Question

The values of Planck's constant is 6.63 x 10^-34Js. The
velocity of light is 3.0 x 10^8 ms-1. Which value is closest to
the wavelength in nanometres of a quantum of light with
frequency of 8 x 10^15/s?​

Answer 1

Solution:-

As we know that,

ν=

λ

c

⇒λ=

ν

c

where,

λ = wavelength of a quantum of light = ?

ν = frequency of a quantum of light = 8×10

15

s

−1

c = speed of light = 3×10

8

m/s

∴λ=

8×10

15

3×10

8

=0.375×10

−7

m=3.75×10

1

nm(∵1m=10

9

nm)

Hence, 4×10

1

will be the closest value to the wavelength (in nm) of a quantum of light with frequency 8×10

15

s

−1.

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