Electromagnetic Waves Ques 17

17. If $\lambda_v, \lambda_x$ and $\lambda_m$ represent the wavelengths of visible light, $X$-rays and microwaves respectively, then

[2005]

(a) $\lambda_m>\lambda_x>\lambda_v$

(b) $\lambda_m>\lambda_v>\lambda_x$

(c) $\lambda_v>\lambda_x>\lambda_m$

(d) $\lambda_v>\lambda_m>\lambda_x$

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Answer:

Correct Answer: 17.(b)

Solution:

  1. (b) We know $E=\frac{h c}{\lambda} \Rightarrow E \propto \frac{1}{\lambda}$

$\Rightarrow E_m<E_v<E_x$

$\therefore \lambda_m>\lambda_v>\lambda_x$

Energy of electromagnetic wave, $E=\frac{h c}{\lambda}$

For $e m$ wave of lower energy, $(v)$ is small and $\lambda$ is larger.

For $e m$ wave of higher energy (v) is large and $\lambda$ is small.