(a) How does the kinetic energy of an object change if its linear
momentum is half? (2)
(b) Show that the final kinetic energy of the system is equal to the
sum of the initial kinetic energy and the amount of work done. (3)
(c) A 650 KW power engine of the vehicle of mass 1.5 x 105kg is
rising on an inclined plane of inclination 1 in 100 with a constant
speed of 60 km/hr. Find the frictional force between the wheels of
the vehicle and the plane. (3)
10. (a) A ball is fired from the ground by making a certain angle
with the horizontal axis.
(i) Shows that the path followed by the fired ball is parabolic in
nature. (2)
(ii) Calculate the maximum height. (2)
(iii) Find the condition at which maximum height and horizontal
range are equal. (2)
(iv) If the ball is fired from the ground with 500 m/s at 30°
horizontal. Find the horizontal range and the greatest height. (2)
11. (a) What is a mass defect? (1)
(b)Explain why the mass of the nucleus is slightly less than the mass
of constituent nucleons. (1)
(b) The density of the nucleus is more than the density of the atom.
Why? (1)
(c) The mass of Cl 35 is 34.98 U. Find its binding energy and
binding energy per nucleon. (Given mass of proton = 1.007825 U,
mass of neutron = 1.008665 U) (3)
(d) Compare N-type and P- type semiconductor. (2)



Answer :

I can help you with the first question regarding the change in kinetic energy of an object when its linear momentum is halved. (a) When the linear momentum of an object is halved, the kinetic energy of the object does not change. This is because kinetic energy is directly proportional to the square of the velocity of an object, while linear momentum is directly proportional to velocity. Therefore, if linear momentum is halved, velocity is also halved, resulting in the kinetic energy remaining the same. If you have any more questions or need further clarification, feel free to ask!