Practice questions
88551 published questions with worked solutions.
- Let d ∈ R, and A = bmatrix -2 & 4 + d & ( ) - 2 1 & ( ) + 2 & d 5 & (2 ) - d & (- ) + 2 + 2d bmatrix , θ ∈ [0, 2π]. If the...
- Let f(x) = cases |x|, x^2 , & |x| 2 8 - 2|x|, & 2 < |x| 4 cases . Let S be the set of points in the interval (−4, 4) at which f...
- If the third term in the binomial expansion of (1 + x^ _2x )^5 equals 2560, then a possible value of x is:
- Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by ρ(r) = kr, where r is the distance...
- A Carnot engine has an efficiency of 1/6. When the temperature of the sink is reduced by 62ºC, its efficiency is doubled. The...
- A plane electromagnetic wave having a frequency ν = 23.9 GHz propagates along the positive z-direction in free space. The peak...
- One kg of water, at 20ºC, is heated in an electric kettle whose heating element has a mean (temperature averaged) resistance of...
- In an amplitude modulator circuit, the carrier wave is given by, C(t) = 4 sin(20000πt) while modulating signal is given by, m(t)...Not in JEE or NEET syllabus
- The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the...
- A system of three polarizers P_1, P_2, P_3 is set up such that the pass axis of P_3 is crossed with respect to that of P_1. The...
- A moving coil galvanometer, having a resistance G, produces full scale deflection when a current I_g flows through it. This...
- A solid sphere, of radius R acquires a terminal velocity v_1 when falling (due to gravity) through a viscous fluid having a...
- Two sources of sound S_1 and S_2 produce sound waves of same frequency 660 Hz. A listener is moving from source S_1 towards S_2...
- A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound (v) in air by resonance tube method....
- The ratio of the weights of a body on the Earth's surface to that on the surface of a planet is 9 : 4. The mass of the planet is...
- Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum...
- Among the following, the INCORRECT statement about colloids is:Not in JEE Main or NEET syllabus
- An 'Assertion' and a 'Reason' are given below. Choose the correct answer from the following options: Assertion (A): Vinyl halides...
- Among the following, the energy of 2s orbital is lowest in:
- The decreasing order of electrical conductivity of the following aqueous solutions is: 0.1 M Formic acid (A), 0.1 M Acetic acid...