List of top Physics Questions asked in KEAM

When an \( \alpha \) particle and a proton are projected into a perpendicular uniform magnetic field, they describe circular paths of the same radius. The ratio of their respective velocities is:

The y-intercept of the graph between the terminal voltage \(V\) with load resistance \(R\) along \(y\) and \(x\) – axis, respectively, of a cell with internal resistance \(r\), as shown, is: 

Magnitude of drift velocity per unit electric field is known as:
A spherical metal shell \( A \) of radius \( R_A \) and a solid metal sphere \( B \) of radius \( R_B \) (\( R_B<R_A \)) are kept far apart and each is given charge \( +Q \). If they are connected by a thin metal wire and \( Q_A \) and \( Q_B \) are the charge on \( A \) and \( B \), respectively, then:
The electric field due to an infinitely long thin wire with linear charge density \( \lambda \) at a radial distance \( r \) is proportional to:
The ratio of the magnitudes of electrostatic force between an electron and a proton separated by a distance \( r \) to that between a proton and an alpha particle separated by the same distance \( r \) is:
A tuning fork vibrating at 300 Hz, initially in air, is then placed in a trough of water. The ratio of the wavelength of the sound waves produced in air to that in water is (Given that the velocity of sound in water and in air at that place are 1500 m/s and 350 m/s respectively):
Ratio between the frequencies of the third harmonics in the closed organ pipe and open organ pipe of the same length is:

According to equipartition principle, the energy contributed by each translational degree of freedom and rotational degree of freedom at a temperature T are respectively (\( k_B = \text{Boltzmann constant} \)):

Two similar metallic rods of the same length \( l \) and area of cross section \( A \) are joined and maintained at temperatures \( T_1 \) and \( T_2 \) (\( T_1>T_2 \)) at one of their ends as shown in the figure. If their thermal conductivities are \( K \) and \( \frac{K}{2} \) respectively. The temperature at the joining point in the steady state is: 

The type of processes represented by the curves X and Y are: 

The efficiency of a Carnot engine operating between steam point and ice point is:
The coefficient of linear expansion of aluminum is \( 2.5 \times 10^{-5} \, {K}^{-1} \). Its coefficient of volume expansion in \( {K}^{-1} \) is:
In an incompressible liquid flow, mass conservation leads to:
The time period of revolution of a planet around the sun in an elliptical orbit of semi-major axis \( a \) is \( T \). Then:
If the acceleration due to gravity on the surface of a planet is 2.5 times that on Earth and radius, 10 times that of the Earth, then the ratio of the escape velocity on the surface of a planet to that on Earth is:
For a smoothly running analog clock, the angular velocity of its second hand in rad s\(^{-1}\) is:
The radius of gyration of a circular disc of radius \( R \), rotating about its diameter is:

The kinetic energy of a body is increased by 21%. The percentage increase in its linear momentum is:

For a linear material, the relation between the relative magnetic permeability \( \mu_r \) and magnetic susceptibility \( \chi \) is:
An electric dipole of dipole moment \( p \) is kept in a uniform electric field \( E \) such that it is aligned parallel to the field. The energy required to rotate it by 45° is:
A stationary body of mass 5 g carries a charge of 5 $\mu$C. The potential difference with which it should be accelerated to acquire a speed of 10 m/s is:
A thin spherical shell of radius 12 cm is charged such that the potential on its surface is 60 V. Then the potential at the centre of the sphere is:
The equation of a stationary wave is given by \[ y = 5 \sin \frac{\pi}{2} \cos 10\pi t \, {cm} \] The distance between two consecutive nodes (in cm) is:
A particle is executing linear simple harmonic oscillation with an amplitude of \( A \). If the total energy of oscillation is \( E \), then its kinetic energy at a distance of \( 0.707A \) from the mean position is: