Question

Which statement is true about the energy of electromagnetic radiation? A.the frequency of the emmited radiation is inversely proportional to its energy. B.the frequency of the emitted radiation is directly proportional to its energy C.the wavelength of the emitted radiation is directly proportional to its energy. D.the amplitude of the emitted radiation is inversely proportional to its energy.

Answer 1

Answer: Option (B) is the correct answer.

Explanation:

The radiation in which waves of electromagnetic field travel or propagate through the space and carries electromagnetic radient energy is known as electromagnetic radiation.

The relation between energy and frequency is as follows.

                    $E = h \nu$  ............ (1)

where,      E = energy

                h = plank's constant

           $\nu$ = frequency

Therefore, the frequency of the emitted radiation is directly proportional to its energy.

Also, frequency is proportional to c over wavelength. The relation is as follows.

                $\nu = \frac{c}{\lambda}$ ........ (2)

where,      $\nu$ = frequency

                         c = speed of light

                     $\lambda$ = wavelength

Placing the value of frequency from equation (2) to equation (1) as follows.  

                          $E = \frac{hc}{\lambda}$

Thus, the wavelength of the emitted radiation is inversely proportional to its energy.

Answer 2

The frequency of the emitted radiation is directly proportional to its energy