Practice questions
88551 published questions with worked solutions.
- If _ - /2 ^ /2 8 2 x ,dx (1 + e^ x )(1 + ^4x) = + _e(3 + 2 2) where α, β are integers, then α² + β² equals_____.
- If the coefficient of x^ 30 in the expansion of (1 + 1x )^6(1 + x^2)^7(1 - x^3)^8; x ≠ 0 is α, then |α| equals_______.
- Let the line L : 2x + y = pass through the point of the intersection P (in the first quadrant) of the circle x^2 + y^2 = 3 and...
- Let the line of the shortest distance between the lines L_1 : r = ( i + 2 j + 3 k) + ( i - j + k) and L_2 : r = (4 i + 5 j + 6 k)...
- The magnetic moment of a bar magnet is 0.5 Am^2. It is suspended in a uniform magnetic field of 8 × 10^ -2 T. The work done in...Not in JEE Advanced syllabus
- Arrange the following in the ascending order of wavelength: (A) Gamma rays (1) (B) x-ray (2) (C) Infrared waves (3) (D)...
- Correct formula for height of a satellite from earths surface is:
- Given below are two statements: Statement I: The contact angle between a solid and a liquid is a property of the material of the...
- An electric bulb rated 50 W – 200 V is connected across a 100 V supply. The power dissipation of the bulb is:
- A 2 kg brick begins to slide over a surface which is inclined at an angle of 45° with respect to horizontal axis. The...
- In simple harmonic motion, the total mechanical energy of given system is E. If mass of oscillating particle P is doubled then...
- Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Number of...
- A sample of gas at temperature T is adiabatically expanded to double its volume. Adiabatic constant for the gas is γ = 3/2. The...
- Applying the principle of homogeneity of dimensions, determine which one is correct. where T is time period, G is gravitational...
- A 90 kg body placed at 2R distance from surface of earth experiences gravitational pull of: (R = Radius of earth, g = 10 ms^ -2 )
- The displacement of a particle executing SHM is given by x = 10 ( t + 3 ) m. The time period of motion is 3.14 s. The velocity of...
- A bus moving along a straight highway with speed of 72 km/h is brought to halt within 4s after applying the brakes. The distance...
- A parallel plate capacitor of capacitance 12.5 pF is charged by a battery connected between its plates to potential difference of...
- In a system two particles of masses m_1 = 3kg and m_2 = 2kg are placed at certain distance from each other. The particle of mass...
- The disintegration energy Q for the nuclear fission of ^ 235 U → ^ 140 Ce + ^ 94 Zr + n is ____MeV. Given atomic masses of ^ 235...