Practice questions
88551 published questions with worked solutions.
- Which of the following points lies on the tangent to the curve x^4e^y+2 y+1 =3 at the point (1, 0) ?
- The statement (p (q p)) (p (p q)) is:Not in JEE syllabus
- If L= ^2 ( 16 )- ^2 ( 8 ) and M= ^2 ( 16 )- ^2 ( 8 ), then :
- In a bombing attack, there is 50% chance that a bomb will hit the target. At least two independent hits are required to destroy...
- Let A = a, b, c and B = 1, 2, 3, 4 . Then the number of elements in the set C = f : A → B | 2 ∈ f(A) and f is not one-one is...
- The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^6 in power of x, is __________ .
- If the lines x + y = a and x – y = b touch the curve y=x^2-3x+2 at the points where the curve intersects the x-axis, then a b is...
- Let the vectors a , b , c be such that | a |=2, | b |=4 and | c |=4. If the projection of b on a is equal to the projection of c...
- An AC circuit has R = 100 , C = 2 and L = 80 mH, connected in series. The quality factor of the circuit is -
- You are given that mass of ^7_3Li = 7.0160 u, mass of ^4_2He = 4.0026 u, and mass of ^1_1H = 1.0079 u. When 20 g of ^7_3Li is...
- An object of mass m is suspended at the end of a massless wire of length L and area of cross-section, A. Young modulus of the...
- Molecules of an ideal gas are knows to have three translational degrees of freedom and two rotational degrees of freedom. The gas...
- An insect is at the bottom of a hemispherical ditch of radius 1m. It crawls up the ditch but starts slipping after it is at...
- A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to...
- A particle of charge q and mass m is moving with a velocity v i (v > 0) towards a large screen placed in the Y–Z plane at a...
- A point like object is placed at a distance of 1 m in front of a convex lens of focal length 0.5 m. A plane mirror is placed at a...
- An electron is moving along +x direction with a velocity of 6 10^6 ms ^ -1 . It enters a region of uniform electric field of 300...
- If the potential energy between two molecules is given by U=- A r^6 + B r^ 12 , then at equilibrium, separation between...
- An electron, doubly ionized helium ion (He^ ++ ) and a proton are having the same kinetic energy. The relation between their...
- A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in units of ms...