Physics Test - ...

The position of a particle at any time \(t\) is given by the relation \(x(t)=\frac{v}{A}\left(1-e^{-A t}\right)\) where \(v\) is the velocity. Then what will be the dimension of \(A\)?

The magnetic field at the center of current carrying circular loop is \(B_1\). The magnetic field at a distance of \(\sqrt{3}\) times radius of the given circular loop from the center on its axis is \(\mathrm{B}_2\). The value of \(\mathrm{B}_1 / \mathrm{B}_2\) will be

Dimension of Planck's constant is similar to:

Calculate the Coulomb force between \(2\) alpha particles separated by\(3.2 \times 10^{-15} m\).

Interference proves:

An electron and a proton are allowed to fall through the separation between the plates of a parallel plate capacitor of voltage \(5 \mathrm{~V}\) and separation distance \(\mathrm{h}=1 \mathrm{~mm}\). Calculate the time of flight for both electron and proton:

Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction as shown in figur. The speed of each particle is

Some gases like Hydrogen, oxygen, nitrogen behaves as an ideal gas at:

Four identical hollow cylindrical columns of mild steel support a big structure of mass \(50 \times 10^3 \mathrm{~kg}\). The inner and outer radii of each column are \(50 \mathrm{~cm}\) and \(100 \mathrm{~cm}\), respectively. Assuming, uniform local distribution, calculate the compressionstrain of each column.

[Use, \(Y=2.0 \times 10^{11} \mathrm{~Pa}, g=9.8 \mathrm{~m} / \mathrm{s}^2\) ].