List of top Questions asked in KEAM- 2014

In elastic collision
The total energy of a solid sphere of mass 300 g which rolls without slipping with a constant velocity of 5 ms\(^{-1}\) along a straight line is
The coordinates of a particle moving in $x-y$ plane at any instant of time $t$ are $x = 4t^2$; $y = 3t^2$. The speed of the particle at that instant is
The vertical component of velocity of a projectile at its maximum height ($u$ – velocity of projection, $\theta$ – angle of projection) is
A particle starting with certain initial velocity and uniform acceleration covers a distance of 12 m in first 3 seconds and a distance of 30 m in next 3 seconds. The initial velocity of the particle is
A particle has the position vector $\vec{r} = \hat{i} - 2\hat{j} + \hat{k}$ and the linear momentum $\vec{p} = 2\hat{i} - \hat{j} + \hat{k}$. Its angular momentum about the origin is}
A ball of mass 10 g moving perpendicular to the plane of the wall strikes it and rebounds in the same line with the same velocity. If the impulse experienced by the wall is 0.54 Ns, the velocity of the ball is
A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms\(^{-1}\). Then the distance from the top of the tower, at which the two balls meet is
The ionospheric layer acts as a reflector for the frequency range
In a simple pendulum experiment, the maximum percentage error in the measurement of length is 2% and that in the observation of the time-period is 3%. Then the maximum percentage error in determination of the acceleration due to gravity \( g \) is
The pitch and the number of circular scale divisions in a screw gauge with least count 0.02 mm are respectively
The ratio of distances traversed in successive intervals of time when a body falls freely under gravity from certain height is
A point-to-point communication mode is seen in
The light emitting diode (LED) is
If the heights of transmitting and the receiving antennas are each equal to $h$, the maximum line-of-sight distance between them is (R is the radius of earth)
The collector resistance and the input resistance of a CE amplifier are respectively 10 k\(\Omega\) and 2 k\(\Omega\). If \(\beta\) of the transistor is 49, the voltage gain of the amplifier is
The inputs A, B and C to be given in order to get an output Y = 1 from the following circuit are
On an average, the number of neutrons and the energy of a neutron released per fission of a uranium atom are respectively
The half-life of a radioactive substance is 20 minutes. The time taken between 50% decay and 87.5% decay of the substance will be
An electron of mass \(m_e\) and a proton of mass \(m_p\) are accelerated through the same potential. Then the ratio of their de Broglie wavelengths is
The ratio of the surface area of the nuclei \(_{52}\text{Te}^{125}\) to that of \(_{13}\text{Al}^{27}\) is
The significant result deduced from the Rutherford’s scattering experiment is that
If the frequency of incident light falling on a photosensitive metal is doubled, the kinetic energy of the emitted photoelectron is
The apparent flattening of the sun at sunset and sunrise is due to
In Young's double slit experiment, to increase the fringe width