Practice questions
88551 published questions with worked solutions.
- If λ be the ratio of the roots of the quadratic equation in x, 3m^2x^2 + m(m - 4)x + 2 = 0, then the least value of m for which +...
- Let P(4, −4) and Q(9, 6) be two points on the parabola, y^2 = 4x and let X be any point on the arc POQ of this parabola, where O...
- Consider three boxes, each containing 10 balls labelled 1, 2, …, 10. Suppose one ball is randomly drawn from each of the boxes....
- In a double-slit experiment, green light (5303 Å) falls on a double slit having a separation of 19.44 μm and a width of 4.05 μm....
- A simple pendulum of length 1 m is oscillating with an angular frequency 10 rad/s. The support of the pendulum starts oscillating...
- An electric field of 1000 V/m is applied to an electric dipole at angle of 45°. The value of electric dipole moment is 10^ -29...
- Two rods A and B of identical dimensions are at temperature 30°C. If A is heated up to 180°C and B up to T°C, then the new...
- When 100 g of a liquid A at 100°C is added to 50 g of a liquid B at temperature 75°C, the temperature of the mixture becomes...
- A thermometer graduated according to a linear scale reads a value x_0 when in contact with boiling water, and x_0/3 when in...
- In a photoelectric experiment, the wavelength of the light incident on a metal is changed from 300 nm to 400 nm. The decrease in...
- A pendulum is executing simple harmonic motion and its maximum kinetic energy is K_1. If the length of the pendulum is doubled...
- The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of simple...
- A paramagnetic substance in the form of a cube with sides 1 cm has a magnetic dipole moment of 20 10^ -6 J/T when a magnetic...Not in JEE Advanced syllabus
- A metal ball of mass 0.1 kg is heated up to 500°C and dropped into a vessel of heat capacity 800 JK^ -1 and containing 0.5 kg...
- A particle of mass m is moving in a straight line with momentum p. Starting at time t = 0, a force F = kt acts in the same...
- A 27 mW laser beam has a cross-sectional area of 10 mm^2. The magnitude of the maximum electric field in this electromagnetic...
- A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the...
- In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation is λ. If an...
- A particle of mass m and charge q is in an electric and magnetic field given by E = 2 i + 3 j; B = 4 j + 6 k. The charged...
- If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young's modulus will be: