Question

Find the ratios of energies of radiations 2000a and 4000 a

Answer 1

Energy of a radiation of wavelength w is given as:

$E = \frac{hc}{w} \\ \\ \rightarrow E \: \: \alpha \frac{1}{w}$

Here, we are given two wavelengths.

w1 = 2000 A

w2 = 4000A

Ratio of energy is:


$\frac{E_1 }{E_2} = \frac{w_2}{w_1} = \frac{4000}{2000} \\ \\ \boxed{ \frac{E_1 }{E_2} = 2: 1}$


Ratio of energies is 2:1

Answer 2

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Energy of a radiation of wavelength w is given as:

$E = \frac{hc}{w} \\ \\ \rightarrow E \: \: \alpha \frac{1}{w}$

Here, we are given two wavelengths.

w1 = 2000 A

w2 = 4000A

Ratio of energy is:

$\frac{E_1 }{E_2} = \frac{w_2}{w_1} = \frac{4000}{2000} \\ \\ \boxed{ \frac{E_1 }{E_2} = 2: 1}$

Ratio of energies is 2:1