List of top Questions asked in KEAM

If the temperature of a gas is changed to \( 9 \) times the initial value, then the rms velocity of the gaseous molecule increases by
The statement, the total pressure of a mixture of ideal gases is the sum of partial pressures, is called as
When a gas is compressed in an insulated vessel
The specific heat capacity at constant volume \(C_v\) of a mole of an ideal gas is related to the gas constant \(R\) and the ratio of the specific heats \(\gamma\) as
Global warming leads to
The force between two identical solid spheres each of radius \( r \) kept in contact is \( F \). If the distance of their centres is made \( 4r \), then the force between them is
If \( K \) is the kinetic energy of a satellite at a height \( h \) from the surface of earth, then its total energy is
When two rigid bodies with moments of inertia \(I_1\) and \(I_2\) and angular velocities \(\omega_1\) and \(\omega_2\) respectively are coupled in such a way that their rotation axes coincide, the angular velocity of the combination is \(\omega\). Then
Radius of gyration of a uniform circular disc of radius \(R\) about its diameter is
A rotating fly wheel with an initial angular speed of \( 4 \, \text{rad s}^{-1} \) has an angular acceleration of \( 2 \, \text{rad s}^{-2} \). The angle (in radian) it will turn in a time of \( 4 \, s \) from the start is
In a perfectly inelastic head on collision
Power of an engine driving a vehicle of mass \(m\) with a speed \(v\) on a horizontal road is (\(\mu\) is the coefficient of friction between the road and the tyre)
A body of mass \(5\) kg collides with a wall with a speed of \(50\,\text{m s}^{-1}\) and rebounds with the same speed. If the time of contact of the body with the wall is \(\frac{1}{20}\) s, the force exerted on the wall is
A body of mass \(2\) kg is moving with a velocity of \(10\,\text{m s}^{-1}\). If a force of \(50\) N is applied on it for \(10\) s along its motion, the velocity of the body (in \(\text{m s}^{-1}\)) is
A particle moving in a circular path, covers equal distances in equal intervals of time. Then the quantity associated with the particle that remains constant with time is
When a body starts from rest and moves with uniform acceleration, then its instantaneous displacement \( s \) is related to time \( t \) as
A garden roller of weight \( 100\,kg \) is pulled with a force of \( 300\,N \) acting at an angle of \( 30^\circ \) with the ground. The effective pulling weight of the roller (in kg wt) is \((g=10\,m/s^2)\)
The dimensions of ratio of energy to Planck's constant are those of
When a metallic sphere is heated, maximum percentage change will be observed in its
The shaded region \(ABC\) shown in the diagram is given by the inequalities

The solution of the linear differential equation \( \dfrac{dy}{dx}+y=e^{-x} \), when \( x=0,\ y=1 \), is
The general solution of the differential equation \( y\,dx-x\,dy=y^2(x\,dy+y\,dx) \) is
Area of the region bounded by the function $f(x)=\begin{cases} x, & x\leq 3 \\ -x+6, & x>3 \end{cases}$ with the $x$-axis (in square units) in the first quadrant is:
The value of \(\int_{1}^{2} [x-1]\,dx\), where \([x]\) denotes the greatest integer function in \(x\), is equal to
\(\int_{0}^{\frac{\pi}{2}} \sin 2x\,e^{\sin x}\,dx\) is equal to