JEE Main questions
34495 published questions with worked solutions.
- If = ^ -1 ( 3 5 ), = ^ -1 ( 1 3 ), where 0 < , < 2 , then α − β is equal to:
- If S_1 and S_2 are respectively the sets of local minimum and local maximum points of the function, f(x) = 9x^4 + 12x^3 - 36x^2 +...
- Let A = pmatrix & - & pmatrix , (α ∈ R) such that A^ 32 = pmatrix 0 & -1 1 & 0 pmatrix . Then a value of α is:
- If α and β be the roots of the equation x^2 - 2x + 2 = 0, then the least value of n for which ( )^n = 1 is:
- The contrapositive of the statement "If you are born in India, then you are a citizen of India", is:Not in JEE syllabus
- In a line of sight radio communication, a distance of about 50 km is kept between the transmitting and receiving antennas. If the...Not in JEE or NEET syllabus
- Young's moduli of two wires A and B are in the ratio 7 : 4. Wire A is 2 m long and has radius R. Wire B is 1.5 m long and has...
- The electric field in a region is given by E = (Ax + B) i, where E is in NC^ -1 and x is in metres. The value of constants are A...
- A rocket has to be launched from earth in such a way that it never returns. If E is the minimum energy delivered by the rocket...
- In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured...
- A nucleus A, with a finite de-Broglie wavelength _A, undergoes spontaneous fission into two nuclei B and C of equal mass. B flies...
- The magnetic field of an electromagnetic wave is given by B = 1.6 10^ -6 (2 10^ 7 z + 6 10^ 15 t)(2 i + j) Wb m ^2 . The...
- A parallel plate capacitor has 1 μF capacitance. One of its two plates is given +2 μC charge and the other plate, +4 μC charge....
- A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines, are kept 80 cm...
- An electric dipole is formed by two equal and opposite charges q with separation d. The charges have same mass m. It is kept in a...
- A cell of internal resistance r drives current through an external resistance R. The power delivered by the cell to the external...
- Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength...
- A circuit connected to an ac source of emf e = e_0 (100t) with t in seconds, gives a phase difference of 4 between the emf e and...
- A body of mass m_1 moving with an unknown velocity of v_1 i, undergoes a collinear collision with a body of mass m_2 moving with...
- The ratio of mass densities of nuclei of ^ 40 Ca and ^ 16 O is close to: