Exams › JEE Main › Physics

A telephone communication system operates at a carrier frequency of 10 GHz, and only 10% of this is used for transmission. If each telephone channel needs a bandwidth of 5 kHz, how many channels can be carried at the same time?

1. 2 × 10³
2. 2 × 10⁴
3. 2 × 10⁵
4. 2 × 10⁶

Correct answer: 2 × 10⁵

Solution

The system uses 10% of the 10 GHz carrier frequency, which is 1 GHz, for transmission. Dividing this available bandwidth (1 GHz or 1,000,000 kHz) by the bandwidth required for each channel (5 kHz) results in 200,000 channels, or 2 × 10⁵.

Related JEE Main Physics questions

• A plane electromagnetic wave falls on a material surface. If it transfers momentum p and energy E, which statement is true?
• For an electromagnetic wave moving in vacuum, the electric field is expressed as E = E₀ sin(kx − ωt). Which of the following quantities does not depend on the wavelength?
• When an electromagnetic wave enters the ionised region of the ionosphere, the moving electron cloud gives rise to a space current, while the electric field also produces a capacitive displacement current. In this situation, what is the phase relation between the space current and the displacement current?
• The rms electric field associated with sunlight is 720 N/C. What is the mean total energy density of this electromagnetic wave?
• The electric field component of an electromagnetic wave in a medium is given by Eₓ = 0, E_y = 2.5 N/C cos[(2π × 10⁶ rad/m)x - (π × 10⁻² rad/s)t] ŷ, and E_z = 0. The wave is:
• A source of monochromatic green light radiates equally in every direction. If it converts only 3% of the 100 W electrical power it uses into electromagnetic radiation, then the electric-field amplitude of the emitted wave at a point 5 m away from the source is closest to:

⚔️ Practice JEE Main Physics free + battle 1v1 →