Question

A particular station of All India Radio, New Delhi broadcasts on a frequency of 1,368 kHz (kilohertz). The wavelength of the electromagnetic radiation emitted by the transmitter is : [speed of light c=3.0×108 ms⁻¹]

A. 21.92 cm
B. 219.3 m
C. 219.2 m
D. 2192 m

Answer 1

To find the wavelength of the electromagnetic radiation from All India Radio, New Delhi, broadcasting at 1,368 kHz, use the formula λ = c / ν, resulting in a wavelength of 219.2 meters.

Step-by-step explanation:

To calculate the wavelength (λ) of the electromagnetic radiation emitted by the transmitter at All India Radio, New Delhi, which broadcasts on a frequency of 1,368 kHz, we use the formula:

c = λν

Where:

• c is the speed of light (3.0×108 m/s)
• λ is the wavelength we need to find
• ν (nu) is the frequency of the waves (1,368 kHz or 1,368×103 Hz)

First, we convert the frequency to hertz:

1,368 kHz = 1,368×103 Hz

Now we rearrange the formula to solve for λ:

λ = c / ν

Substituting the known values:

λ = (3.0×108 m/s) / (1,368×103 Hz)

λ = 2.192×102 m

Therefore, the wavelength of the electromagnetic radiation is 219.2 meters (Option C).