Practice questions
88551 published questions with worked solutions.
- Let f: R R be a differentiable function satisfying f'(3) + f'(2) = 0. Then _ x 0 ( 1 + f(3+x) - f(3) 1 + f(2-x) - f(2) )^ 1/x is...
- Let the numbers 2, b, c be in an A.P. and A = bmatrix 1 & 1 & 1 2 & b & c 4 & b^2 & c^2 bmatrix . If det(A) ∈ [2, 16], then c...
- Two vertical poles of heights, 20 m and 80 m stand apart on a horizontal plane. The height (in meters) of the point of...
- For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at 127ºC. At 2 atm pressure and at 227ºC, the rms speed...
- A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic energy as a function...
- The pressure wave, P = 0.01 [1000t - 3x] Nm^ -2 , corresponds to the sound produced by vibrating blade on a day when atmospheric...
- The stream of a river is flowing with a speed of 2 km/h. A swimmer can swim at a speed of 4 km/h. What should be the direction of...
- A uniform cable of mass 'M' and length 'L' is placed on a horizontal surface such that its ( 1 n )^ th part is hanging below the...
- A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction, is kept...
- The electric field of light wave is given as E = 10^ -3 ( 2 x 5 10^ -7 - 2 6 10^ 14 t ) x N C . This light falls on a metal plate...
- A moving coil galvanometer has resistance 50 Ω and it indicates full deflection at 4 mA current. A voltmeter is made using this...
- Taking the wavelength of first Balmer line in hydrogen spectrum (n = 3 to n = 2) as 660 nm, the wavelength of the 2nd Balmer line...
- If 'M' is the mass of water that rises in a capillary tube of radius 'r', then mass of water which will rise in a capillary tube...
- The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting the...
- A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to...
- A capacitor with capacitance 5 μF is charged to 5 μC. If the plates are pulled apart to reduce the capacitance to 2 μF, how much...
- A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The...
- A body of mass 2 kg makes an elastic collision with a second body at rest and continues to move in the original direction but...
- A signal A cos ωt is transmitted using _0 _0t as carrier wave. The correct amplitude modulated (AM) signal is:Not in JEE or NEET syllabus
- A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y = 0.3...