JEE Advanced questions
829 published questions with worked solutions.
- The filament of a light bulb has surface area 64 mm ^2. The filament can be considered as a black body at temperature 2500 K...
- Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical...
- Put a uniform meter scale horizontally on your extended index fingers with the left one at 0.00 cm and the right one at 90.00 cm....
- Consider one mole of helium gas enclosed in a container at initial pressure P_1 and volume V_1. It expands isothermally to volume...
- A stationary tuning fork is in resonance with an air column in a pipe. If the tuning fork is moved with a speed of 2 ms ^ -1 in...
- A circular disc of radius R carries surface charge density (r) = _0 (1 - r R ), where _0 is a constant and r is the distance from...
- A colorless aqueous solution contains nitrates of two metals, **X** and **Y**. When it was added to an aqueous solution of NaCl,...
- With respect to hypochlorite, chlorate and perchlorate ions, choose the correct statement(s).
- Consider a 70% efficient hydrogen-oxygen fuel cell working under standard conditions at 1 bar and 298 K. Its cell reaction is H...
- Suppose a, b denote the distinct real roots of the quadratic polynomial x^2 + 20x - 2020 and suppose c, d denote the distinct...
- Let the functions f: R R and g: R R be defined by f(x) = e^ x-1 - e^ -|x-1| and g(x) = 1 2 (e^ x-1 + e^ 1-x ). Then the area of...
- Let a, b and be positive real numbers. Suppose P is an end point of the latus rectum of the parabola y^2 = 4 x, and suppose the...
- Let C_1 and C_2 be two biased coins such that the probabilities of getting head in a single toss are 2 3 and 1 3 , respectively....
- Consider all rectangles lying in the region (x, y) R R : 0 x 2 and 0 y 2 (2x) and having one side on the x-axis. The area of the...
- Let M be a 3 3 invertible matrix with real entries and let I denote the 3 3 identity matrix. If M^ -1 = adj ( adj M), then which...
- Let S be the set of all complex numbers z satisfying |z^2 + z + 1| = 1. Then which of the following statements is/are TRUE?
- Let x, y and z be positive real numbers. Suppose x, y and z are the lengths of the sides of a triangle opposite to its angles X,...
- Let L_1 and L_2 be the following straight lines. L_1: x-1 1 = y -1 = z-1 3 and L_2: x-1 -3 = y -1 = z-1 1 . Suppose the straight...
- Let m be the minimum possible value of _3(3^ y_1 + 3^ y_2 + 3^ y_3 ), where y_1, y_2, y_3 are real numbers for which y_1 + y_2 +...
- Let a_1, a_2, a_3, be a sequence of positive integers in arithmetic progression with common difference 2. Also, let b_1, b_2,...