Practice questions
88551 published questions with worked solutions.
- If L_1 is the line of intersection of the planes 2x - 2y + 3z - 2 = 0, x - y + z + 1 = 0 and L_2 is the line of intersection of...
- If _ i=1 ^ 9 (x_i - 5) = 9 and _ i=1 ^ 9 (x_i - 5)^2 = 45, then the standard deviation of the 9 items x_1, x_2, , x_9 is :
- If sum of all the solutions of the equation 8 x ( ( 6 + x ) ( 6 - x ) - 1 2 ) = 1 in [0, ] is k , then k is equal to :Not in JEE Main syllabus
- PQR is a triangular park with PQ = PR = 200 m. A T.V. tower stands at the mid-point of QR. If the angles of elevation of the top...
- The Boolean expression (p q) ( p q) is equivalent to :Not in JEE syllabus
- A heating element has a resistance of 100 Ω at room temperature. When it is connected to a supply of 220 V, a steady current of 2...
- Two particles of the same mass are moving in circular orbits because of force, given by f(r) = -16 r - r^3 The first particle is...
- At some instant, a radioactive sample S_1 having an activity 5 µCi has twice the number of nuclei as another sample S_2 which has...
- A small soap bubble of radius 4 cm is trapped inside another bubble of radius 6 cm without any contact. Let P_2 be the pressure...
- The de-Broglie wavelength ( _B) associated with the electron orbiting in the second excited state of hydrogen atom is related to...
- A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angular...
- Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent light is I...
- A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns,...
- The percentage errors in quantities P, Q, R and S are 0.5 %, 1 %, 3 % and 1.5 % respectively in the measurement of a physical...
- An oscillator of mass M is at rest in its equilibrium position in a potential V = 1 2 k(x - X)^2. A particle of mass m comes from...
- Both the nucleus and the atom of some element are in their respective first excited states. They get de-excited by emitting...
- The end correction of a resonance column is 1 cm. If the shortest length resonating with the tuning fork is 10 cm, the next...
- The relative uncertainty in the period of a satellite orbiting around the earth is 10^ -2 . If the relative uncertainty in the...
- Two moles of helium are mixed with n moles of hydrogen. If C_P C_V = 3 2 for the mixture, then the value of n is -
- A particle executes simple harmonic motion and is located at x = a, b and c at times t_0, 2t_0 and 3t_0 respectively. The...