In a sonometer wire, the produced waves are

Options

A. longitudinal
B. transverse, stationary and unpolarised
C. transverse, stationary and polarised
D. transverse, progressive and polarised

Answer

To solve the question regarding the nature of waves produced in a sonometer wire, we will break down the concepts step by step.

### Step 1: Understanding the Sonometer Setup
A sonometer is a device used to study the vibrations of strings. It consists of a wire stretched between two fixed points, with a mass hanging from one end to create tension in the wire.

**Hint:** Visualize the setup of the sonometer wire, noting the fixed ends and the tension created by the hanging mass.

### Step 2: Identifying the Type of Waves
When the wire is plucked or vibrated, waves are generated. In a sonometer wire, the waves produced are transverse waves. This means that the displacement of the particles in the wire is perpendicular to the direction of wave propagation.

**Hint:** Remember that in transverse waves, the motion of the medium (the wire) is at right angles to the direction in which the wave travels.

### Step 3: Wave Interference
In the sonometer, two waves of equal amplitude, frequency, and speed travel in opposite directions. When these waves meet, they interfere with each other, leading to the formation of a stationary wave (also known as a standing wave).

**Hint:** Think about how two waves moving in opposite directions can combine to create points of no movement (nodes) and points of maximum movement (antinodes).

### Step 4: Characteristics of Stationary Waves
Stationary waves are characterized by fixed points (nodes) where there is no movement and points (antinodes) where the movement is maximum. This occurs due to the superposition of the two waves.

**Hint:** Recall that stationary waves result from the interference of two waves traveling in opposite directions.

### Step 5: Polarization of Waves
In the case of the sonometer wire, the transverse waves can also be polarized. Polarization refers to the orientation of the oscillations in the wave. In this case, since the oscillations occur in a plane, the waves are considered polarized.

**Hint:** Consider how the orientation of the wave's oscillation relates to polarization.

### Conclusion
Based on the analysis, the waves produced in a sonometer wire are transverse, stationary, and polarized. Therefore, the correct answer to the question is:

**Final Answer:** Transverse, stationary, and polarized.