List of top Questions asked in MHT CET

A spherical conductor of diameter \(3\) mm is kept in a uniform electric field of intensity \(4\times 10^{7}\) N/C. The maximum charge on the conductor is \(\left(\frac{1}{4\pi \epsilon _{0}}=9\times 10^{9}SIunits\right)\)

A capacitor of capacity \(5\mu F\) is charged by a battery of e.m.f. \(10\) V. At an instant, the potential difference across the capacitor is \(4\) V and the time rate of change of potential difference across the capacitor is \(0.6\) V/s. Then the time rate at which energy is stored in the capacitor at that instant is

In sonometer experiment, the string of length \({}'L'\) under tension vibrates in second overtone between the two bridges. The amplitude of vibration is maximum at length

The equation of a wave travelling on a string is \(Y=\sin (20\pi x+10\pi t)\), where \(x\) and \(t\) are distance and time in SI units. The minimum distance between two points having the same oscillating speed is

A sonometer wire resonates with a given tuning fork forming standing wave with \(5\) antinodes between two bridges when mass of \(9\) kg is suspended from the wire. When mass \(M\) is suspended from the wire with same fork and same length between two bridges, \(3\) antinodes are formed. Mass \(M\) is

At \(27^{\circ }C\) temperature, the mean kinetic energy of the atoms of an ideal gas is \(E_{1}\). If the temperature is increased by \(300^{\circ }C\) then the mean kinetic energy of the atoms will be

The ratio of \(C_{p}\) to \(C_{v}\) for a non-rigid diatomic gas is

A spring produces extension \({}'x'\) by applying a force \({}'F'\) N. A body of mass \({}'m'\) suspended from spring oscillates vertically with period \({}'T'\). The mass of the suspended body is (Neglect mass of spring)

A simple pendulum of length \({}'L'\) and mass of the bob \({}'m'\) is oscillating with amplitude \({}'A'\). The maximum tension in the string is (\(g\) = acceleration due to gravity)

If length of oscillating simple pendulum is made \(\left(\frac{1}{3}\right)\) times at a place keeping amplitude same then its total energy will be

A ball released from height \((h)\) which makes perfectly elastic collision with ground. The frequency of periodic vibratory motion is (\(g\) = acceleration due to gravity)

\({}'n'\) small drops of water having same size fall through air with constant velocity \(4\) cm/s. They coalesce to form a big drop. The terminal velocity of the big drop is

An ideal gas heat engine operate in Carnot cycle between \(327^{\circ }C\) and \(227^{\circ }C\). It absorbs \(6\times 10^{4}\) cal of heat at higher temperature. How much is the amount of heat converted in to work?

What is the change in volume of an iron sphere of volume \(400\) cm\({}^{3}\), when it is heated from \(0^{\circ }C\) to \(50^{\circ }C\) ? (\(\alpha _{iron}=12\times 10^{-6}/{}^{\circ }C\))

A monoatomic gas undergoes adiabatic change. Its pressure \(P\) and temperature \(T\) are related as \(P\propto T^{x}\) where \(x\) is

A water tank of height \({}'h'\) has a hole at the bottom. It is completely filled with water. The total pressure at the bottom is \(4H\) and atmospheric pressure is \(H\). The velocity of water flowing out of the hole is (\(\rho\) = density of water)

A rectangular black body of temperature \(27^{\circ }C\) has surface area \(6\) cm \(\times 3\) cm and rate of radiation \(E\). If its temperature is increased by \(300^{\circ }C\) and its linear dimensions are reduced to \(\left(\frac{1}{3}\right)^{rd}\) of their initial value then the rate of radiation is

A body is projected vertically upwards from earth's surface. If its kinetic energy of projection is equal to half of its minimum value required to escape from the gravitational influence then the height up to which it rises is (\(R\) = radius of earth)

Two loops \(A\) and \(B\) of radii \(R_{1}\) and \(R_{2}\) are made from uniform wire. If moment of inertia of loops \(A\) and \(B\) is \(I_{A}\) and \(I_{B}\) respectively then \(\frac{R_{1}}{R_{2}}\) is (Given: \(\frac{I_{A}}{I_{B}}=27\))

Two bodies rotate with kinetic energies \(E_{1}\) and \(E_{2}\), moment of inertia about their axes of rotation is \(I_{1}\) and \(I_{2}\). If \(3I_{1}=I_{2}\) and \(E_{1}=27E_{2}\) then the ratio of the angular momenta \(L_{1}\) to \(L_{2}\) is

The height of the liquid column raised in a capillary tube of certain radius when dipped in liquid \(A\) vertically is \(5\) cm. If the same tube is dipped in similar way in another liquid \(B\) of surface tension and density double the values of liquid \(A\), the height of liquid column raised in liquid \(B\) is (Assume that angle of contact for both the liquids is almost same)

A disc of mass \(100\) kg and radius \(1\)m is rotating at \(300\) r.p.m. The torque required to rotate the disc in opposite direction with same speed in time \(50\) second is

The resultant of two vectors \(\vec{A}\) and \(\vec{B}\) is \(\vec{C}\). If the magnitude of \(\vec{B}\) is doubled, the new resultant vector becomes perpendicular to \(\vec{A}\). Then the magnitude of \(\vec{C}\) is

A block of mass \(1\) kg is kept on ice surface. When velocity of \(4\) m/s is given to it, it stops by friction in \(5\) second. The coefficient of friction is (acceleration due to gravity, \(g=10\) m/s\({}^{2}\))

A quantity \(Q\) is formulated \(X^{-2}Y^{+\frac{3}{2}}Z^{-\frac{2}{5}}\). \(X\), \(Y\) and \(Z\) are independent parameters which have fractional errors of \(0.1\), \(0.2\) and \(0.5\) respectively in measurement. The maximum fractional error of \(Q\) is