Practice questions
88551 published questions with worked solutions.
- If the shortest distance between the lines x - 3 = y - 2 -1 = z - 1 1 and x + 2 -3 = y + 5 2 = z - 4 4 is 44 30 , then the...
- Let α, β be roots of x² + √2x − 8 = 0. If Uₙ = αⁿ + βⁿ, then U_ 10 + 2U_9 2U_8 is equal to _____.
- If the system of equations 2x + 7y + λz = 3, 3x + 2y + 5z = 4, x + μy + 32z = −1 has infinitely many solutions, then (λ − μ) is...
- If the solution y(x) of the given differential equation (eʸ + 1)cos x dx + eʸ sin x dy = 0 passes through the point ( 2, 0 ),...
- A particle of mass m with an initial velocity u i collides perfectly elastically with a mass 3m at rest. It moves with a velocity...
- A beam of protons with speed 4 10^5 ms ^ -1 enters a uniform magnetic field of 0.3 T at an angle of 60° to the magnetic field....
- Magnetic materials used for making permanent magnets (P) and magnets in a transformer (T) have different properties of the...Not in JEE Advanced syllabus
- The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is divided into 10 divisions and coincide...
- The mass density of a spherical galaxy varies as K r over a large distance 'r' from its centre. In that region, a small star is...
- Interference fringes are observed on a screen by illuminating two thin slits 1 mm apart with a light source ( = 632.8 nm). The...
- A plane electromagnetic wave, has frequency of 2.0 10^ 10 Hz and its energy density is 1.02 10^ -8 J/ m ^3 in vacuum. The...
- In a reactor, 2 kg of _ 92 U ^ 235 fuel is fully used up in 30 days. The energy released per fission is 200 MeV. Given that the...
- A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases to be ideal and the oxygen...
- If speed V, area A and force F are chosen as fundamental units, then the dimension of Young's modulus will be :
- An amplitude modulated wave is represented by the expression v_m=5(1+0.6 6280t) (211 10^4t) volts. The minimum and maximum...Not in JEE or NEET syllabus
- Two identical strings X and Z made of same material have tension T_X and T_Z in them. It their fundamental frequencies are 450 Hz...
- A 5 capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in series to another...
- An engine takes in 5 moles of air at 20°C and 1 atm, and compresses it adiabaticaly to 1/10th of the original volume. Assuming...
- A circular coil of radius 10 cm is placed in a uniform magnetic field of 3.0 10^ -5 T with its plane perpendicular to the field...
- When radiation of wavelength is used to illuminate a metallic surface, the stopping potential is V. When the same surface is...