Ques1) 
A vertical spring is fixed to one of its end and a maseless plank fitted to other end. A block of mass m is released from some height (h) from the top end of the spring which is in relaxed position. Then choose the correct statement :-
(a) The max compression on the spring does not depend on h.
(b) The max Kinetic Energy of the block does not depend on h.
(c) The compression on the spring at max Kinetic Energy of the block does not depend on h.
(d) The max compression on the spring does not depend on k.
Ques2) 
A pendulum bob of mass m is suspended frm the ceiling of a trolley which is moving uniformly with velocity V0 as shown on the figure. If the trolley is suddenly brought to rest, then the work done by pseudo force on the reference frame attatched to the trolley is :-
(a) 0 (b) (1/2) m Vo2 (c) less than (1/2) m Vo2 (d) nothing can be said
106Q1. as plank is massless we can assume that spring is relaxed initially.
Using WE theorem,
0 - 0.5m(2gh) = mgx - 0.5kx2
so xmax depends on h (did some faaltu stuff)
But when KE of block is max then spring is unstretched, so isnt compression in the spring zero?
so (c) is correct.
1For the first question C is the correct answer.
You can do this question by using your imagination.
If h is more, the mass will fall from a larger height and so the spring will be compressed more. So (a) is not the answer. compression .5*k*x^2 = mgh. So x will be larger.
The maximum kinetic energy of the block will be at the point just before the block touches the spring. Hence mgh = maximum kinetic energy depends on h. So, (b) is not the correct answer
The compression of the spring at maximum kinetic energy is zero. It is at the moment just before the block touches the spring. So it is independent of h. So (c) is the correct answer.
(d) is also similarly wrong.
