List of top Questions asked in JCECE- 2011

$A\, 2\,V$ battery, a $15\, \Omega$ resistor and a potentiometer of $100\, cm$ length, all are connected in series. If the resistance of potentiometer wire is $5\, \Omega$ , then the potential gradient of the potentiometer wire is
Two pendulum have time period T and $ \frac{5T}{4} $ they start SHM at the same time form the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation
An open pipe of length 33 cm resonates with frequency of 1000 Hz. If the speed of sound is $ 333\,m{{s}^{-1}}, $ then this frequency is
A ball rolls of the top of a stair way with a horizontal velocity $ u\,m{{s}^{-1}}. $ If the steps are $ h $ metre high and b metre wide, the ball will hit the edge of the nth step, where $ n $ is
A body moving with uniform acceleration describes 12 m in the third second of its motion and 20 m in the 5th second. Find the velocity after 10 th second.
A man slides down a light rope whose breaking strength is $ \eta $ times his weight. What should be his maximum acceleration so that the rope just not breaks?
The motor of an engine is rotating about its axis with an angular velocity of 100 rev/m. If conies to rest in 15s, after being switched off. Assuming constant angular deceleration. What are the numbers of revolutions made by it before coming to rest?
By what percent the energy of a satellite has to be increased to shift it from an orbit of radius r to 3r?
The dimension of $ \frac{P}{a} $ in the equation $ p=\frac{b-{{t}^{2}}}{ax} $ where p is pressure, $ x $ is distance and t is time are
Two trains are moving towards each other with speeds of 20 m/s and 15 m/s relative to the ground. The first train sounds a whistle of frequency 600 Hz, the frequency of the whistle heard by a passenger in the second train before the train meeets is (the speed of sound in air is 340 m/s)
Power supplied to a particle of mass 2 kg varies with time as $ P=\frac{3{{t}^{2}}}{2}W. $ Here t is in second. If velocity of particle at $ t=0 $ is $ v=0, $ the velocity of particle at time $ t=2\,s $ will be
A pulley fixed to the ceiling carries a string with blocks of masses $m$ and $3m$ attached to its ends. The masses of string and pulley are negligible. When the system is released, the acceleration of centre of mass will be