List of top Questions asked in MHT CET

If \(100\) J of work has to be done in moving an electric charge of \(4\) C from a place, where potential is \(-10\) V to another place where potential is V volt. The value of V is
A body has time period \(T_{1}\) under the action of one force and \(T_{2}\) under the action of another force. The square of the time period when both the forces are acting in the same direction is
A stretched wire of length \(110\) cm is divided in to 3 segments whose frequencies are in the ratio \(1:2:3\). Their respective lengths must be
Two points on a travelling wave having frequency \(500\) Hz and velocity \(300\) m/s are \(60^{\circ }\) out of phase, then the minimum distance between the two points is
The fundamental frequency of a closed pipe is \(400\) Hz. If \(\frac{1}{3}^{rd}\) pipe is filled with water then the frequency of \(3^{rd}\) harmonic of the pipe will be (Neglect end correction)
A whistle sends out 256 waves in a second. If the whistle approaches the observer with velocity \(\left(\frac{1}{3}\right)^{rd}\) of the velocity of sound in air. The number of waves per second observer will receive is
\(S_{1}\) and \(S_{2}\) are two identical springs. The frequency of oscillation of mass m is F. If one spring is removed, the frequency will become
Two rods A and B are of equal lengths. Their ends are kept between the same temperatures and their area cross-sections are \(A_{1}\) and \(A_{2}\), thermal conductivities are \(K_{1}\) and \(K_{2}\). The rate of heat transmission in the two rods will be equal if
A particle oscillates simple harmonically along a straight line with period \(8\) s and amplitude \(8\sqrt{2}\) m. It starts from mean position then the ratio of the distances travelled by it in the \(2^{nd}\) second and the first second of its motion is \(\left(\sin 45^{\circ }=\frac{1}{\sqrt{2}}\right)\) \((\sin 90^{\circ }=1)\)
The total radiant energy per unit area normal to the direction of incidence, received at a distance R from the centre of a star of radius r, whose outer surface radiates as a black body at a temperature 'T' K is (\(\sigma\) = Stefan's constant)
Out of the following relations which one is true in the case of an adiabatic process, where \(\gamma =C_{p}/C_{v}\) ?
At what temperature, the kinetic energy of a gas molecule is half of the value at \(27^{\circ }\)C ?
Six moles of oxygen gas is heated from \(20^{\circ }\)C to \(35^{\circ }\)C at constant volume. If specific heat capacity at constant pressure is \(8\text{ cal mol}^{-1}\text{k}^{-1}\) and gas constant is \(2\text{ cal mol}^{-1}\text{k}^{-1}\). The change in internal energy of the gas is
Two solid spheres of same material but of mass M and 8M fall simultaneously on a viscous liquid and their terminal velocities are V and nV, then the value of n is
Heat energy is incident on the surface at the rate of \(1000\) J/min. If coefficient of absorption is \(0.8\) and coefficient of reflection is \(0.1\) then heat energy transmitted by the surface in 5 minute is
When one end of a capillary tube is dipped in water, water rises to a height h. The upward force of \(105\) dyne due to surface tension is balanced by the force due to weight of water column. The inner circumference of the capillary is (surface tension of water = \(7\times 10^{-2}\) N/m)
When a big drop of water is formed from n small drops of water, the energy loss is 3E, where E is the energy of the big drop. If R is the radius of big drop and r is the radius of the smaller drop then number of smaller drops n is
If mean radius of earth is 'R', its angular velocity is '\(\omega\)' and acceleration due to gravity at the surface of the earth is 'g' then the cube of the radius of the orbit of geostationary satellite will be
A particle is projected from ground with speed u and at an angle \(\theta\) with horizontal. If at maximum height from ground, the speed of a particle is half times its initial velocity of projection then its maximum height attained is \((\cos 60^{\circ }=0.5,\,\sin 60^{\circ }=\sqrt{3}/2)\) (g = acceleration due to gravity)
The moment of inertia of two equal masses each of mass m at separation L connected by a rod of mass M about an axis passing through centre and perpendicular to the length of rod is
The real force F acting on particle of mass m performing circular motion acts along the radius of circle r and is directed forwards the centre of the circle. The magnitude of square root of such a force is (T = periodic time)
A particle moves from position \(3\hat{i}+2\hat{j}-6\hat{k}\) to \(14\hat{i}+13\hat{j}+9\hat{k}\) due to uniform force of \((4\hat{i}+\hat{j}+3\hat{k})\) N. If displacement is in metre then work done will be
A block of mass 'm' collides with another stationary block of mass '2m'. The lighter block comes to rest after collision. If the velocity of the first block is 'V' then the coefficient of restitution is
Moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is I. If the same rod is bent in to a ring and its moment of inertia about its diameter is \(I_{1}\), then the ratio \(I/I_{1}\) is
The percentage error in the measurement of mass and speed are \(2\%\) and \(3\%\) respectively. The maximum error in the estimation of kinetic energy is