List of top Questions asked in KEAM- 2015

A car moves at a speed of 20 ms\(^{-1}\) on a banked track and describes an arc of a circle of radius \(40\sqrt{3}\) m. The angle of banking is (g = 10 ms\(^{-2}\))
When a body is projected vertically up from the ground with certain velocity, its potential energy and kinetic energy at a point A are in the ratio 2 : 3. If the same body is projected with double the previous velocity, then at the same point A the ratio of its potential energy to kinetic energy is
A spring with force constant \(k\) is initially stretched by \(x_1\). If it is further stretched by \(x_2\), then the increase in its potential energy is
Two objects P and Q initially at rest move towards each other under mutual force of attraction. At the instant when the velocity of P is \(v\) and that of Q is \(2v\), the velocity of centre of mass of the system is
A force \(F_x\) acts on a particle such that its position \(x\) changes as shown in the figure. The work done by the particle as it moves from \(x = 0\) to \(20 \, m\) is
The magnitudes of a set of 3 vectors are given below. The set of vectors for which the resultant cannot be zero is
A cricket ball is hit at an angle of 30° to the horizontal with a kinetic energy E. Its kinetic energy when it reaches the highest point is
If n bullets each of mass \(m\) are fired with a velocity \(v\) per second from a machine gun, the force required to hold the gun in position is
A ball dropped from a point A falls down vertically to C, through the midpoint B. The descending time from A to B and that from A to C are in the ratio
The time required to stop a car of mass 800 kg, moving at a speed of 20 ms\(^{-1}\) over a distance of 25 m is
From a balloon moving upwards with a velocity of 12 ms\(^{-1}\), a packet is released when it is at a height of 65 m from the ground. The time taken by it to reach the ground is (g = 10 ms\(^{-2}\))
If the displacement of a body varies as the square of elapsed time, then its
A bus is moving with a velocity of 10 ms\(^{-1}\) on a straight road. A scooterist wishes to overtake the bus in one minute. If the bus is at a distance of 1.2 km ahead, then the velocity with which he has to chase the bus is
A force F is applied onto a square plate of side L. If the percentage error in determining L is 2% and that in F is 4%, the permissible percentage error in determining the pressure is
The physical quantity that does not have the dimensional formula \( [ML^{-1}T^{-2}] \) is
Two capillary tubes A and B of diameter $1\, mm$ and $2\, mm$ respectively are dipped vertically in a liquid. If the capillary rise in A is 6 cm, then the capillary rise in B is
Acid catalysed hydration of alkene is an example for
How does the electron gain enthalpies vary across a period and down a group?
n-hexane on heating to $773 \,K$ at $10-20$ atmospheric pressure in the presence of oxides of vanadium supported over alumina, yields
Which one of the following monomers form biodegradable polymer?
The equation of the plane which bisects the line segment joining the points $(3, 2, 6)$ and $(5,4, 8)$ and is perpendicular to the same line segment, is
Which one of the following is an allylic halide ?
Match the following and choose the correct option
The resistivity of the material of a potentiometer wire is $5 \times 10^{-6} \Omega\, m$ and its area of cross section is $5 \times 10^{-6} \; m^2$. If $0.2\, A$ current is flowing through the wire, then the potential drop per metre length of the wire is
Which one of the following is the significance of mitosis?