A vibrating tuning fork is first held in the hand and then its end is broght in contact with a table. Which of the following statement (s) is are correct in respect of this situation?

Options

A. The sound is louder when the tuning fork is held in hand
B. The sound is louder when the tuning fork is in contact with table.
C. The sound dies away sooner when tuning fork is brought in contact with the table.
D. The sound remains for a longer duration when turning fork is held in hand.

Explanation

To analyze the situation of a vibrating tuning fork being held in hand versus being in contact with a table, we can break down the problem step by step:

### Step 1: Understand the Initial Condition
- When the tuning fork is held in hand, it vibrates and produces sound. However, the sound is limited by the small surface area of the hand, which restricts the amount of sound energy that can be transmitted into the air.

**Hint:** Consider how the surface area affects sound production and transmission.

### Step 2: Analyze the Sound Production in Hand
- In this scenario, the sound produced is relatively quiet because the vibrations are not effectively transmitted into the surrounding air. The energy is conserved but not efficiently radiated.

**Hint:** Think about how sound energy disperses in different environments.

### Step 3: Transition to Contact with the Table
- When the tuning fork is brought into contact with the table, it has a much larger surface area to transmit its vibrations. This increased contact area allows more sound energy to be radiated into the air.

**Hint:** Reflect on how contact with a larger surface area can enhance sound production.

### Step 4: Evaluate the Loudness of Sound
- As a result of the larger surface area, the sound produced when the tuning fork is in contact with the table is louder compared to when it is held in hand.

**Hint:** Consider the relationship between surface area and sound intensity.

### Step 5: Consider the Duration of Sound
- Although the sound is louder when the tuning fork is in contact with the table, it will not last as long. This is because the energy is dissipated more quickly due to the efficient transmission of sound waves.

**Hint:** Think about how energy conservation plays a role in the duration of sound.

### Step 6: Conclusion on the Statements
- Now, we can evaluate the statements based on our analysis:
1. The sound is louder when the tuning fork is held in hand. (Incorrect)
2. The sound is louder when the tuning fork is in contact with the table. (Correct)
3. The sound dies away sooner when the tuning fork is in contact with the table. (Correct)
4. The sound remains for a longer duration when the tuning fork is held in hand. (Correct)

### Final Answer
- The correct statements are: 2, 3, and 4.