Practice questions
88551 published questions with worked solutions.
- If the square of the shortest distance between the lines x-2 1 = y-1 2 = z+3 -3 and x+1 2 = y+3 4 = z+5 -5 is m n , where m, n...
- If I = _0^ /2 ^ 3/2 x ^ 3/2 x + ^ 3/2 x dx, then _0^ 2I x x x ^4 x + ^4 x dx, equals :
- _ x (2x^2 - 3x + 5)(3x-1)^ x/2 (3x^2+5x+4) (3x+2)^x is equal to:
- The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is...
- The variance of the numbers 8, 21, 34, 47, …, 320, is _____.
- The roots of the quadratic equation 3x^2 – px + q = 0 are 10th and 11th terms of an arithmetic progression with common difference...
- A ball having kinetic energy KE, is projected at an angle of 60° from the horizontal. What will be the kinetic energy of ball at...
- The refractive index of the material of a glass prism is 3 . The angle of minimum deviation is equal to the angle of the prism....
- The energy of a system is given as E(t) = ^3 e^ - t , where t is the time and = 0.3 s^ -1 . The errors in the measurement of and...
- In photoelectric effect an em-wave is incident on a metal surface and electrons are ejected from the surface. If the work...
- A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk. An external torque is...
- Match List-I with List-II. List-I: (A) Permeability of free space (B) Magnetic field (C) Magnetic moment (D) Torsional constant...
- If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the...
- A galvanometer having a coil of resistance 30 need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to...
- The width of one of the two slits in Young's double slit experiment is d while that of the other slit is xd. If the ratio of the...
- Assertion (A) : The binding energy per nucleon is found to be practically independent of the atomic number A, for nuclei with...
- Water of mass m gram is slowly heated to increase the temperature from T_1 to T_2. The change in entropy of the water, given...
- A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x direction. At a particular point in space and...
- A concave mirror of focal length f in air is dipped in a liquid of refractive index . Its focal length in the liquid will be :
- A massless spring gets elongated by amount x_1 under a tension of 5N. Its elongation is x_2 under the tension of 7N. For the...