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NEET NEET Questions — Free MCQ Practice

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Calculate the area of the plates of a one farad parallel plate capacitor if the separation between plates is $1 mm$ and plates are in a vacuum.

A.

$18 \times 10^{8} m^{2}$

B.

$0.3 \times 10^{8} m^{2}$

C.

$1.3 \times 10^{8} m^{2}$

D.

$1.13 \times 10^{8} m^{2}$

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Explanation

For a parallel plate capacitor $C = \frac{ε_{0} A}{d}$

$∴ A = \frac{Cd}{ε_{0}} = \frac{1 \times 10^{- 3}}{8.85 \times 10^{- 12}} = 1.13 \times 10^{8} m^{2}$

This corresponds to the area of a square of side 10.6 km which shows that one farad is a very large unit of capacitance.

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Assertion : A particle $A$ of mass m and charge $Q$ moves directly towards a fixed particle $B$ , which

has charge $Q$ . The speed of $A$ is $v$ when it is far away from $B$ . The minimum separation

between the particles is proportional to $Q^{2}$ .

Reason : Total energy remains conserved.

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

According to law of conservation of energy,

$\frac{1}{2} {mv}^{2} = K \frac{Q^{2}}{x_{\min}} or x_{\min} = \frac{2 {KQ}^{2}}{{mv}^{2}}$

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Assertion : Potential difference between two points lying in a uniform electric field may be equal

to zero.

Reason : Points of line normal to electric field is equipotential line.

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

If two points, lying on a line normal to the direction of electric field, are considered equipotential then the potential difference between these two points will be equal to zero.

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Assertion : At a distance r from a +ve charged particle potential is V and electric field strength is E.

Then graph between $V^{2}$ & $E$ is straight line.

Reason : For a point charge $\frac{V^{2}}{E} = \frac{q}{4 π \in_{0}}$

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

For a point charge $E = \frac{1}{4 π \in_{0}} \frac{q}{r^{2}}; V = \frac{1}{4 π \in_{0}} \frac{q}{r}$

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Assertion : Each of the plates of a parallel-plate capacitor is given equal positive charge Q. The

charges on the facing surfaces will be same.

Reason : A negative charge (–Q) will be induced on each of the facing surfaces.

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

The charge on each of two facing surfaces will be zero.

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Assertion : Electric potential is a property of an electric field, regardless of whether a charged

object has been placed in that field.

Reason : Potential depends on test charge.

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

Potential is a property of electric field and it is independent on test charge.

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Assertion : Electric potential and electric potential energy are different quantities.

Reason : For a system of positive test charge and point charge electric potential energy = electric potential.

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

Potential and potential energy are different quantities and cannot be equated.

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Assertion : The component of $\vec{E}$ in any direction is the negative of the rate of change of the

electric potential with distance in that direction.

Reason : Potential gradient in any direction at a point gives total electric field at that point.

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

$\vec{E} = - (\frac{\partial v}{\partial x} \hat{i} + \frac{\partial v}{\partial y} \hat{j} + \frac{\partial v}{\partial z} \hat{k})$

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Assertion : Two equipotential surfaces cannot cut each other.

Reason : Two equipotential surfaces are parallel to each other.

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

Two equipotential surfaces are not necessarily parallel to each other.

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$A battery of internal resistance r, when connected across 2 Ω resistor supplies a current of 4 A, when the same battery is connected across a 5 Ω resistor, it supplies a current o f 2 A . The value of r is$

A.

$2 Ω$

B.

$1 Ω$

C.

$0.5 Ω$

D.

$Zero$

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Explanation

$4 = \frac{E}{r + 2} . . . (1) 2 = \frac{E}{r + 5} . . . (2) \Rightarrow r = 1 Ω$

NEET Practice Questions (MCQs) with Answers & Solutions

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