The types of waves produced in a sonometer wire are

Options

A. transverse progressive
B. transverse stationary
C. longitudinal progressive
D. longitudinal stationary

Answer

To determine the types of waves produced in a sonometer wire, we can follow these steps:

### Step 1: Understand the Sonometer
A sonometer is an apparatus used to study the vibrations of strings. It typically consists of a wire stretched between two points and can be used to produce sound waves.

**Hint:** Remember that a sonometer wire is a string under tension, which plays a crucial role in the type of waves produced.

### Step 2: Identify the Type of Waves
When a wire is vibrated, it can produce waves. The two main types of waves are:
- Transverse waves: where the displacement of the medium is perpendicular to the direction of wave propagation (like waves on a string).
- Longitudinal waves: where the displacement of the medium is parallel to the direction of wave propagation (like sound waves in air).

**Hint:** Think about how the wire vibrates when plucked or struck. Does it move up and down (transverse) or back and forth (longitudinal)?

### Step 3: Analyze the Wave Behavior
In a sonometer wire, when the wire is plucked, it vibrates in such a way that it creates crests and troughs. This indicates that the waves are transverse.

**Hint:** Visualize the motion of the wire when it vibrates. Are you seeing peaks and valleys (crests and troughs)?

### Step 4: Consider Stationary Waves
When two waves traveling in opposite directions meet, they can interfere with each other to form stationary (or standing) waves. In a sonometer, the waves reflect at the ends of the wire, creating this interference pattern.

**Hint:** Remember that stationary waves are formed due to the superposition of two waves traveling in opposite directions.

### Step 5: Conclusion
Based on the analysis, the types of waves produced in a sonometer wire are:
- Transverse waves (due to the nature of the wire's vibration).
- Stationary waves (due to the interference of waves traveling in opposite directions).

Thus, the correct answer is **transverse stationary waves**.

**Final Answer:** The types of waves produced in a sonometer wire are transverse stationary waves.