The maximum height attained by a projectile when thrown at an angle θ with the horizontal is found to be half the horizontal range. Then θ is equal to
tan-1 (2)
A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio 2 : 3. The smaller fragment moves with a velocity of 6 ms-1. The kinetic energy of the larger fragment is
96 J
216 J
144 J
360 J
The acceleration due to gravity becomes (g = acceleration due to gravity on the surface of the earth) at a height equal to
4R
2R
Water rises in plant fibres due to
capillarity
viscosity
fluid pressure
osmosis
A.
capillarity
The rise or fall of liquids in vertical capillary tubes is called capillarity. Water in plant- fibres rises due to same phenomenon.
The cylindrical tube of a spray pump has a cross-section of 8 cm2, one end of which has 40 fine holes each of area 10-8 m2. Ifthe liquid flows inside the tube with a speed of 0.15 m min-1 the speed with which the liquid is ejected through the holes is
50 ms-1
5 ms-1
0.05 ms-1
0.5 ms-1
During an adiabatic process, the cube of the pressure is found to be inversely proportional to the fourth power of the volume. Then the ratio of specific heats is
1
1.33
1.67
1.4
Two identical rods AC and CB made of two different metals having thermal conductivities in the ratio 2 : 3 are kept in contact with each other at the end C as shown in the figure. A is at 100°C and B is at 25°C. Then the junction C is at
55°C
60°C
75°C
50°C
310 J of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 25°C to 35°C. The amount of heat required to raise the temperature of the gas through the same range at constant volume is
384 J
144 J
276 J
452 J
A Carnot's engine operates with source at 127°C and sink at 27°C. If the source supplies 40 kJ of heat energy, the work done by the engine is
30 kJ
10 kJ
4 kJ
1 kJ