Question

The velocity of propagation (in vacuum) and the frequency of (i) X-rays and (ii) radiowaves are denoted by (vx, nx) and (vR, nR) respectively.
How do the values of
(a) vx and vR
(b) nx and nR, compare with each other?

Answer 1

Answer:

(a) vx/vR > 1 or vx=vR

(b) nx > nR

Answer 2

Answer: (a) $v_x = v_R = c$

             (b) $n_x > > n_R$

The velocity of propagation in a vacuum is the same for all electromagnetic waves and is denoted by 'c' which is approximately 3 × 10^8 meters per second.

Therefore, the values of vx and vR are both equal to 'c' and are therefore the same.

However, the frequency of X-rays (nx) is much higher than the frequency of radio waves (nR). X-rays have frequencies ranging from about 10^16 to 10^20 Hz, while radio waves have frequencies ranging from about 10^3 to 10^9 Hz. Therefore, nx is much larger than nR.

In summary:

             (a) $v_x = v_R = c$

             (b) $n_x > > n_R$

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