The values of Planck's constant and the speed | vedclass

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(D) The relationship between wavelength $(\lambda)$,speed of light $(c)$,and frequency $(
u)$ is given by $\lambda = \frac{c}{
u}$.Given: $c = 3.0 \

Vedclass · Accepted Answer

$4 	imes 10^1$

Vedclass · Answer

(D) The relationship between wavelength $(\lambda)$,speed of light $(c)$,and frequency $(
u)$ is given by $\lambda = \frac{c}{
u}$.Given: $c = 3.0 	imes 10^8 \ m \ s^{-1}$ and $
u = 8 	imes 10^{15} \ s^{-1}$.Substituting the values: $\lambda = \frac{3.0 	imes 10^8}{8 	imes 10^{15}} = 0.375 	imes 10^{-7} \ m = 3.75 	imes 10^{-8} \ m$.To convert meters to nanometers $(nm)$,multiply by $10^9$: $\lambda = 3.75 	imes 10^{-8} 	imes 10^9 \ nm = 37.5 \ nm$.The approximate value is $4 	imes 10^1 \ nm$.

The values of Planck's constant and the speed of light are $6.63 \times 10^{-34} \ J \ s$ and $3.0 \times 10^8 \ m \ s^{-1}$ respectively. Find the approximate wavelength in nanometers $(nm)$ of a light ray with a frequency of $8 \times 10^{15} \ s^{-1}$.

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