PART - 1 CH - 6 System of Particles and Rotational Motion — Physics STD 11 Science — Question

An insulated container containing monoatomic gas of molar mass m is moving with a velocity v₀. If the container is suddenly stopped, find the change in temperature.

In vector combination, commutative and associative rules are followed. Explain.

An ideal gas is kept in a long cylindrical vessel fitted with a frictionless piston of cross-sectional area 10cm² and weight 1kg. The length of the gas column in the vessel is 20cm. The atmospheric pressure is 100kPa. The vessel is now taken into a spaceship revolving round the earth as a satellite. The air pressure in the spaceship is maintained at 100kPa. Find the length of the gas column in the cylinder.

At what temperature is the root mean square speed of oxygen atom equal to the r.m.s. speed of helium gas atom at -10°C? Atomic mass of oxygen = 32 and that of helium = 4.0.

Suppose the friction coefficient between the ground and the ladder of the previous problem is 0.540. Find the maximum weight of a mechanic who could go up and do the work from the same position of the ladder.

What should be the power of an engine required to lift 90 metric tonnes of coal per hour from a depth of 200m?

Equal volumes of water and alcohol, when put in similar calorimeters take 100s and 74s respectively to cool from 50°C to 40°C. Calculate the specific heat capacity of alcohol given that the thermal capacity of each calorimeter is numerically equal to the volume of either liquid. Take the relative density of alcohol as 0.8 and the specific heat capacity of water as 1cal per gram per °C.

When a Coolidge tube is operated for some time it becomes hot. Where does the heat come from?

The force of buoyancy exerted by the atmosphere on a balloon is B in the upward direction and remains constant. The force of air resistance on the balloon acts opposite to the direction of velocity and is proportional to it. The balloon carries a mass M and is found to fall down near the earth's surface with a constant velocity v. How much mass should be removed from the balloon so that it may rise with a constant velocity v?