Question

The value of Planck's constant is 6.63 x 10-34 Js.
The velocity of light is 3 * 108 m/s. Which value
is closest to the wavelength of a quantum of light
with frequency of 8 x 1015 s-1?
(1) 5 x 10-18 m (2) 4 * 10-m
(3) 3 x 107 m
(4) 2 x 10-25 m
​

Answer 1

the ans is b.......hope this helps u

Answer 2

4 × 10 nm is value is most closely related to the wavelength of an 8 x 10¹⁵ s⁻¹ frequency light quantum.

Given that,

Planck's constant has a value of 6.63 x 10⁻³⁴ Js when light travels at a speed of 3 × 10⁸ ms⁻¹

We have to find which value is most closely related to the wavelength of an 8 x 10¹⁵ s⁻¹ frequency light quantum.

We know that,

v = $\frac{c}{\lambda}$

λ = $\frac{c}{v}$

where,

λ is wavelength of a quantum of light

ν = frequency of a quantum of light = 8 x 10¹⁵ s⁻¹

c = speed of light = 3 × 10⁸ ms⁻¹

λ = $\frac{c}{v}$ = $\frac{3 \times 10^{8}}{8 \times 10^{15}}$= 0.375 × 10⁻⁷ m = 3.75 × 10 nm

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