The efficiency of a Carnot engine is `frac(1)(6)` when temperature if the sink decrease by `65 K` its efficiency becomes `frac(1)(3)`. Calculate the initial and final temperature.

In a Carnot engine temperature of the source and sink is 500 K and 375 K. The engine can absorb 600 kcal heat in one cycle. Calculate the efficiency and work done in a cycle.

Find the efficiency of a carnot's engine that works between the temperature 427 degree C and 27 degree C of the source and the sink respectively . If the 140 calories of heat are absorbed from the source by the engine in one cycle calculate the heat rejected into the sink .

The temperature of source and sink of a carnot engine are 400K and 300k respectively its efficiecy is

The co-efficient of line expansion brass is 2*10^-5°C^-1 , By how much the temperature of a brass rod be increased so as increase its length by 4%.

The denominator of a rational number is greater than its numerator by 8. If the numberator is increased by 17 and the denominator is decreased by 1, the number obtained is frac(3)(2) . Find the rational number.

An object of mass 100 kg is accelerated uniformly from a velocity of 5 m s^-1 to 8m s^-1 in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

Three moles of an ideal gas at a constant temperature of 300 K is compressed from a volume of 4 litres to 1 litre. Calculate the work done in the process. Given R=8.31 Jmol^-1K^-1 .

A steel tape 1m long is correctly calibrated for a temperature of 27.0 ^@C . The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 ^@C . What is the actual length of the steel rod on that day? What Is the length of the same steel rod on a day when the temperature is 27.0 ^@C ? Coefficient of linear expansion of steel = 1.20xx10^-5 K^-1 .

An engine of weight one metric ton is going up an inclined plane ,making an angle 30°with the horizental at the rate of 36 Km h^-1 .If the co-efficient of frinction is 0.6.calculate the power of engine in KW

The radius of the Moon is frac(1)(4)^th the radius of the earth and its mass is frac(1)(96)^th the mass of the earth. If the escape velocity from the surface of the earth is 11.2k ms^(-1) , find the escape velocity from the surface of the Moon.