Question:
Identify the correct statements from the following :
A. The charge on a body can have any value greater than the charge on an electron or proton.
B. Gauss's theorem is valid for a closed surface of any shape and for any general charge distribution.
C. The net flux through a closed surface due to a charge lying outside the closed surface is zero.
D. Gauss's theorem is applicable to any field which obeys the inverse square law
Choose the correct answer from the options given below:
Identify the correct statements from the following :
A. The charge on a body can have any value greater than the charge on an electron or proton.
B. Gauss's theorem is valid for a closed surface of any shape and for any general charge distribution.
C. The net flux through a closed surface due to a charge lying outside the closed surface is zero.
D. Gauss's theorem is applicable to any field which obeys the inverse square law
Choose the correct answer from the options given below:
A. The charge on a body can have any value greater than the charge on an electron or proton.
B. Gauss's theorem is valid for a closed surface of any shape and for any general charge distribution.
C. The net flux through a closed surface due to a charge lying outside the closed surface is zero.
D. Gauss's theorem is applicable to any field which obeys the inverse square law
Choose the correct answer from the options given below:
Show Hint
Charge is quantised, so A is false. B, C and D are standard properties of Gauss's law.
Updated On: Oct 1, 2026
- A, B and C only
- A, B and D only
- A, B, C and D
- B, C and D only
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understanding the Question:
We must decide which of the four statements about charge and Gauss's theorem are true, and then pick the matching option.
Step 2: Statement A:
Charge is quantised. Any charge is an integer multiple of the electron charge: \(q = ne\). So a body cannot have any value. Only whole-number multiples of \(e\) are possible. Statement A is false.
Step 3: Statement B:
Gauss's theorem says \(\oint \vec{E}\cdot d\vec{S} = q_{enc}/\varepsilon_0\). It holds for a closed surface of any shape and for any charge distribution. Statement B is true.
Step 4: Statement C:
Field lines from an outside charge enter the closed surface and leave it. The inward flux equals the outward flux, so the net flux is zero. Statement C is true.
Step 5: Statement D:
Gauss's theorem depends on the field falling as \(1/r^2\). The area of a sphere grows as \(r^2\), so the flux stays constant. Any field that obeys the inverse square law follows the theorem. Statement D is true.
Step 6: Matching the Options:
True statements are B, C and D. Option 1 includes A, so it is wrong. Option 2 includes A and leaves out C, so it is wrong. Option 3 includes A, so it is wrong. Option 4 is B, C and D only.
Final Answer:
Statements B, C and D are correct, so option 4 is the answer. \[ \boxed{\text{B, C and D only}} \]
We must decide which of the four statements about charge and Gauss's theorem are true, and then pick the matching option.
Step 2: Statement A:
Charge is quantised. Any charge is an integer multiple of the electron charge: \(q = ne\). So a body cannot have any value. Only whole-number multiples of \(e\) are possible. Statement A is false.
Step 3: Statement B:
Gauss's theorem says \(\oint \vec{E}\cdot d\vec{S} = q_{enc}/\varepsilon_0\). It holds for a closed surface of any shape and for any charge distribution. Statement B is true.
Step 4: Statement C:
Field lines from an outside charge enter the closed surface and leave it. The inward flux equals the outward flux, so the net flux is zero. Statement C is true.
Step 5: Statement D:
Gauss's theorem depends on the field falling as \(1/r^2\). The area of a sphere grows as \(r^2\), so the flux stays constant. Any field that obeys the inverse square law follows the theorem. Statement D is true.
Step 6: Matching the Options:
True statements are B, C and D. Option 1 includes A, so it is wrong. Option 2 includes A and leaves out C, so it is wrong. Option 3 includes A, so it is wrong. Option 4 is B, C and D only.
Final Answer:
Statements B, C and D are correct, so option 4 is the answer. \[ \boxed{\text{B, C and D only}} \]
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