wavelength, $λ = ?$

We know that, $v = \frac{c}{λ}$

$or λ = \frac{c}{v} = \frac{{3 × 10}^{17}}{{6 × 10}^{15}}$

${= 0.5 × 10}^{2} nm = 50nm$

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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?