With the propagation of a longitudinal wave through a material medium, the quantities transmitted in the propagation direction are

Options

A. Energy, momentum and mass
B. Energy
C. Energy and mass
D. Energy and linear momentum

Explanation

To solve the question regarding the quantities transmitted in the propagation direction of a longitudinal wave through a material medium, we can follow these steps:

### Step 1: Understand Longitudinal Waves
A longitudinal wave is a type of wave where the particle displacement is parallel to the direction of wave propagation. In a longitudinal wave, particles of the medium oscillate back and forth along the same direction as the wave travels.

**Hint:** Recall that in longitudinal waves, particles move in the same direction as the wave travels.

### Step 2: Identify the Mechanism of Energy Transmission
In a longitudinal wave, when a disturbance occurs (like a compression or rarefaction), energy is imparted to the particles. Each particle vibrates around its mean position and transfers energy to its neighboring particle. This process continues, creating a wave.

**Hint:** Think about how energy moves from one particle to another in a medium.

### Step 3: Analyze the Transmission of Quantities
1. **Energy:** As established, energy is transmitted from one particle to another through the oscillation of particles. Therefore, energy is transmitted in the direction of wave propagation.

2. **Mass:** The individual particles do not move from their mean positions; they only oscillate. Hence, mass is not transmitted through the wave.

3. **Linear Momentum:** Each particle has mass and gains velocity as it oscillates. When a particle transfers its energy to the next particle, it also transfers momentum (which is mass times velocity). Thus, linear momentum is transmitted.

**Hint:** Consider how momentum is defined (mass times velocity) and how it relates to the motion of particles in a wave.

### Step 4: Conclusion
Based on the analysis:
- Energy is transmitted.
- Mass is not transmitted.
- Linear momentum is transmitted.

Thus, the correct answer to the question is that the quantities transmitted in the propagation direction of a longitudinal wave are **energy and linear momentum**.

### Final Answer
The correct option is: **Energy and linear momentum.**