Class 11th

For an SHM oscillator, the amplitude is 5 cm and its time period is 4 seconds. The minimum time taken by the particle to pass between points which are at distances 4 cm and 3 cm from the centre of oscillation on the same side of it will be

A vertical cylindrical vessel contains a half litre of water having column height of 60 cm. If the density and bulk modulus of water are 10³ kg m^-3 and 2 * 10⁹ N m^-2 respectively, then the elastic deformation potential energy (approximately) of water, is

A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this particle were projected with the same speed at an angle ' θ ' to the horizontal, the maximum height attained by it equals 4R. The angle of projection. θ, is then given by:

An ideal gas undergoes a thermodynamic process in which internal energy (U) of the gas depends on pressure (P) of the gas as U = aP⁴, where a is a positive constant. Assuming gas to be monoatomic, the molar heat capacity of the gas for given process will be

Two sources of sound emitting sound of nearly equal wavelengths λ₁ and λ₂ are fixed at A and B respectively. A listener moves with velocity u on the perpendicular bisector of line joining A and B. Then the number of beats heard by him per second when it is at distance 2l from A and B, is (Speed of sound = C)

A planet is revolving around the sun in an elliptical orbit. The mass of planet is m, angular momentum of planet about sun is L, and length of semi major axis is a and eccentricity is e. Time period of revolution of planet is given by

What is tautomerism?

The x-t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at t=2 is:

A satellite is orbiting just above the surface of the earth with period T. If d is the density of the earth and G is the universal constant of gravitation, the quantity $\frac{3\pi }{\mathrm{G}\mathrm{d}}$  represents:

A bullet from a gun is fired on a rectangular wooden block with velocity $u$ . When bullet travels 24cm through the block along its length horizontally, velocity of bullet become $\frac{u}{3}$ . Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is: