List of top Questions asked in MHT CET

The wavelength \(\lambda _{e}\) of an electron and \(\lambda _{P}\) of a photon of same energy E are related as
A step down transformer connected to an a.c. mains of \(220\) V is made to operate at \(5.5\) V, \(44\) W lamp. The current in the primary circuit is (Ignore power losses)
A series LCR circuit is connected to a source of alternating e.m.f. of \(50\) V. The potential difference across inductor and capacitor is \(80\) V and \(50\) V respectively. The potential difference across the resistor is
In an AC circuit, the current is \(I=100\,\sin (5t)\) A. The value of \(I_{rms}\) is
In an a.c. generator, a rectangular coil of \(1000\) turns each having area \(\frac{10^{-2}}{\pi }\ \text{m}^{2}\) is rotated at \(180\) r.p.m. about an axis perpendicular to a uniform magnetic field of magnitude \(2\) T. The maximum value of e.m.f. produced will be
The value of mutual inductance of two coils is \(6\) mH. The current in one of the coil changes from \(7\) A to \(2\) A in \(0.2\) second, so that e.m.f. is induced in the other coil. If the resistance of the coil is \(6\ \Omega\), the value of induced charge passing through the coil is
In a series LCR circuit \(R=X_{L}=2X_{C}\). The impedance of the circuit and phase difference between 'V' and 'I' respectively will be
A magnetizing field of \(10^{3}\ \text{A/m}\) produces a magnetic flux density \(4\pi\) T in an iron rod. The relative permeability of the rod will be (permeability of free space \(\mu _{0}=4\pi \times 10^{-7}\) SI units)
The magnitude of the magnetic induction (B) at a point on the axis at a large distance 'r' from the centre of a circular coil of 'n' turns and area 'A' carrying current ' i ' is given by \(x\times 10^{-7}\) SI unit. The value of x is \((\mu _{0}=4\pi \times 10^{-7}\) SI unit\()\)
A circular coil having 'n' turns, each of radius 'r' carries a current 'I'. The magnetic field at a distance \(x=\sqrt{8}\ r\) from its centre along axis of the coil is \((\mu _{0}=\) permeability of free space)
A galvanometer can be converted into a voltmeter of certain range by connecting a resistance of \(990\ \Omega\) in series with it. When the resistance of \(480\ \Omega\) is connected in series, the range is halved. The resistance of the galvanometer is
The electric potential 'V' as a function of distance x (in metre) is \(V=4x^{2}+6x-8\) volt. Electric field at \(x=2\) m is
Two charges \(q_{1}\) and \(q_{2}\) are separated with distance 'd' and placed in a medium of dielectric constant 'k'. The equivalent distance between charges in air for the same electrostatic force is
The source is emitting sound of frequency 'n'. A source and a listener both are moving towards each other with a speed equal to \(\left(\frac{V}{3}\right)\), where V is the speed of sound. The frequency heard by the listener will be
Assume that the electric field \(\vec{E}=30x^{2}\hat{i}\) exists in space. Then the potential difference \(V_{A}-V_{O}\), where '\(V_{O}\)' is the potential at the origin and '\(V_{A}\)' is the potential at \(x=2\) m, is
A progressive wave is given by \(Y=6\,\sin (3t-2x)\) m. On this wave, how far away are the two points having phase difference of \(45^{\circ }\) ?
If the maximum velocity in S.H.M. is 'V' then the average velocity during motion from one extreme to other extreme position will be
Three waves of equal frequency having amplitudes \(13\ \mu \text{m}\), \(6\ \mu \text{m}\), \(5\ \mu \text{m}\) arrive at a given point with successive phase difference of \(\pi /2\). The amplitude of the resultant wave is (in \(\mu \text{m}\)) \((\cos 90^{\circ }=0,\,\cos \pi =-1)\)
A simple harmonic progressive wave is represented as \(Y=0.04\,\sin \pi (2t-0.02x)\) m. At a given instant of time, the phase difference between two particles 10 m apart is (in radian)
The average acceleration of a particle performing S.H.M. over two complete oscillations is (A = amplitude, \(\omega\) = angular frequency)
Two uniform strings X and Y made of same material made to vibrate under same tension. If the second overtone of string X is equal to the third overtone of string Y and the radius of string X is thrice that of string Y. The ratio of length of string X to that of Y is
A cylindrical rod with one end in a steam chamber and the other end in ice results in melting of \(0.1\) gram of ice per second. If the rod is replaced by another with half the length and double the radius of the first, the thermal conductivity of the material of second rod is \(\left(\frac{1}{4}\right)^{th}\) that of first, the rate at which ice melts in gram per second will be (Latent heat of ice \(=80\) cal/g)
In thermodynamic processes, which one of the following statements is 'NOT' correct ?
In case of liquid flowing on horizontal surface the flow of liquid becomes unsteady, when Reynolds number \(R_{n}\) is
A gas for which \(\gamma =5/3\ (\gamma =C_{p}/C_{v})\) is heated at constant pressure. The percentage of heat supplied used for external work is