Physics

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

The net impedance of circuit (as shown in figure) 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)

Kindly consider the following 

Metallic disc of inner radius R and outer radius 2R is rotating with an angular speed ω. What will be the electric potential difference that appears between the inner and outer periphery. The mass of electrons is m and charge is e.

A wire carrying a current I along the positive x-axis has length L. It is kept in a magnetic field $\stackrel{?}{B}=(2\hat{i}+3\hat{j}-4\hat{k})$  T. The magnitude of the magnetic force acting on the wire is:

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

A very long conducting wire is bent in a semi-circular shape from A to B as shown in figure. The magnetic field at point P for steady current configuration is given by:

10 resistors, each of resistance R are connected in series to a battery of emf E and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased n times. The value of n is: