List of top Questions asked in KEAM

If \( I = 2 \, \text{A}, \, \phi = 10^{-2} \, \text{Weber}, \, N = 1000 \), calculate the self-inductance.

A galvanometer of 500Ω resistance is shunted such that only 4% of the current passes through the galvanometer. Find the shunt resistance.

A particle of charge equal to 10 times the charge of electrons revolves in a circle with frequency equal to 10 revolutions per second. Find the magnetic field at the centre of the circular path.

A circular loop is made from a wire of length 6m. If 2A current passes through the circular loop, what is the magnetic moment of the loop?

If work function of a metal is 6.6 eV, find the threshold wavelength. \text{Given} \( h = 6.6 \times 10^{-34} \, \text{J} \cdot \text{s} \).

Find the relation between the wavelength of proton and electron, if both particles have the same kinetic energy.

If a body of mass 5 kg has a linear momentum of 4 kg⋅m/s, find the kinetic energy.

If \( I \), \( E \) and \( L \) are the moment of inertia, rotational kinetic energy, and angular momentum respectively, then:

Given mass of neutron \( 1.0087 \, u \), mass of proton \( 1.0073 \, u \), mass of \( ^4He \) \( = 4.0018 \, u \), find the binding energy of He.

Two identical capacitors of capacitance \( C \) are connected in series. If the space between the plates of one of the capacitors is filled with a medium of dielectric constant \( k \), what is the effective capacitance?

If the ratio of escape velocities is 3:2 from two different planets A and B of radii in the ratio 2:3, find the ratio of acceleration due to gravity at the surface of A to that at the surface of B.

If an open pipe suddenly closed, the frequency of the third harmonic of the closed pipe is 50Hz more than the fundamental frequency of the open pipe. Find the fundamental frequency.

Kirchhoff's first and second laws are consequence of conservation of ----- and ----- respectively:

If a body travels half of the total distance with velocity of \(20 \, \text{km/hr}\) and other half with velocity of \(30 \, \text{km/hr}\), find average velocity.

What is the ratio of maximum height attained to the height attained at \( t = 1 \) s for a projectile of initial velocity \( u \) projected at an angle \( 30^\circ \) with horizontal?

If \( r_1 = \frac{c_p}{c_v} \) of a rigid diatomic gas and \( r_2 = \frac{c_p}{c_v} \) of a non-rigid diatomic gas, find \( r_1 \) and \( r_2 \).

Two metallic spheres of radii 1:2 are connected by a conducting wire. What is the ratio of electric field intensities at their surface?

Dimension of Planck's constant is same as that of:

What is the number of significant figures in \( 420.00040 \times 10^{-3} \)?

When light containing photon of energy \(2h\nu_0\) falls on a metal of work function \(h\nu_0\), electrons of velocity \(v_1\) are ejected. When photons of energy \(5h\nu_0\) is incident, velocity of electrons ejected is \(v_2\). What is the ratio \( \frac{v_1}{v_2} \)?

The distance between two charges \( q_1 = +2 \, \mu C \) and \( q_2 = +8 \, \mu C \) is 15 cm. Calculate the distance from the charge \( q_1 \) to the points on the line segment joining the two charges where the electric field is zero.

Which of the following has the least atomic radius?

If the line \( 2x - 3y + c = 0 \) passes through the focus of the parabola \( x^2 = -8y \), then the value of \( c \) is equal to:

A straight line passing through (6,1,3) meets the line \( \frac{x-1}{2} = \frac{y}{1} = \frac{z-2}{3} \) at Q. If the lines are perpendicular to each other, then the coordinates of Q are:

Which one of the following elements is represented as Eka-silicon in Mendeleev's periodic table?