Practice questions
88551 published questions with worked solutions.
- If x^5e^ -4x^3 dx = 1 48 e^ -4x^3 f(x) + C, where C is a constant of integration, then f(x) is equal to:
- A helicopter is flying along the curve given by y - x^ 3/2 = 7, (x ≥ 0). A soldier positioned at the point ( 12, 7 ) wants to...
- A heat source at T = 10^3 K is connected to another heat reservoir at T = 10^2 K by a copper slab which is 1 m thick. Given that...
- A satellite is moving with a constant speed v in circular orbit around the earth. An object of mass 'm' is ejected from the...
- A TV transmission tower has a height of 140 m and the height of the receiving antenna is 40 m. What is the maximum distance up to...Not in JEE or NEET syllabus
- A train moves towards a stationary observer with speed 34 m/s. The train sounds a whistle and its frequency registered by the...
- To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force F and rotates it...
- A solid metal cube of edge length 2 cm is moving in a positive y-direction at a constant speed of 6 m/s. There is a uniform...
- In a Young's double slit experiment with slit separation 0.1 mm, one observes a bright fringe at angle 1 40 rad by using light of...
- The density of a material in SI units is 128 kg m^ -3 . In certain units in which the unit of length is 25 cm and the unit of...
- Using a nuclear counter the count rate of emitted particles from a radioactive source is measured. At t = 0 it was 1600 counts...
- A uniform metallic wire has a resistance of 18 Ω and is bent into an equilateral triangle. Then, the resistance between any two...
- A plano convex lens of refractive index _1 and focal length f_1 is kept in contact with another plano concave lens of refractive...
- In an electron microscope, the resolution that can be achieved is of the order of the wavelength of electrons used. To resolve a...
- A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force F. Assuming...
- A string of length 1 m and mass 5 g is fixed at both ends. The tension in the string is 8.0 N. The string is set into vibration...
- A 2 W carbon resistor is color coded with green, black, red and brown respectively. The maximum current which can be passed...
- If the magnetic field of a plane electromagnetic wave is given by (the speed of light = 3 10^ 8 m/s) B = 100 10^ -6 [2 2 10^ 15...
- A charge Q is distributed over three concentric spherical shells of radii a, b, c (a < b < c) such that their surface charge...
- A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At the same time, a bullet of mass 0.02 kg is...