List of top Questions asked in MHT CET

The magnetic field at the centre of a current carrying circular coil of area ' \(A\) ' is ' \(B\) '. The magnetic moment of the coil is ( \(\mu_0\) = permeability of free space)
A light metal disc of radius ' \(r\) ' floats on water surface and bends the surface downwards along the perimeter making an angle ' \(\theta\) ' with the vertical edge of the disc. If the weight of water displaced by the disc is ' W ', the weight of the metal disc is [ \(\text{T}\) = surface tension of water]
A galvanometer of resistance ' \(G\) ' can be converted into a voltmeter of range \( (0 - V) \) volt by connecting a resistance ' \(R\) ' in series with it. The resistance ' \(R\) ' required to change its range from \( \left(0 - \frac{V}{4}\right) \) volt will be
The volume of a block of metal at \(30^\circ\text{C}\) changes by \(0.12\%\) when its temperature is increased to \(70^\circ\text{C}\). The coefficient of linear expansion of the metal is
A solenoid having \(400\text{ turns/metre}\) has a core of a material with relative permeability \(300\). If a current of \(0.5\text{ A}\) is passed through it, then the magnetisation of the core material is nearly
If an electron in hydrogen atom jumps from \(3^{\text{rd}}\) orbit to \(2^{\text{nd}}\) orbit it emits a photon of wavelength '\(\lambda\)'. When it emits a photon from \(4^{\text{th}}\) orbit to \(3^{\text{rd}}\) orbit then the corresponding wavelength of emitted photon will be
In the diagram, the total electric flux through the closed surface 'S' is
[Given q = charge}
{\(\varepsilon_0 = \text{permittivity of free space}\)]
A monoatomic ideal gas, initially at temperature ' \(T_1\) ' is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature ' \(T_2\) ' by releasing the piston suddenly. \(L_1\) and \(L_2\) are the lengths of the gas columns before and after the expansion respectively. Then \(\frac{T_1}{T_2}\) is
A solenoid is connected to a battery so that a steady current flows through it. If an iron core is inserted into the solenoid, then the current in the coil
The pitch of whistle of an engine appears to drop by 30% of the original value when it passes a stationary observer. If speed of sound in air is \(350\text{ m/s}\), then the speed of engine in \(\text{m/s}\) is
Two particles execute S.H.M. of same amplitude and frequency along the same straight line path. They pass each other when going in opposite directions, each time their displacement is half the amplitude. The phase difference between them is \((\sin 30^\circ = 0 \cdot 5)\)
In an oscillating LC circuit, the maximum charge on the capacitor is ' \(Q\) '. When the energy is stored equally between the electric and magnetic fields, the instantaneous charge on the capacitor ' \(q\) ' is
In case of well of death which is a vertical cylindrical wall of radius ' \(r\) ' inside which vehicle is driven in horizontal circles. If ' \(m\) ' is mass of vehicle, ' \(V\) ' is the velocity and ' \(\mu_s\) ' is the coefficient of static friction between the wheels of vehicle and walls then correct relation is [ \(g\) = acceleration due to gravity]
A charged particle is subjected to acceleration in a cyclotron which consists of two dees '\(D_1\)' and '\(D_2\)'. The charged particle undergoes increase in its speed.
In thermodynamic process, which of the following statements is not true?
A metal surface is illuminated by light of two different wavelengths \(207\text{ nm}\) and \(414\text{ nm}\) . The maximum speeds of photoelectrons corresponding to these wavelengths are \(u_1\) and \(u_2\) respectively with \(u_1 : u_2 = 2 : 1\). The work function of the metal is (\(hc = 1242\text{ eV nm}\))
A stone is thrown upward with a speed 'u' from the top of a tower reaches the ground with velocity ' \(3u\) '. The height of the tower is ( \(g\) = acceleration due to gravity)
For a common emitter transistor configuration the ratio of \(\frac{I_C}{I_E} = 0.96\), then the current gain in this configuration is
A spherical body of radius ' \(r\) ' radiates power ' \(P\) ' at \(T\) kelvin. If the radius is halved and the temperature doubled the power radiated in the same time ' \(t\) ' will be
A pendulum is performing simple harmonic motion. The acceleration of the bob is \(20\text{ cm s}^{-2}\) at a distance of \(5\text{ cm}\) from mean position. The time period of oscillation is
Which one of the following is the correct equation for the electric circuit shown?
Two uniform strings ' A ' and ' B ' made of steel are made to vibrate under same tension. If the first overtone of ' A ' is equal to second overtone of ' B ' and radius of ' A ' is twice that of ' B '. Then the ratio of length of string ' A ' to that of ' B ' is
Diode and resistance are connected as shown. Which statement is TRUE?
Work done to get ' \(n\) ' spherical drops of equal size from a single spherical drop of water, is proportional to
In biprism experiment the maximum intensity is ' \(I_0\) '. If the path difference between the two interfering waves is ' \(\lambda/4\) ' then intensity at the point on the screen is \(\left[ \sin 45^\circ = \cos 45^\circ = \frac{1}{\sqrt{2}} \right]\)