`S_1`: In a metallic body total number of electrons is very large in comparison with non metallic solid body of same mass.
`S_2`: An uncharged conductor kept near a charged body is attracted by that body whether the charge on the body is positve or negative.
`S_3`: The electric field produced by an infinitely large sheet is same on both sides.

Options

A. TTF
B. FTF
C. TTT
D. FFF

Explanation

To determine the truthfulness of the statements provided regarding electrostatics, let's analyze each statement step by step.

### Step 1: Analyzing Statement S1
**Statement S1**: "In a metallic body, the total number of electrons is very large in comparison with a non-metallic solid body of the same mass."

- **Analysis**:
- Both metallic and non-metallic bodies of the same mass will have the same number of electrons, as the mass of an object is related to the number of atoms and their respective electrons.
- However, in metallic bodies, there are more free electrons available for conduction compared to non-metallic bodies, which have bound electrons.

- **Conclusion**: This statement is **false** because it incorrectly suggests that the total number of electrons differs between the two types of materials.

### Step 2: Analyzing Statement S2
**Statement S2**: "An uncharged conductor kept near a charged body is attracted by that body whether the charge on the body is positive or negative."

- **Analysis**:
- When an uncharged conductor is placed near a charged body, it experiences induction. The presence of the charged body causes the electrons in the conductor to redistribute.
- If the charged body is positive, electrons in the conductor are attracted towards it, creating a negative charge on the side of the conductor closest to the charged body, resulting in attraction.
- Conversely, if the charged body is negative, electrons in the conductor are repelled, leaving a positive charge on the side closest to the charged body, which also results in attraction.

- **Conclusion**: This statement is **true** as the uncharged conductor is attracted to both positively and negatively charged bodies.

### Step 3: Analyzing Statement S3
**Statement S3**: "The electric field produced by an infinitely large sheet is the same on both sides."

- **Analysis**:
- For an infinitely large uniformly charged sheet, the electric field \( E \) on either side is given by the formula \( E = \frac{\sigma}{2\epsilon_0} \), where \( \sigma \) is the surface charge density and \( \epsilon_0 \) is the permittivity of free space.
- While the magnitude of the electric field is the same on both sides, the direction of the electric field is opposite on either side of the sheet.

- **Conclusion**: This statement is **false** because it implies that the electric field is the same in both magnitude and direction, which is not the case.

### Final Summary
- S1: **False**
- S2: **True**
- S3: **False**

### Answer: FTF (False, True, False)

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