The value of Planck's constant is 6.63 $ imes 10^{-34} \mathrm{Js}$. The velocity of light is $3.0 imes$ $10^8 \mathrm{~ms}^{-1}$. Which value is closest to the wavelength in nanometers of quantum of light with frequency of $8 imes 10^{15} \mathrm{~s}^{-1}$ ?

Question

The value of Planck's constant is 6.63 $	imes 10^{-34} \mathrm{Js}$. The velocity of light is $3.0 	imes$ $10^8 \mathrm{~ms}^{-1}$. Which value is closest to the wavelength in nanometers of quantum of light with frequency of $8 	imes 10^{15} \mathrm{~s}^{-1}$ ?

Aicharya · Accepted Answer

$\begin{aligned} & c=v 	imes \lambda ; \lambda=\frac{c}{v} \ & \Rightarrow \lambda=\frac{3 	imes 10^8}{8 	imes 10^{15}}=0.375 	imes 10^{-7} \mathrm{~m} \ & =0.375 	imes 10^{-7} 	imes 10^9 \mathrm{~nm} \ & =0.375 	imes 10^2 \mathrm{~nm} \ & =37.5 \mathrm{~nm} \ & \approx 4 	imes 10 \mathrm{~nm} \end{aligned}$

The value of Planck's constant is 6.63 $\times 10^{-34} \mathrm{Js}$. The velocity of light is $3.0 \times$…

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