List of top Questions asked in KEAM

Five cells each of emf E and internal resistance \(r\) send the same amount of current through an external resistance R whether the cells are connected in parallel or in series. Then the ratio \( \left( \frac{R}{r} \right) \) is

A point charge of 2 C experiences a constant force of 1000 N when moved between two points separated by a distance of 2 cm in a uniform electric field. The potential difference between the two points is

In the network shown below, if potential across XY is 4 V, then the input potential across AB is

The power dissipated in the transmission cables carrying current I and voltage V is inversely proportional to

A rigid container with thermally insulated walls contains a gas and a coil of resistance 50 \(\Omega\), carrying a current of 1 A. The change in internal energy of the gas after 2 minutes will be

A plane square sheet of charge of side 0.5 m has uniform surface charge density. An electron at 1 cm from the centre of the sheet experiences a force of \( 1.6 \times 10^{-12} \) N directed away from the sheet. The total charge on the plane square sheet is (\( \epsilon_0 = 8.854 \times 10^{-12} \text{ C}^2\text{m}^{-2}\text{N}^{-1} \))

The time period of revolution of a charge \(q_1\) and of mass \(m\) moving in a circular path of radius \(r\) due to Coulomb force of attraction with another charge \(q_2\) at its centre is

Pick out the correct statement in the following with reference to stationary wave pattern

The energy stored in a capacitor of capacitance C having a charge Q under a potential V is

The electrostatic force between two point charges is directly proportional to the

The total energy of the particle executing simple harmonic motion of amplitude A is 100 J. At a distance of 0.707 A from the mean position, its kinetic energy is

If the differential equation for a simple harmonic motion is \( \frac{d^2y}{dt^2} + 2y = 0 \), the time-period of the motion is

Identify the wrong statement from the following

Two travelling waves, \( y_1 = A \sin [ k ( x + ct ) ] \) and \( y_2 = A \sin [ k ( x - ct ) ] \) are superposed on a string. The distance between adjacent antinodes is

If a stretched wire is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respectively

A spring stores 1 J of energy for a compression of 1 mm. The additional work to be done to compress it further by 1 mm is

A Carnot engine operating between temperatures \(T_1\) and \(T_2\) has efficiency 0.2. When \(T_2\) is reduced by 50 K, its efficiency increases to 0.4. Then \(T_1\) and \(T_2\) are respectively

If \(m\) represents the mass of each molecule of a gas and \(T\), its absolute temperature, then the root mean square velocity of the gaseous molecule is proportional to

A molecule of a gas has six degrees of freedom. Then the molar specific heat of the gas at constant volume is

Total number of degrees of freedom of a rigid diatomic molecule is

The total energy of an artificial satellite of mass \(m\) revolving in a circular orbit around the earth with a speed \(v\) is

Two soap bubbles each with radius \(r_1\) and \(r_2\) coalesce in vacuum under isothermal conditions to form a bigger bubble of radius \(R\). Then \(R\) is equal to

A boy can reduce the pressure in his lungs to 750 mm of mercury. Using a straw he can drink water from a glass upto the maximum depth of (atmospheric pressure = 760 mm of mercury; density of mercury = \(13.6 \text{ gcm}^{-3}\))

The ratio of hydraulic stress to the corresponding strain is known as

If a body of mass \(m\) has to be taken from the surface of earth to a height \(h = R\), then the amount of energy required is (\(R\): radius of earth)