Question

If a source is transmitting electromagnetic waves of frequency$8.196\times {10}^{6}Hz,$ then the wavelength of the electromagnetic waves transmitted from the source will be

• A. $5090cm$
• B. $4050cm$
• C. $4230cm$
• D. $3660cm$

Answer 1

The correct option is D

$3660cm$

Step 1: Given data:

The source is transmitting electromagnetic waves of frequency$f=8.196\times {10}^{6}Hz,$

The velocity of the EM waves$v=3\times {10}^{8}m/s$

Step 2: Formula used:

The electromagnetic waves sent out by the source will have a wavelength $\lambda =\frac{v}{f}$

Now substitute the values in the formula,

$$\begin{gathered} \lambda =\frac{3\times {10}^8}{8.196\times {10}^6} \\ \lambda =36.60m \\ \lambda =3660cm \end{gathered}$$

Therefore the wavelength of the electromagnetic waves transmitted from the source will be $3660cm$.

Hence, the correct option is (D).