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JEE Physics Mastery Hub: The Industry Foundation Practice Te

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Q1Domain Verified
A particle of mass $m$ moves in a circular path of radius $R$ under the influence of a central force $F(r) = -kr^n$, where $k > 0$ and $n$ is a real number. If the particle is in a stable circular orbit at a radius $r_0$, which of the following conditions must be met for $n$?
$n = -1$
$n > -1$
$n = -3$
$n < -1$
Q2Domain Verified
A point charge +q is placed at the origin. A Gaussian surface in the shape of a sphere of radius R is centered at the origin. If the charge is moved to a point (R/2, 0, 0) within the sphere, what happens to the electric flux through the Gaussian surface?
D) It becomes zero.
It decreases by a factor of 2.
It increases by a factor of 2.
It remains unchange
Q3Domain Verified
Consider a long, straight, uniformly charged wire with linear charge density $\lambda$. A cylindrical Gaussian surface of radius r and length L is coaxial with the wire. If the wire is replaced by a thin cylindrical shell of radius R (where R < r) carrying the same linear charge density $\lambda$, what is the electric field at a radial distance r from the axis of the shell?
It is zero.
It is half of what it would be if the charge were on the wire.
It depends on the length L of the Gaussian surface.
It is the same as if the charge were on the wire.

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This domain protocol is rigorously covered in our 2026 Elite Framework. Every mock reflects direct alignment with the official assessment criteria to eliminate performance gaps.

This domain protocol is rigorously covered in our 2026 Elite Framework. Every mock reflects direct alignment with the official assessment criteria to eliminate performance gaps.

This domain protocol is rigorously covered in our 2026 Elite Framework. Every mock reflects direct alignment with the official assessment criteria to eliminate performance gaps.

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