An electric heater supplies heat to a system at a rate of 100W. If system performs work at a rate of 75 joules per second. At what rate is the internal energy increasing?

An electric heater supplies heat to a system at a rate or 100 W. If the system performs work at a rate of 75 joules per second at what rate is the internal energy increasing ?

One mole of a gaseous system absorbs 100 J of heat and does work equivalent to 50 . J . Calculate the change in the internal energy of the system.

A gas receives an amount of heat equal to 110 joules and performs 40 joules of work. The change in the internal energy of the gas is ………….. .

Tangent of an angle increases four times as the angle itself. At what rate the sine of the angle increases w.r.t. the angle?

A conducting wire ab of length l, resistance r and mass m starts sliding at t = 0 down a smooth, vertical, thick pair of connected rails as shown in . A uniform magnetic field B exists in the space in a diraction perpendicular to the plane of the rails. (a) Write the induced emf in the loop at an instant t when the speed of the wire is v. (b) what would be the magnitude and direction of the induced current in the wire? (c) Find the downward acceleration of the wire at this instant. (d) After sufficient time, the wire starts moving with a constant velocity. Find this velocity v_m. (e) Find the velocity of the wire as a function of time. (f) Find the displacement of the wire as a functong of time. (g) Show that the rate of heat developed inte wire is equal to the rate at which the gravitational potential energy is decreased after steady state is reached.

If we blow air into a balloon of spherical shape at a rate of 1000 cm^(3) per second. At what rate the radius of the balloon changes when the radius is 7cm? Also compute the rate at which the surface area changes .

A uranium rector develops thermal energy at a rate of 300 MW. Calculate the amount of U^235 being consumed every second .Average energy released per fission is 200 MeV.

A stone is dropped into a pond causing ripples in the form of concentric circles. The radius r of the outer ripple is increasing at a constant rate at 2 cm per second. When the radius is 5 cm find the rate of changing of the total area of the disturbed water?

A stone is dropped into a pond causing ripples in the form of concentric circles. The radius r of the outer ripple is increasing at a constant rate at 2 cm per second. When the radius is 5 cm find the rate of changing of the total area of the disturbed water?

A metal block of heat capacity 90J//.^(@)C placed in a room at 25^(@)C is heated electrically. The heater is switched off when the temperature reaches 35^(@)C . The temperature of the block rises at the rate of 2^(@)C//s just after the heater is switched on and falls at the rate of 0.2^(@)C//s just after the heater is switched off. Assume Newton's law of cooling to hold (a) Find the power of the heater. (b) Find the power radiated by the block just after the heater is switched off. (c ) Find the power radiated by the block when the temperature of the block is 30^(@)C . (d) Assuming that the power radiated at 30^(@)C respresents the average value in the heating process, find the time for which the heater was kept on.