Numerical Problems - Physics Q and A

An infinitely long wire, located on the z-axis, carries a current $I$ along the $+z$ -direction and produces the magnetic field $\vec{B}$ . The magnitude of the line integral $\int \vec{B} \cdot d\vec{l}$ along a straight line from the point $(-\sqrt{3}a, a, 0)$ to $(a, a, 0)$ is given by:
$\text{[} \mu_0 \text{ is the magnetic permeability of free space.] }$

by adminApril 26, 2025April 26, 20250

Problem: An infinitely long wire, located on the z-axis, carries a current along the -direction and produces the magnetic field . The magnitude of the …

A dimensionless quantity is constructed in terms of electronic charge $e$ , permittivity of free space $\varepsilon_0$ , Planck’s constant $h$ , and speed of light $c$ . If the dimensionless quantity is written as $e^\alpha \varepsilon_0^\beta h^\gamma c^\delta$ and $n$ is a non-zero integer, then $(\alpha, \beta, \gamma, \delta)$ is given by

by adminApril 23, 2025April 23, 20250

Problem: A dimensionless quantity is constructed in terms of electronic charge , permittivity of free space , Planck’s constant , and speed of light . …

Show that the electric potential a distance z above the centre of a horizontal circular loop of radius R, which carries a uniform charge density per unit length λ…..

by adminDecember 23, 2024December 23, 20240

Problem: Show that the electric potential a distance z above the centre of a horizontal circular loop of radius R, which carries a uniform charge …

(a) A tiny ball of mass 0.6 g carries a charge of magnitude 8μC. It is suspended by a thread in a downward electric field of intensity 300N/C. What is the tension…..

by adminDecember 21, 2024December 21, 20240

Problem: (a) A tiny ball of mass g carries a charge of magnitude C. It is suspended by a thread in a downward electric field …

(a) Figure shows two point clusters of charge situated in free space placed on a line that is called the x-axis. The first, with a positive charge of Q1 =+8e, is at the origin……

by adminDecember 21, 2024December 21, 20240

Problem: (a) Figure shows two point clusters of charge situated in free space placed on a line that is called the x-axis. The first, with …

A spring is used to stop a crate of mass 50 kg which is sliding on a horizontal surface. The spring has a spring constant k = 20kN/m and is initially in its equilibrium state….

by adminNovember 9, 2024November 24, 20240

Problem: A spring is used to stop a crate of mass 50 kg which is sliding on a horizontalsurface. The spring has a spring constant …

A body slides down a rough plane inclined to the horizontal at 30^0…

by adminNovember 9, 2024November 24, 20240

A body slides down a rough plane inclined to the horizontal at . If of the initial potential energy is dissipated during the descent, find …

The constant forces $\Large{\bf F_1 = \hat i+2\hat j +3\hat k}$ N and $\Large{\bf F_2 = 4\hat i -5\hat j -2\hat k}$ N act together on a particle…

by adminNovember 9, 2024November 24, 20240

Problem: The constant forces and act togetheron a particle during a displacement from position to position . Determine the total work done on the particle. …

A block of metal of mass 2 kg on a horizontal table is attached to a mass of 0.45 kg by a light string passing over a frictionless……

by adminOctober 20, 2024November 24, 20240

A block of metal of mass 2 kg on a horizontal table is attached to a mass of 0.45 kg by a light string passing …

Consider a particle of mass m moving in one dimension under a force derived from the potential energy U(x) = k(x^2 − 4xl), where k > 0…..

by adminOctober 7, 2024November 24, 20240

Understanding how particles behave under different potential energies is key in classical mechanics. We explore a one-dimensional system where a particle of mass moves under …