JEE Advanced questions
3844 published questions with worked solutions.
- A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoelectrons...
- If _ Cu is the wavelength of K_ X-ray line of copper (atomic number 29) and _ Mo is the wavelength of the K_ X-ray line of...
- A planet of radius R = 1 10 (radius of Earth) has the same mass density as Earth. Scientists dig a well of depth R 5 on it and...
- Hydrogen peroxide in its reaction with KIO_4 and NH_2OH respectively, is acting as a
- For the identification of β-naphthol using dye test, it is necessary to use
- For the elementary reaction M → N, the rate of disappearance of M increases by a factor of 8 upon doubling the concentration of...
- Assuming 2s-2p mixing is NOT operative, the paramagnetic species among the following is
- Match each coordination compound in List-I with an appropriate pair of characteristics from List-II and select the correct answer...
- The following integral _ 4 ^ 2 (2 , cosec ,x)^ 17 ,dx is equal to
- Coefficient of x^ 11 in the expansion of (1 + x^2)^4(1 + x^3)^7(1 + x^4)^ 12 is
- The common tangents to the circle x^2 + y^2 = 2 and the parabola y^2 = 8x touch the circle at the points P, Q and the parabola at...
- For x ∈ (0, π), the equation sin x + 2 sin 2x − sin 3x = 3 hasNot in JEE Main syllabus
- In a triangle the sum of two sides is x and the product of the same two sides is y. If x^2 - c^2 = y, where c is the third side...Not in JEE syllabus
- Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains...
- Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at least one more than...
- The quadratic equation p(x) = 0 with real coefficients has purely imaginary roots. Then the equation p(p(x)) = 0 has
- Let z_k = ( 2k 10 ) + i ( 2k 10 ); k = 1, 2, …, 9. List I P. For each z_k there exists a z_j such that z_k z_j = 1 Q. There...
- List I P. The number of polynomials f(x) with non-negative integer coefficients of degree ≤ 2, satisfying f(0) = 0 and _0^1f(x)...
- List I P. Let y(x) = (3 ^ -1 x), x ∈ [−1, 1], x 3 2 . Then 1 y(x) (x^2 - 1) d^2y(x) dx^2 + x dy(x) dx equals Q. Let A_1, A_2, ,...
- Let f_1 : R R , f_2 : [0, ) R , f_3 : R R and f_4 : R [0, ) be defined by f_1(x) = cases |x| & if x < 0, e^x & if x 0; cases...