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?

The radius of a spherical balloon is decreasing at the rate of 10 cm per second. At what rate is the surface area of the balloon decreasing when its radius is 15 cm?

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?

The internal energy of a system is U_(1) . In a process, work done by the system is W and heat accepted by the system is Q. At the end of the process, the internal energy of the system is

In a process, q cal heat is absorbed by a closed system. If work done by the system is w cal, then what will be the value of the change in internal energy (DeltaU) in this process?

In a certain process. 678 J of heat is absorbed by a system, while 294 J of work is done on the system. What is the change in the internal energy for the process?

A point is in motion along a hyperbola y=(10)/(x) so that its abscissa increases uniformly at a rate of 1 unit per second. Then, the rate of change of its ordinate, when the point passes through (5,2)

The present population of a town is 576000. If the rate of increase of population be 6 2/3% per annum, then what was the population of the twon before 2 years?

The present populatiion of a town is 16000. If the rate of increase of population be 5% per annum, then what will be the population of the town after 2 years?

An amount of work w is done by a system and q amount of heat is supplied to the system. By which of the following relation the change in internal energy of the system can be expressed?-