Wavelengths of different radiations are given below:
$\lambda(A) = 300 \ nm$
$\lambda(B) = 300 \ \mu m$
$\lambda(C) = 3 \ nm$
$\lambda(D) = 30 \ \mathring{A}$
Arrange these radiations in the increasing order of their energies.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(B < A < C = D) The energy of a radiation is given by $E = \frac{hc}{\lambda}$,which implies $E \propto \frac{1}{\lambda}$.
First,convert all wavelengths to meters:
$\lambda(A) = 300 \ nm = 300 \times 10^{-9} \ m = 3 \times 10^{-7} \ m$
$\lambda(B) = 300 \ \mu m = 300 \times 10^{-6} \ m = 3 \times 10^{-4} \ m$
$\lambda(C) = 3 \ nm = 3 \times 10^{-9} \ m$
$\lambda(D) = 30 \ \mathring{A} = 30 \times 10^{-10} \ m = 3 \times 10^{-9} \ m$
Comparing the wavelengths: $\lambda(B) > \lambda(A) > \lambda(C) = \lambda(D)$.
Since energy is inversely proportional to wavelength,the increasing order of energy is $B < A < C = D$.

Explore More

Similar Questions

What is the speed of all types of electromagnetic radiation in a vacuum? What is it called?

Explain the dual behavior of electromagnetic radiation.

$A$ gas absorbs a photon of $355 \ nm$ and emits at two wavelengths. If one of the emissions is at $680 \ nm,$ the other is at : ................. $nm$

The frequency of a light wave is $12 \times 10^{14} \ s^{-1}$. The wave number associated with it is .......

Explain emission and absorption spectra.

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo