Question 380 of 949
In a simple harmonic motion, the maximum displacement from the equilibrium position is known as what?
- Frequency
- Amplitude
- Period
- Wavelength
Correct Answer:
B
Explanation
The correct option is **B. Amplitude**.
### Detailed Explanation:
1. **Understanding Simple Harmonic Motion (SHM)**:
- Simple Harmonic Motion is a type of periodic motion where an object moves back and forth around an equilibrium position. This motion is characterized by a restoring force that is directly proportional to the displacement from the equilibrium position and acts in the opposite direction.
2. **Key Terms in SHM**:
- **Equilibrium Position**: This is the central point where the object would naturally come to rest if there were no forces acting on it.
- **Maximum Displacement**: This refers to the furthest point the object moves from the equilibrium position during its motion.
3. **Definition of Amplitude**:
- The maximum displacement from the equilibrium position in SHM is called the **amplitude**. It is a measure of how far the object moves from its central position. The amplitude is a crucial parameter because it determines the energy of the motion; a larger amplitude means more energy.
4. **Why Option B is Correct**:
- In the context of SHM, amplitude is defined specifically as the maximum distance from the equilibrium position. This is a fundamental concept in physics, particularly in wave mechanics and oscillatory motion.
5. **Why the Other Options are Incorrect**:
- **A. Frequency**: This refers to how many cycles of motion occur in a unit of time (usually measured in Hertz, Hz). It does not describe displacement but rather the rate of oscillation.
- **C. Period**: The period is the time it takes to complete one full cycle of motion. Like frequency, it does not relate to displacement but rather to the timing of the oscillation.
- **D. Wavelength**: This term is used in wave mechanics to describe the distance between successive crests (or troughs) of a wave. It is not applicable to the concept of displacement in SHM.
### Formulas and Concepts:
- The general equation for SHM can be expressed as:
\[
x(t) = A \cos(\omega t + \phi)
\]
where:
- \( x(t) \) is the displacement at time \( t \),
- \( A \) is the amplitude,
- \( \omega \) is the angular frequency,
- \( \phi \) is the phase constant.
### Common Pitfalls:
- Students often confuse amplitude with period or frequency. Remember that amplitude is about how far the object moves from the center, while period and frequency relate to how fast it moves.
- Itβs also important to note that amplitude is always a positive value, as it represents a distance.
### Revision Summary:
- The maximum displacement from the equilibrium position in SHM is called **amplitude**.
- Amplitude is crucial for understanding the energy of the motion.
- Frequency and period relate to the timing of the motion, not the displacement.
- Wavelength is a term used in wave mechanics, not in the context of SHM displacement.