JEE Main questions
34495 published questions with worked solutions.
- If y = ( x + 1)(x^2 - x) x x + x + x + 1 15 (3 ^2x - 5) ^3x, then 96 ,y' ( 6 ) is equal to ______.
- Let a = i + j + k, b = - i - 8 j + 2 k and c = 4 i + c_2 j + c_3 k, be three vectors such that b a = c a. If the angle between...
- If dx dy = 1 + x - y^2 y , x(1) = 1, then 5x(2) is equal to ______.
- Let f : (0, ∞) → R and F(x) = _0^xtf(t)dt. If F(x^2) = x^4 + x^5, then _ r=1 ^ 12 f(r^2) is equal to __________ .
- Three points O(0, 0), P(a, a²), Q(−b, b²), a > 0, b > 0, are on the parabola y = x². Let S_1 be the area of the region bounded by...
- A particle moving in a circle of radius R with uniform speed takes time T to complete one revolution. If this particle is...
- Two identical capacitors have same capacitance C. One of them is charged to the potential V and other to the potential 2V. The...
- A galvanometer has a resistance of 50 Ω and it allows maximum current of 5 mA. It can be converted into voltmeter to measure upto...
- A ball of mass 0.5 kg is a string of length 50 cm. The ball is rotated on a horizontal circular path about its vertical axis. The...
- The dimensional formula of angular impulse is:
- The pressure and volume of an ideal gas are related as PV^ 3/2 = K (Constant). The work done when the gas is taken from state...
- With rise in temperature, the Young's modulus of elasticity:
- Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume...
- A simple pendulum of length 1 m has a wooden bob of mass 1 kg. It is struck by a bullet of mass 10^ -2 kg moving with a speed of...
- A parallel plate capacitor has a capacitance C = 200 pF. It is connected to 230 V ac supply with an angular frequency 300 rad/s....
- In series LCR circuit, the capacitance is changed from C to 4C. To keep the resonance frequency unchanged, the new inductance...
- If R is the radius of the earth and the acceleration due to gravity on the surface of earth is g = π^2 m/s^2, then the length of...
- A monochromatic light of wavelength 6000 Å is incident on the single slit of width 0.01 mm. If the diffraction pattern is formed...
- 10 divisions on the main scale of a Vernier caliper coincide with 11 divisions on the Vernier scale. If each division on the main...
- The radius (r), length ( ) and resistance (R) of a metal wire was measured in the laboratory as r = (0.35 ± 0.05) cm, R = (100 ±...