List of top Questions asked in MHT CET

An organ pipe \(P_{1}\) closed at one end and vibrating in its first overtone and other pipe \(P_{2}\) open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of length of \(P_{1}\) and \(P_{2}\) will be

In an experiment with a closed organ pipe, it is filled with water by \(\left(\frac{1}{5}\right)^{th}\) of its volume. The frequency of the fundamental note will change by

Two concentric spheres kept in air have radii \(R\) and \(r\). They have similar charge and equal surface charge density \(\sigma\). The electric potential at their common centre is (\(\epsilon _{0}\) = permittivity of free space)

Two points separated by \(6\) cm on a string has phase difference of \(60^{\circ }\). If frequency of oscillation is \(500\) Hz, the velocity of the wave in \(\frac{m}{s}\) is

In a sine wave, minimum distance between \(2\) particles always having same speed is

A horizontal spring executes S.H.M. with amplitude \(A_{1}\) when mass \(m\) is attached to it. When it passes through mean position another mass \(m\) is placed on it. Both masses move together with amplitude \(A_{2}\). The ratio \(\frac{A_{1}}{A_{2}}\) is

The internal energy of a diatomic molecule (air) in \(4m\times 4m\times 3m\) sized room at \(10^{5}\) \(\text{N/m}^{2}\) atmospheric pressure will be \(x\times 10^{6}\) J. The value of \(x\) is

Two simple pendulums having lengths \(\ell _{1}\) and \(\ell _{2}\) with negligible string mass undergo angular displacement \(\theta _{1}\) and \(\theta _{2}\) from their mean positions respectively. If the angular acceleration of both pendulums are same, then which equation is correct ?

For a gas, if the ratio of specific heats at constant pressure and volume is \(\gamma\) then the value of degree of freedom is

Consider \(p\)-\(V\) diagram for an ideal gas as shown. Out of the following diagrams which represents the \(T\)-\(p\) diagram?

Two moles of a rigid diatomic gas does a work \(\frac{Q}{4}\) when the amount of heat supplied is \(Q\). In this process the total heat capacity of the gas is (\(R\) = gas constant)

In an adiabatic process, which one of the following statement is true ?

Two water drops each of radius \(r\) coalesce to form a big drop. If \(T\) is the surface tension, the surface energy released in this process is \(4\pi r^{2}Tx\). The value of \(x\) is

A sheet of solid material having area \(A\) and coefficient of linear expansion \(\alpha\). The mass of sheet is \(m\) and specific heat capacity is \(s\). If \(dQ\) is the amount of heat given to the sheet then change in its area is

The velocity of a small ball of mass \(M\) and density \(d\) when dropped in a container filled with glycerine becomes constant after some time. If density of glycerine is \(\frac{d}{2}\) then the viscous force acting on the ball will be (\(g\)=acceleration due to gravity)

Moment of inertia of a disc of mass \(m\) and radius \(R\) about the centre of mass and perpendicular to plane is \(I_{1}\) and moment of inertia of disc at a distance \(\frac{2R}{3}\) from centre and perpendicular to plane is \(I_{2}\) then \(I_{1}/I_{2}\) is

A particle of mass \(m\) is projected with a velocity \(v=KV_{e}\) (\(K\lt 1\)) from the surface of the earth. The maximum height above the surface reached by the particle is (\(V_{e}\) = escape velocity, \(R\) is radius of earth)

A capillary tube is taken from the earth to the surface of the moon. The rise of the liquid column on the moon (acceleration due to gravity on earth is \(6\) times that of the moon) is

If the force acting on a body is inversely proportional to its speed, the kinetic energy of the body is

A circular ring and a solid sphere having same radius roll down on an inclined plane from rest without slipping. The ratio of their velocities when reached at the bottom of the plane \(\sqrt{\frac{x}{5}}\) where the value of \(x\) is

A sphere of mass \(50\) gram is placed on a vertical spring. It is compressed by \(0.4\) m using a force \(10\) N. When the spring is released the sphere will reach to a height of (\(g=10m/s^{2}\))

A student runs along a circular track of diameter \(80\) m. The distance travelled and the magnitude of displacement of the student when he covers \(\left(\frac{3}{4}\right)^{th}\) of the circle is (in m)

A person travelling in a straight line moves with uniform velocity \(V_{1}\) for a distance \(x\) and with a uniform velocity \(V_{2}\) for the next \(\frac{3x}{2}\) distance. The average velocity in this motion is \(\frac{50}{7}\) m/s. If \(V_{1}\) is \(5\) m/s then \(V_{2}\) (in m/s) is

A physical quantity \(C\) is related to four other quantities \(P\), \(Q\), \(R\) and \(S\) as \(C=\frac{PQ^{2}}{R^{3}\sqrt{S}}\). The percentage error in the measurement of \(P\), \(Q\), \(R\) and \(S\) are \(1\%\), \(2\%\), \(3\%\) and \(2\%\) respectively. The percentage error in the measurement of \(C\) will be

The angle made by a vector \(\vec{B}=3\hat{i}+2\hat{j}+4\hat{k}\) with Y axis is