List of top Questions asked in MHT CET

For a stationary wave, \(y=10\,\cos (\pi x/15)\sin (48\pi t)\) cm, the distance between a node and the successive antinode is

A semicircular arc of radius '\(R\)' is charged uniformly and has charge per unit length as \(\lambda\). The electric potential \(V\) at the centre of curvature is [\(\varepsilon _{0}\) = permittivity of vacuum]

The amplitude of a sound wave at a distance \(r\) from a point source is \(A\). The amplitude at a distance \(2r\) from the point source is

Two simple harmonic sound waves travelling in the same direction are given by \(y_{1}(x,t)=A\sin (0.5\pi x-100\pi t)\) and \(y_{2}(x,t)=A\sin (0.46\pi x-92\pi t)\)
The number of times, a stationary listener can hear sound of maximum intensity in one second is

Two charged particles each having a charge '\(+q\)' and mass 'm' are kept at a distance 'd'. If they are in equilibrium under the gravitational force and the electric force between them, then the ratio \(\frac{q}{m}\) (specific charge) of each particle is (\(G\)- Universal gravitation constant, \(\varepsilon _{0}\) = permittivity of free space)

If '\(m\)' represents the mass of each molecule of a gas and '\(T\)' its absolute temperature respectively, then the root mean square velocity of the gaseous molecule is proportional to

When the temperature of 4 moles of a gas was increased from \(70^{\circ }\)C to \(90^{\circ }\)C, at constant volume, the change in internal energy was \(60\text{ J}\). The total heat capacity of the gas at constant volume is

The differential equation of a particle performing S.H.M. is \(\frac{d^{2}x}{dt^{2}}+64x=0\), where \(x\) is in meter. The period of oscillation of the particle is (in second)

There is an expansion of a gas in a thermodynamic system. But this change cannot be plotted on a P-V diagram. Then it is

The molar specific heat at constant pressure of an ideal gas is \(\frac{7}{2}R\). The gas is made up of molecules which are

Two simple harmonic motions are represented as \(y_{1}=10\,\sin \omega t\) and \(y_{2}=5\,\sin \omega t+5\,\cos \omega t\), both in cm. The ratio of the amplitudes of \(y_{2}\) (\(A_{2}\)) to that of \(y_{1}\) (\(A_{1}\)), is

A metal wire of length '\(L\)' and density '\(d\)' rests horizontally on the free surface of water. The maximum radius of the wire so that the wire does not sink in water is
[\(T\) = surface tension of water, \(g\) = gravitational acceleration]

A body of mass 'm' is raised to a height '\(10R\)' from the surface of the earth, where 'R' is the radius of the earth. Suppose it is released now. The speed with which it will strike the surface of the earth is nearly
[\(g\) = acceleration due to gravity]

Under isothermal conditions, a single drop of radius \(R\) is formed from two mercury drops of radii \(R_{1}\) and \(R_{2}\). After combination, the relation between \(R\), \(R_{1}\) and \(R_{2}\) is

'\(n\)' identical small drops of water are falling down vertically through a medium each with a terminal velocity '\(v\)'. If they combine to form a single drop, then its terminal velocity is \(xv\). The value of \(x\) is

The length of mercury column in a mercury-in-glass thermometer is \(H_{1}\) mm at the ice point and \(H_{2}\) mm at the steam point. When the length is \(H\) mm, the temperature \(T\) is given in \({}^{\circ }\)C by (\(H_{1}\lt H_{2}\))

A perfectly black body radiates power at temperature \(T_{1}\)K. If it is to radiate 16 times this power, its temperature should be increased by

A \(6\text{ kg}\) mass and \(1.5\text{ kg}\) mass are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

On a dry curved (banked) road, with banking angle of zero, the maximum safe speed for a moving vehicle is '\(v\)'. After heavy rain, the maximum safe speed for the same road was reduced by 60%. The ratio of the coefficient of friction for the dry road to that of the wet road is

The bob of a simple pendulum of length 2m is kept at P. It is released and when it reaches Q, it losses 20% of its total energy due to air resistance. Its velocity at Q is [Take \(g=9.8\text{ m/s}^{2}\)]

A cricket ball of mass \(120\text{ g}\) is moving with a velocity of \(8\text{ m/s}\) and is hit by a bat so that the ball gets turned back with a velocity of \(12\text{ m/s}\). If the duration of contact between the ball and bat is \(0.02\text{ s}\), the impulse (in \(\text{Ns}\)) given to the ball by the bat is

A particle moves along a circular path of radius '\(r\)' with uniform speed '\(v\)'. The angle described by the particle in two seconds in radians is

A juggler throws balls into air. He throws one ball whenever the previous one is at its highest point. If he throws 4 balls in one second, the height from which each ball returns is nearly [acceleration due to gravity is \(9.8\text{ m/s}^{2}\)]

In a certain system, the quantities A and B are measured as \(8\pm 0.08\) and \(6\pm 0.06\) respectively. Let \(x=AB\), \(y=A+B\) and \(z=A-B\). The correct order of % error in \(x\), \(y\) and \(z\) is

In a vector \(\vec{p}\), 'x' and 'y' components have magnitudes 2 units and 5 units respectively. A vector \(\vec{q}\), along negative Y axis has magnitude of 3 units. Then \(\vec{p}\cdot \vec{q}\) is