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Standard XII

Physics

Gauss's Law

Four point ch...

Question

Four point charges $q_{1}, q_{2}, q_{3}$ and $q_{4}$ are as shown in figure. The flux over the shown Gaussian surface depends only on charges $q_{1}$ and $q_{2}$ .
Reason: Electric field at all points on Gaussian surface depends only on charges $q_{1}$ and $q_{2}$ .

Both Assertion arid Reason are correct and Reason is the correct explanation of Assertion.

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Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

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Assertion is correct but Reason is incorrect.

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Assertion is incorrect but Reason is correct.

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Solution

The correct option is B Assertion is correct but Reason is incorrect.
By Gauss Law, total flux will depend only on enclosed charges, i.e. $q_{1} a n d q_{2}$ but flux at each point will depend on all charges.

$ϕ = \frac{q_{e n c l o s e d}}{ϵ}$
Electric field depends on all $q_{1}, q_{2}, q_{3} a n d q_{4},$

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Similar questions

Q. Assertion :Four point charges

q_{1}

q_{2}

q_{3}

and

q_{4}

are as shown in figure. The flux over the shown Gaussian surface depends only on charges

q_{1}

and

q_{2}

. Reason: Electric field at all points on Gaussian surface depends only charges

q_{1}

and

q_{2}

Q. In the given question, a statement of Assertion

(A)

is given, followed by a corresponding statement of Reason

(R)

just below of it. Mark the correct answer.

Assertion

(A)

: Four point charges

q_{1}, q_{2}, q_{3} and q_{4}

are as shown in figure. The flux over the shown Gaussian surface depends only on charges

q_{1} and q_{2}

Reason

(R)

: Electric field at all points on Gaussian surface depends only on charges

q_{1} and q_{2}

Q. Assertion

(A)

: Four point charges

q_{1}, q_{2}, q_{3}

and

q_{4}

are as shown in figure. The flux over the shown gaussian surface depends only on charges

q_{1}

and

q_{2}

Reason

(R)

: Electric field at all points on gaussian surface is depends only on charges

q_{1}

and

q_{2}

Select the most appropriate answer from the options given below

Assertion: All the points (1, 0), (-1, 0), (2, 0) and (5, 0) lie on the x – axis.
Reason: Equation of the x-axis is y = 0

Choose the correct option.

Q. Assertion : Two electrons of helium atom are placed in only one shell but three electrons of lithium need two shells.
Reason: A shell can have maximum

{2n}^{2}

electrons.

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Four point charges q1,q2,q3 and q4 are as shown in figure. The flux over the shown Gaussian surface depends only on charges q1 and q2.Reason: Electric field at all points on Gaussian surface depends only on charges q1 and q2.

The correct option is B Assertion is correct but Reason is incorrect.By Gauss Law, total flux will depend only on enclosed charges, i.e. q1andq2 but flux at each point will depend on all charges.ϕ=qenclosedϵElectric field depends on all q1,q2,q3 and q4,

Four point charges $q_{1}, q_{2}, q_{3}$ and $q_{4}$ are as shown in figure. The flux over the shown Gaussian surface depends only on charges $q_{1}$ and $q_{2}$ .
Reason: Electric field at all points on Gaussian surface depends only on charges $q_{1}$ and $q_{2}$ .