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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): Electric field is always normal to equipotential surfaces and along the direction of decreasing order of potential.
Reason (R): Negative gradient of electric potential is electric field.
So, The electric field is always perpendicular to the equipotential surface. Negative gradient of electric potential is the electric field. So, the direction of the electric field must be in the direction of the decreasing order of electric potential.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): Work done in moving a charge between any two points in a uniform electric field is independent of the path followed by the charge between these two points.
Reason (R): Electrostatic forces are nonconservative.
Electrostatic forces are conservative type. Hence, the reason is false.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): When the distance between the parallel plates of a parallel plate capacitor is halved and the dielectric constant of the dielectric used is made three times, then the capacitance becomes three times.
Reason (R): Capacitance does not depend on the nature of material.
Initial capacitance =
Finally the capacitance =
So, C2 = 6C1
Hence the assertion is true.
From the expression of the capacitance, we find that capacitance depends on the area of the plates, dielectric constant and the distance between the plates. It does not depend on the nature of the material of the plates. Hence the reason is also true. But the reason cannot explain the assertion.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): Capacity of a conductor is independent of the amount of charge on it.
Reason (R): Capacitance depends on the dielectric constant of the surrounding medium, shape and size of the conductor.
In the expression, there is no involvement of charge. So, capacitance is independent of charge. Hence the assertion is true. It depends on the permittivity of the surrounding medium and the area of the plate. So, the reason is also true. Reason explains the assertion.
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion : If the distance between parallel plates of a capacitor is halved and dielectric constant is three times, then the capacitance becomes 6 times.
Reason : Capacity of the capacitor does not depend upon the nature of the material.
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion : The total charge stored in a capacitor is zero.
Reason : The field just outside the capacitor is σ/ε0. (σ is the charge density).
∫E.ds = 0 yields E = 0
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion : Two concentric charged shells are given. The potential difference between the shells depends on the charge of the inner shell.
Reason : Potential due to charge of outer shell remains same at every point inside the sphere.
For a shell of radius R with charge Q, potential on the surface or any point inside is given by
Potential at inner shell is given by
Potential at outer shell
Potential difference
Therefore, Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion: The potential difference between any two points in an electric field depends only on initial and final position.
Reason: Electric field is a conservative field so the work done per unit positive charge does not depend on the path followed.
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion : Electric field is discontinuous across the surface of a spherical charged shell.
Reason : Electric potential is continuous across the surface of a spherical charged shell.
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion : Two adjacent conductors of unequal dimensions, carrying the same positive charge have a potential difference between them.
Reason : The potential of a conductor depends upon the charge given to it.
V1 = KQ/r1
V2 = KQ/r2
Since r1 ≠ r2, V1 ≠ V2 and consequently there will be a potential difference between the two conductors.
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion : For a non-uniformly charged thin circular ring with net charge is zero, the electric field at any point on the axis of the ring is zero.
Reason : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on the axis of the ring is zero.
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion : Polar molecules have permanent dipole moments.
Reason : In polar molecules, the centres of positive and negative charges coincide even when there is no external field.
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion : In the absence of an external electric field, the dipole moment per unit volume of a polar dielectric is zero.
Reason : The dipoles of a polar dielectric are randomly oriented.
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion : Electric energy resides out of the spherical isolated conductor.
Reason : The electric field at any point inside the conductor is zero.
Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion: Two equipotential surfaces can be orthogonal.
Reason: Electric field lines are normal to the equipotential surface.
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