Question:
A message signal of frequency $5 \,kHz$ is used to modulate a carrier signal of frequency $2\, MHz$ The bandwidth for amplitude modulation is:
A message signal of frequency $5 \,kHz$ is used to modulate a carrier signal of frequency $2\, MHz$ The bandwidth for amplitude modulation is:
Updated On: Mar 20, 2025
- $10 \,kHz$
- $2.5 \,kHz$
- $20\, kHz$
- $5\, kHz$
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The Correct Option is A
Solution and Explanation
1. The bandwidth of amplitude modulation is given by:
\[
B = 2 f_m,
\]
where \(f_m\) is the frequency of the message signal.
2. Substituting \(f_m = 5 \, \text{kHz}\): \[ B = 2 \times 5 = 10 \, \text{kHz}. \]
Thus, the bandwidth is 10 kHz. The bandwidth of an AM signal is twice the frequency of the modulating (message) signal, covering both upper and lower sidebands.
2. Substituting \(f_m = 5 \, \text{kHz}\): \[ B = 2 \times 5 = 10 \, \text{kHz}. \]
Thus, the bandwidth is 10 kHz. The bandwidth of an AM signal is twice the frequency of the modulating (message) signal, covering both upper and lower sidebands.
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Concepts Used:
Rotational Motion
Rotational motion can be defined as the motion of an object around a circular path, in a fixed orbit.
Rotational Motion Examples:
The wheel or rotor of a motor, which appears in rotation motion problems, is a common example of the rotational motion of a rigid body.
Other examples:
- Moving by Bus
- Sailing of Boat
- Dog walking
- A person shaking the plant.
- A stone falls straight at the surface of the earth.
- Movement of a coin over a carrom board
Types of Motion involving Rotation:
- Rotation about a fixed axis (Pure rotation)
- Rotation about an axis of rotation (Combined translational and rotational motion)
- Rotation about an axis in the rotation (rotating axis)