List of top Questions asked in MHT CET

To use Zener diode of maximum power rating \(1.0\) W as a \(4.0\) V stabilized power supply, the maximum current flowing through Zener diode will
For the logic circuit given below, for
a) input \(A=0\) and input \(B=1\), and
b) input \(A=1\) and input \(B=1\), the output \(E\) is respectively
In an alpha decay, the daughter nucleus produced is itself unstable and undergoes further decay. If the number of parent and daughter nuclei at time \(t\) are \(N_{p}\) and \(N_{d}\) respectively and their decay constants are \(\lambda _{p}\) and \(\lambda _{d}\) respectively. What condition needs to be satisfied in order for \(N_{d}\) to remain constant?
In the energy band diagram of a p-type semiconductor, the "Acceptor Energy Level" is located
A radioactive nucleus X with a half-life \(T\), decays into a nucleus Y. At \(t=0\), there is no nucleus Y. After some time '\(t\)', the ratio of the number of Y to that of X is \(0.4\). Then, '\(t\)' is
Radiation of wavelength \(\lambda\), is incident on a photocell. The fastest emitted electron has speed \(v\). If the wavelength is changed to \(\frac{3\lambda }{4}\), the speed of the fastest electron will be
When a metallic surface is illuminated with radiation of wavelength \(\lambda\), the stopping potential is \(V\). If the surface is now illuminated with a radiation of wavelength \(4\lambda\), the stopping potential \(\left(\frac{V}{8}\right)\). The threshold wavelength for the surface is
In Young's double slit experiment, the separation between the slits is decreased to \(\left(\frac{1}{3}\right)^{th}\) of its original distance and the distance between the slits and the screen is doubled. The fringe width
An observer looks at a distant tree of height \(10\) m with a telescope of magnifying power of \(20\). To the observer, the tree appears
A ray of light is incident at a glass-water interface at an angle \((i_{1})\), it emerges finally parallel to the surface of water, then the value of the refractive index of glass \((\mu _{g})\) is \(\{\mu _{w}=\text{refractive index of water}=4/3,\,\sin (90)^{\circ }=1,\,\cos (90)^{\circ }=0\}\)
The minimum refractive index of the material of a right-angled isosceles prism as shown in the following figure is
The output of step-down transformer is measured to be \(36\) V when connected to \(6\) W light bulb. The value of peak current is
Two coils of self inductance, \(2\) mH and \(8\) mH are placed so closed together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is,
Two conducting circular loops of radii \(r_{1}\) and \(r_{2}\) are placed in the same plane with their centres coinciding. If \(r_{1}>>r_{2}\), then the mutual inductance \(M\) between them is proportional to [\(I_{1}=\) current flowing through coil 1 and \(I_{2}=\) current flowing through coil 2]
A \(40\) \(\mu\)F capacitor is charged to \(10\) volts of potential. The battery is disconnected, and a pure \(100\) mH coil is connected across the capacitor so that LC oscillations are set up. Then, the maximum current in the coil is:
Two inductors, \(L_{1}\) and \(L_{2}\) are connected in parallel and a time varying current flows as shown in the figure. The ratio of currents \(\frac{I_{2}}{I_{1}}\) at any time, it is
To reduce the resonant frequency in an L-C-R series circuit with a generator,
In a potentiometer circuit when two cells of emf \(1.6\) V and \(1.3\) V are connected to assist each other, the balancing length is \(290\) cm. What will be the balancing length in cm when these two cells are connected in opposition?
Consider a circular loop (radius \(R\)) carrying current \(I\), the magnetic field produced by it at a point on the axis at a distance \(z\) from the centre of the loop is \(\frac{xR^{2}}{(z^{2}+R^{2})^{3/2}}\). The value of \(x\) is
The currents through two thin long parallel wires, A and B carrying \(I\) and \(\frac{I}{3}\) respectively, in the same direction. The distance between two wires is '\(d\)'. The magnitude of force per unit length exerted by wire A on wire B is
Soft iron is used in making an electromagnet because
In the circuit shown in the figure, the current through
Two spheres A and B of radius \(a\) and \(b\) respectively are at the same electric potential. The ratio of the surface charge densities of A to that of B is
Three concentric metallic spherical shells of radii \(R\), \(3R\) and \(9R\) are given charges \(Q_{1}\), \(Q_{2}\) and \(Q_{3}\), respectively. It is found that surface charge densities on the outer surfaces of the shells are equal. Then the ratio of charges given to shells \(Q_{1}:Q_{2}:Q_{3}\), is (Neglect the induction effects)
Four parallel plate capacitors are connected in parallel. Each capacitor has a plate area \(\frac{A}{4}\) and the separation between the plates is \(d\), \(2d\), \(3d\) and \(4d\) respectively. The equivalent capacity of the combination is [\(\varepsilon _{0}=\) permittivity of free space]