Practice questions
88551 published questions with worked solutions.
- For three events A, B and C, P (Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P(Exactly one of C or A occurs)...
- If two different numbers are taken from the set 0, 1, 2, 3, ……, 10 , then the probability that their sum as well as absolute...
- If 5( ^2x - ^2x) = 2 2x + 9, then the value of cos4x is :
- Let a vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that...
- The following statement (p q) [( p q) q] is :Not in JEE syllabus
- The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative...
- A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the n^ th...
- A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A...
- The mass of a hydrogen molecule is 3.32 10^ -27 kg. If 10^ 23 hydrogen molecules strike, per second, a fixed wall of area 2 cm²...
- A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 10^ 12 /sec. What is the...
- A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is...
- Three concentric metal shells A, B and C of respective radii a, b and c (a < b < c) have surface charge densities + , - and +...
- A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20 V. If a dielectric material of dielectric...
- In an a.c. circuit, the instantaneous e.m.f. and current are given by e = 100 30t, i = 20 (30t - 4 ) In one cycle of a.c., the...
- Two batteries with e.m.f. 12 V and 13 V are connected in parallel across a load resistor of 10 Ω. The internal resistances of the...
- An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii r_e, r_p, r_...
- The dipole moment of a circular loop carrying a current I, is m and the magnetic field at the centre of the loop is B_1. When the...
- An EM wave from air enters a medium. The electric fields are E _1 = E_ 01 x [2 ( z c -t ) ] in air and E _2 = E_ 02 x [k(2z-ct)]...
- Unpolarized light of intensity I passes through an ideal polarizer A. Another identical polarizer B is placed behind A. The...
- The angular width of the central maximum in a single slit diffraction pattern is 60°. The width of the slit is 1 µm. The slit is...