List of top Physics Questions asked in MHT CET

A hollow pipe of length 0.8 m is closed at one end. At its open end a 0.5 m long uniform string is vibrating in fourth harmonic, and it resonates with the fundamental frequency of the pipe. If the tension in the wire is 50 N and the speed of sound is 320 m/s, the mass of string is
An object of specific gravity \(\rho\) is hung from a thin steel wire. The fundamental frequency for the transverse stationary waves is 300 Hz. The object is immersed in water, so that one half of its volume is submerged. The second harmonic frequency will be ( density of water \(=1\) g / cc)
A transverse wave is described by the equation \(y=A\sin 2\pi \left(nt-\frac{x}{10}\right)\). The ratio of maximum particle velocity to wave velocity is
Three point charges \(+4e\) , \(+2e\) and \(+e\) are kept at each vertex of an equilateral triangle ABC , each of side \(a\) . The net electric intensity acting on charge \(+e\) is
( \(\cos 60^{\circ }=1/2\) and \(k\) is constant )
The displacement of two identical particles performing S.H.M are represented by equation \(x_{1}=6\,\sin (5t+\pi /4)\) and \(x_{2}=4\,\cos \omega t\). The energies of both the particles will be same, if the value of \(\omega\) is
For a particle executing simple harmonic motion , which of the following statements is NOT correct?
A sound wave travels from a region of air at \(20^{\circ }\text{C}\) into a region at \(40^{\circ }\text{C}\). What is the ratio of the wavelengths (\(\lambda _{40}/\lambda _{20}\)), if the frequency remains constant?
The bob of simple pendulum performs S.H.M. with a frequency \({}'n'\) in air and with frequency \({}'n_{1}'\) in water. If the density of the material of bob is \({}'x'\) g / cc and the ratio \(n/n_{1}\) is 3, then density of bob \({}'x'\) is ( density of water \(=1\) g /cc and neglect friction due to water)
\(C_{p}\) and \(C_{v}\) are the specific heats at constant pressure and constant volume respectively. It is observed that \(C_{p}-C_{v}=a\) for hydrogen gas and \(C_{p}-C_{v}=b\) for carbon dioxide gas. The correct relationship between ' a' and 'b' is ( atomic weight of hydrogen , carbon and oxygen are 1u, 12 u and 16 u respectively)
A vessel is filled with a gas at a pressure of 76 cm of mercury at a certain temperature. The mass of the gas is increased by 75 % by introducing more gas in the vessel at the same temperature. The resultant pressure of the gas is
For a cyclic thermodynamic process
For an adiabatic process, choose the correct relation
The atmospheric pressure on the surface of the fluid is \(P_{0}\) . The depth \(h\) at which pressure is \(n\) times the atmospheric pressure is
The thermal conduction rate '\(P_{cond}\)' of a slab is given by \(P_{cond}=\frac{kA(T_{1}-T_{2})}{x}\), where ' \(x\) ' is the thickness of the slab and 'A' is the area . The term that represents thermal resistance ' \(R_{T}\)'
In a capillary tube having the cross-sectional area 'A', the water rises to a height \({}'h_{1}'\). If the cross-sectional area is reduced by 'A/25', the rise of water in capillary is \({}'h_{2}'\). If \(h_{2}=xh_{1}\), the value of \(x\) is
The cylindrical tube of a spray pump has radius 'R', one end of which has 'n' fine holes, each of radius 'r'. If the speed of the liquid in the tube is 'V' and speed of ejection of the liquid through the holes is '\(V_{1}\)' and \(r=xR\), then value of \(x\) is
A thin uniform rod of mass 'M' and length 'L' lies in a \(x\)-\(y\) plane. Its centre is at the origin \((0,0)\) and is oriented along the \(x\)-axis. What is the moment of inertia of this rod about an axis passing through point \((0,2L/3)\) parallel to \(z\)- axis and perpendicular to the plane.
An artificial satellite is revolving around a planet in a circular orbit close to its surface. The frequency of revolution (n) of a satellite in terms of density '\(\rho\)' and radius 'R' of the planet is ( G is the universal gravitational constant)
A thin circular ring of mass 'M' and radius 'r' is rotating about its axis with a constant angular velocity \(\omega\). Four objects, each of mass 'M / 2', are kept gently to the opposite ends of two perpendicular diameters of ring. The angular velocity of the ring will be
If a road is banked at an angle \(\theta\), and the cyclist is leaning inward at an angle \(\theta '\) to the vertical, for an ideal turn at the optimum speed, what is the relationship between the angles?
A particle 'A' of mass ' 2m' and having initial velocity \({}'u_{A}'\) collides with particle B of mass ' m / 2' at rest. The collision is head on and elastic. If \(\lambda _{A}\) and \(\lambda _{B}\) are the de-Broglie wavelength of the particles 'A' and 'B' after collision, such that \(\lambda _{A}=x\lambda _{B}\). The value of \(x\) is
A man weighing 60 kg is standing in a lift. If the lift moves with an acceleration of \({}'x'\) \(\text{m/s}^{2}\), the apparent weight of the man is 840 N. The acceleration \({}'x'\) of the lift is such that ( \(g=10\ \text{m/s}^{2}\) )
If two projectiles are projected with equal velocities at angles which are complementary to each other, then
The resultant of two vectors \(\vec{A}\) and \(\vec{B}\) is perpendicular to \(\vec{A}\) and the magnitude is \(\frac{1}{\sqrt{2}}\) times that of \(\vec{B}\) . The angle between \(\vec{A}\) and \(\vec{B}\) is
A body slides down a smooth inclined plane of inclination \(θ\) and reaches the bottom with velocity 'V'. If the same body is a ring which rolls down the same inclined plane then linear velocity at the bottom of the plane is