List of top Questions asked in MHT CET

If two inputs of a NOR gate are shorted, the resulting gate is

The de Broglie wavelength of an electron moving in the \(n^{th}\) Bohr orbit of radius '\(r\)' is

In the following circuit, the current through the Zener diode is

Initially \(8\times 10^{10}\) atoms are present in a radioactive sample. The half-life of the sample is 1 hour. The number of atoms that will decay in the time interval \(t=2\) hour to \(t=5\) hour, is

The moment of inertia of the electron moving in the second Bohr orbit of a hydrogen atom is [\(m\) = mass of electron, \(h\) = Planck's constant, \(e\) = charge on electron, \(\varepsilon _{0}\) = permittivity of free space]

The band diagrams of three semiconductors p, n and intrinsic are given in the figures (1), (2) and (3). C and V are the conduction and valence bands and \(E_{F}\) is the Fermi level. Figures, from (2),(1) and (3) respectively represent the type of semiconductors as

A ray of light takes time '\(t\)' to travel a distance '\(d\)' in air and it travels a distance '\(4d\)', in time '\(T\)' in a certain medium. If \(T=8t\), the critical angle for the pair of media is
\(\left[\sin \left(\frac{\pi }{6}\right)=0.5,\,\sin \left(\frac{\pi }{4}\right)=\frac{1}{\sqrt{2}},\,\sin \left(\frac{\pi }{3}\right)=\frac{\sqrt{3}}{2},\,\sin \left(\frac{\pi }{2}\right)=1\right]\)

The radii of curvature of both the surfaces of a convex lens are equal. One of the surfaces is made plane by grinding. The new focal length and power of the lens, respectively, are

In a biprism experiment, using a light of wavelength \(4800\text{ Å}\), a steady interference pattern was obtained on a screen \(1\text{ m}\) away from the source. Now the source is replaced by another of wavelength \(6400\text{ Å}\) and the screen is moved away from it by \(20\text{ cm}\). The fringewidth will

In an experiment on photoelectric effect, the stopping potential \(V_{0}\) is plotted against the frequency \(\nu\) of the incident light. Considering \(e\) as the electronic charge, the work function of the photoelectric surface is given by

In the diffraction pattern due to a single slit of width '\(a\)' with incident light of wavelength '\(\lambda\)', at an angle of diffraction '\(\theta\)', the condition for the second maximum is

An inductor of inductance \(L\) and a resistor of resistance \(R\) are joined in series and connected to an a.c. source of frequency \(\omega\). The power dissipated in the circuit is

An alternating voltage is given by \(V=V_{0}\sin \left(\omega t+\frac{\pi }{4}\right)\). The time when the voltage is maximum for the first time is
(\(T\) = periodic time of the alternating voltage, \(\cos 0^{\circ }=\sin 90^{\circ }=1\))

A transformer having an efficiency 80% is working on \(200\text{ V}\) and \(4\text{ kW}\) power supply. If the current in the secondary coil is \(5\text{ A}\), the voltage across the secondary coil and the current in the primary coil, respectively, are

A rectangular coil of effective area \(0.04\text{ m}^{2}\) is suspended freely in a radial magnetic field of \(0.02\text{ Wb/m}^{2}\). The torsional constant of the suspension fibre is \(5\times 10^{-9}\text{ Nm/degree}\). If a current of \(250\ \mu \text{A}\) is passed through it, then the angle through which it rotates is

The magnetic flux through a coil of resistance '\(R\)' changes by an amount \(\Delta \phi\) in the time \(\Delta t\). The total quantity of induced current and charge is respectively

Two particles X and Y of masses '\(m_{1}\)' and '\(m_{2}\)' respectively, having equal charges after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii '\(r_{1}\)' and '\(r_{2}\)' respectively. The ratio of '\(r_{1}\)' and '\(r_{2}\)' is

Whenever a magnet is moved either towards or away from a conducting coil, magnetic flux linked with the coil changes. This change is dependent on
(a) the strength of the magnetic field.
(b) the area of cross-section of the coil.
(c) the resistance of the coil.
(d) the number of turns in the coil.

In a discharging series L-C-R circuit, \(C=2\ \mu \text{F}\), \(L=1\text{ mH}\) and \(R=10\ \Omega\). The ratio of the energies stored in the inductor and in the capacitor, when the maximum current flows in the circuit, is

The potential gradient along the length of 1 metre wire of uniform cross section is \(6\text{ V/m}\). Let '\(B\)' and '\(C\)' be the two points at \(40\text{ cm}\) and \(60\text{ cm}\) marks respectively from one end. The potential difference between points B and C is

A magnetic dipole lying parallel to a magnetic field requires '\(W\)' units of work to turn it through \(30^{\circ }\). The torque required to keep this needle in this position is
\(\left[\sin 30^{\circ }=\cos 60^{\circ }=0.5,\,\sin 60^{\circ }=\cos 30^{\circ }=\frac{\sqrt{3}}{2},\,\sin 0^{\circ }=\cos 90^{\circ }=1\right]\)

Two parallel plate air capacitors of same capacity '\(C\)' are connected in series to a battery of emf '\(E\)'. Then one of the capacitors is completely filled with dielectric material of constant '\(K\)'. The change in the effective capacity of the series combination is

Consider the earth to be a sphere, having charge \(Q\). Let \(R\), \(V\) and \(A\) be its radius, volume and area respectively. The capacitance of the earth is [\(\varepsilon _{0}\) = permittivity of free space]

In the following circuit, the current in the \(4\Omega\) resistance is \(1.2\text{ A}\). The total current (\(I\)) flowing in the circuit is

For a stationary wave, \(y=10\,\cos (\pi x/15)\sin (48\pi t)\) cm, the distance between a node and the successive antinode is