List of top Questions asked in KEAM

Which of the following set of quantum numbers is possible?
10 g of alcohol is dissolved in 90 g of water. The percentage of alcohol in the solution is
When a diode is reverse biased
An intrinsic semiconductor at \( T = 0 \, {K} \) behaves like
The half-life period of a radioactive element is 2 days. If \( \frac{1}{32} \) part of the initial amount remains undecayed after a time \( t \), then the value of \( t \) in days is
The electron concentration \( n_e \) and hole concentration \( n_h \) in semiconductor are related to the number of intrinsic charge concentration \( n_i \) as
In a nuclear fusion process, the masses of the fusing nuclei are \( M_A \) and \( M_B \). Then the mass of the product nucleus \( M_C \) is related to \( M_A \) and \( M_B \) as
The particle which is expected to be emitted along with \( Y \) in the following nuclear reaction is \[ { }^{198}_{80}X \rightarrow { }^{197}_{79}Y + ? \]
The number of de Broglie waves associated with Bohr electron when it completes one revolution in its third orbit is
Young’s double-slit experiment is carried out by using green, red and blue lights, one at a time. The fringe widths recorded are \( \beta_G \), \( \beta_R \) and \( \beta_B \) respectively. Then
Electromagnetic waves of frequency \( 5 \times 10^{14} \, {Hz} \) lie in the
In an LCR series resonance circuit driven by the alternating voltage \( V = V_0 \sin \omega t \), inductance \( L = 1 \, \mu H \), capacitance \( C = 1 \, \mu F \) and resistance \( R = 1 \, k\Omega \). The resonant angular frequency (in rad/s) is:
An alternative form of Biot-Savart's law is
The ratio of radii of the circular paths of a proton and a deuteron when projected perpendicular to the direction of a uniform magnetic field with the same speed is

The energy stored in the capacitor after closing the key K is 

Two like charges kept in air medium experience a force \( F \), when they are separated by a certain distance \( r \). When the same charges are kept in a dielectric medium at the same distance of the separation, the force between them is 0.5F. The dielectric constant of the medium is
If \( E \) is the electric field intensity between the plates of a charged parallel plate capacitor, energy stored per unit volume in it is (permittivity of free space = \( \epsilon_0 \))
Speed of a transverse wave on a stretched string under tension \(T\) and linear density \(\mu\) is
A particle executes a linear SHM with an amplitude \(a\) and angular velocity \(\omega\). The ratio between its acceleration amplitude and displacement amplitude is
When the number of molecules per unit volume of an ideal gas is \( 0.8 \times 10^{24} \), the mean free path length for its molecules is \( 2.2 \times 10^{-5} \, {m} \). If the number of molecules per unit volume is \( 1.0 \times 10^{24} \), then the mean free path is
The work done by a gas on the system is zero in
If \( m_a \) and \( m_i \) are the slopes of the adiabatic and isothermal curves for an ideal gas, then \[ \left( \frac{c_p}{c_v} = \gamma \right) \]
The zeroth law of thermodynamics leads to the concept of
The elastic energy stored per unit volume in a stretched wire is: \[ \left( Y = \text{Young's modulus of the material of the wire}; \quad S = \text{stress acting on the wire} \right) \]
If the radii of two soap bubbles are respectively 2 cm and 3 cm, then the ratio of the excess pressures inside the soap bubbles is