Practice questions
90175 published questions with worked solutions.
- A coin is tossed 8 times. If the probability that exactly 4 heads appear in the first six tosses and exactly 3 heads appear in...
- Consider the parabola P : y² = 4kx and the ellipse E : x^2 a^2 + y^2 b^2 =1. Let the line segment joining the points of...
- If A = 3° 9° + 9° 27° + 27° 81° and B = 81° - 3°, then BA is equal to _______.
- The number of points, at which the function f(x) = 6x, 2+3x^2 + |x-1| | |x^2- 14 | |, x ∈ (−π, π), is not differentiable, is...
- The increase in the pressure required to decrease the volume (ΔV) of water is 6.3 × 10⁷ N/m². The percentage decrease in the...
- The time taken by a block of mass m to slide down from the highest point to the lowest point on a rough inclined plane is 50%...
- Two nuclei of mass number 3 combine with another nucleus of mass number 4 to yield a nucleus of mass number 10. If the binding...
- A solid sphere of mass M and radius R is divided into two unequal parts. The smaller part having mass M/8 is converted into a...
- Two projectiles are projected with the same initial velocities at the 15° and 30° with respect to the horizontal. The ratio of...
- A string A of length 0.314 m and Young's modulus 2 × 10¹⁰ N/m² is connected to another string B of length and Young's modulus...
- One gas of n₁ mole of molecules at temperature T₁, volume V₁, and pressure P₁, and another gas of n₂ mole of molecules at...
- A voltmeter with internal resistance of x Ω can be used to measure upto 20 V. In order to increase its measuring range to 30 V,...
- A parallel plate air capacitor is connected to a battery. The plates are pulled apart at uniform speed v. If x is the separation...
- A telescope with objective diameter R is used to observe a distant star emitting light of wavelength 500 nm, at a resolution of 5...
- A 1 kg block subjected to two simultaneous forces (2î+3ĵ+4k̂) N and (3î−ĵ−2k̂) N is moved a distance of 25 m along (3î−4ĵ)...
- The surface tension of a soap solution is 3.5 × 10⁻² N/m. The work required to increase the radius of a soap bubble from 1 cm to...
- The velocity of a particle executing simple harmonic motion along x-axis is described as v² = 50 − x², where x represents...
- A body of mass 2 kg begins to move under the influence of time dependent force F = (2t i + 6t^2 j) N, where î and ĵ are unit...
- An inductor of 10 mH, capacitor of 0.1 μF and a resistor of 100 Ω are connected in series across an a.c power supply 220 V, 70...
- Which of the following is correct set of 4 quantum numbers of 19th electron in Chromium (Atomic number = 24) in accordance with...