Practice questions
88551 published questions with worked solutions.
- If the two lines x + (a − 1)y = 1 and 2x + a^2y = 1 (a ∈ R − 0, 1 ) are perpendicular, then the distance of their point of...
- The area (in sq. units) of the region A = (x, y) : y^2 2 x y + 4 is:
- A message signal of frequency 100 MHz and peak voltage 100 V is used to execute amplitude modulation on a carrier wave of...Not in JEE or NEET syllabus
- A cylinder with fixed capacity of 67.2 lit contains helium gas at STP. The amount of heat needed to raise the temperature of the...
- A stationary source emits sound waves of frequency 500 Hz. Two observers moving along a line passing through the source detect...
- The electric field of a plane electromagnetic wave is given by E = E_0 i (kz) ( t). The corresponding magnetic field B is then...
- A transformer consisting of 300 turns in the primary and 150 turns in the secondary gives output power of 2.2 kW. If the current...
- In a photoelectric effect experiment the threshold wavelength of light is 380 nm. If the wavelength of incident light is 260 nm,...
- The ratio of surface tensions of mercury and water is given to be 7.5 while the ratio of their densities is 13.6. Their contact...
- A proton, an electron, and a helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field...
- A particle of mass m is moving along a trajectory given by x = x_0 + a _1t, y = y_0 + b _2t. The torque, acting on the particle...
- The value of acceleration due to gravity at Earth's surface is 9.8 ms^ -2 . The altitude above its surface at which the...
- A ball is thrown upward with an initial velocity V_0 from the surface of the earth. The motion of the ball is affected by a drag...
- A uniformly charged ring of radius 3a and total charge q is placed in xy-plane centred at origin. A point charge q is moving...
- n moles of an ideal gas with constant volume heat capacity C_V undergo an isobaric expansion by certain volume. The ratio of the...
- Two radioactive materials A and B have decay constants 10λ and λ, respectively. If initially they have the same number of nuclei,...
- The displacement of a damped harmonic oscillator is given by x(t) = e^ -0.1t (10 t + ). Here t is in seconds. The time taken for...
- Amylopectin is composed of:
- Consider the hydrated ions of Ti^ 2+ , V^ 2+ , Ti^ 3+ , and Sc^ 3+ . The correct order of their spin-only magnetic moments is:
- Consider the statements S1 and S2: S1: Conductivity always increases with decrease in the concentration of electrolyte. S2: Molar...