List of practice Questions

The angle of polarization of glass is 58° and that for water is 53°. The angle of polarization for glass in water is
The track shown in the figure is frictionless. The block B of mass 4 kg is lying at rest and block A of mass 2 kg is pushed along the track with some speed. The collision between A and B is perfectly elastic.With what velocity should the block A start such that block B just reaches at point P?
In the pure inductive circuit, the curves between frequency f and reciprocal of inductive reactance 1XL is:
A wave in a string has amplitude of 2 cm. The wave travels in the +ve direction of x axis with a speed of 128 ms−1 and it is noted that 5 complete waves fit in 4 m length of the string. The equation describing the wave is:
In an electromagnetic wave, the magnitude of electric and magnetic fields are 100 V/m and 0.265 A/m. The maximum energy flow is
A uniform solid sphere of radius R has a spherical hole or radius a in it. Find the position of its center of mass.
The equation of motion of system is given by mx¨+cx˙+kx=0. The damped vibration, ωd can be written as:
Two free protons are separated by a distance of 1 Å. If they are released, the kinetic energy of each proton when at infinite separation is
A 5V battery with internal resistance 2Ω and a 2V battery with internal resistance 1Ω are connected to a 10Ω resistor as shown in the figure. The current in the 10Ω resistor is
In a pond of water, a flame is held 2 m above the surface of water. A fish is at depth of 4 m from water surface. Refractive index of water is 43. The apparent height of the flame from the eyes of fish is:
In the Bohr model of the hydrogen atom, let R, V and E represent the radius of the orbit, speed of the electron and total energy of the electron respectively. Which of the following quantity is proportional to the quantum number n ?
Find the amount of work done in rotating a dipole of dipole moment 3×10−3 cm from its position of stable equilibrium to the position of unstable equilibrium, in a uniform electric field of intensity 104NC−1.
A current i is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure.The magnetic field at the centre of the loop is, μ0iR times
[ MA = R , MB = 2R, ∠DMA = 90°]
A vessel contains helium, which expands at constant pressure when 15 kJ of heat is supplied to it. The work performed (in kJ) in the expansion will be ______.

A galvanometer has a resistance of 96 Ω  and it is desired to pass 4% of the total current through it. The value of shunt resistance is ____?

The maximum amplitude of an amplitude-modulated wave is found to be 15V while its minimum amplitude is found to be 3V. The modulation index is:
As per the Bohr model, the minimum energy (in eV) required to remove an electron from the ground state of a double ionized Li atom (Z = 3) is
A car is moving with a uniform speed of 72 km/h. After applying brakes it stops after traveling 100 m distance. If its mass along with the passengers is 1000 kg, then the value of force due to the application of brakes will be in newton:

In a discharging RC circuit, at what time the electrical potential energy will become the half of its initial value? [in terms of time constant of RC circuit,]

The angle θ between the vectors a→=5i^−j^+k^ and b→=i^+j^−k^ is:
The rate of change of volume of a sphere with respect to its surface area when the radius is 4 cm is:
For any two statements p and q, the negation of the expression p∨(∼p∧q) is:
Find the equation of normal to the curvey=(1+x)y+sin−1⁡(sin2⁡x) at x=0
Let A=(02qrpq−rp−qr). If AAT=I3, then |p| is:
If A = {1, 2, 3, 4, 6} and R is a relation on A such that R = {(a, b) : a, b ∈ A and b is exactly divisible by a} then find the number of elements present in the range of R?