List of top Questions asked in MHT CET

A man purchased \(171\) kg of cane sugar for Rs. \(6840\). Calculate the cost of cane sugar per mole.

The Zener diode has reverse breakdown voltage \(V_{Z}\). The current through the load resistance \(R_{L}\) is \(I_{L}\). The current through Zener diode is
(\(V_{0}\) = Input voltage , \(R_{S}\) = Series resistance)

At room temperature, a p-type semiconductor has

The number of photons per second emitted by the source of monochromatic light of wavelength \(600\) nm, when it delivers the power of \(3.3\times 10^{-3}\) W will be
(Planck's constant \(=6.6\times 10^{-34}\) Js, \(c=3\times 10^{8}\) m/s)

In hydrogen like spectrum if wavelength of transition from \(3^{rd}\) to \(2^{nd}\) orbit is \(\lambda _{1}\) then wavelength of transition from \(4^{th}\) to \(3^{rd}\) orbit (Bohr's) is \(\lambda _{2}\). If \(\lambda _{2}/\lambda _{1}=20/x\) then value of \(x\) is

A radioactive nucleus \({}_{Z}^{A}X\) undergoes spontaneous decay in the sequence \({}_{Z}^{A}X\rightarrow {}_{Z-1}^{\square }B\rightarrow {}_{Z-3}^{\square }C\rightarrow {}_{Z-2}^{\square }D\) where \(Z\) is the atomic number of element. The possible decay particles in the sequence are

Three polaroid sheets are co-axially placed such that pass axis of polaroids \(2\) and \(3\) make \(30^{\circ }\) and \(90^{\circ }\) with pass axis of sheet. If \(I_{0}\) is the intensity of unpolarised light entering first sheet, the intensity of the emergent light through \(3^{rd}\) sheet is

When a certain metal surface is illuminated with a light of wavelength \(\lambda\), the stopping potential is \(V\). When the same surface is illuminated by light of wavelength \(2\lambda\), the stopping potential is \(\left(\frac{V}{3}\right)\). The threshold wavelength for the surface is

A biconvex lens has radius of curvature of both the surfaces same as \(\frac{1}{6}\) cm. If this lens is replaced by another convex lens having different radii of curvature on both sides without change in lens power then possible combination of \(R_{1}\) and \(R_{2}\) is (\(R_{1}\neq R_{2}\))

An alternating voltage \(V=200\sqrt{2}\sin (100t)\) volt is connected to \(1\mu F\) capacitor through ammeter (AC). The reading of ammeter is (in mA)

At two points \(P\) and \(Q\) on the screen in Young's double slit experiment, waves from slits \(S_{1}\) and \(S_{2}\) have a path difference of zero and \(\frac{\lambda }{4}\) respectively. The ratio of intensities at \(P\) and \(Q\) will be \(\left(\cos 0^{\circ }=1,\cos 45^{\circ }=\frac{1}{\sqrt{2}}\right)\)

For the same angle of incidence, the angles of refraction in media A, B, C and D are \(50^{\circ }\), \(40^{\circ }\), \(30^{\circ }\) and \(20^{\circ }\) respectively. The speed of light is minimum in medium

The inductance of a coil is proportional to

Same current is flowing in two AC circuits. First contains only inductance and second contains only capacitance. If frequency of AC is increased for both, the current will

An AC source is \(120\) V - \(60\) Hz. The value of voltage after \(\frac{1}{720}\) s from start will be \(\left(\sin 30^{\circ }=\frac{1}{2}\right)\)

Two coils \(P\) and \(Q\) are separated by some distance. When a current of \(3A\) flows through coil \(P\), a magnetic flux of \(10^{-3}\) Wb passes through \(Q\). No current is passed through \(Q\). When no current passes through \(P\) and a current of \(2A\) passes through \(Q\), the flux through \(P\) is \(x\times 10^{-3}\) Wb. The value of \(x\) is

A rectangular wire loop of resistance \(1.5\Omega\) placed in a region of uniform magnetic field of magnitude \(0.3\) T directed normal to the loop. If the area of the loop decreases at a rate of \(0.05\) \(\text{m}^{2}/s\) in this magnetic field, the heat produced in it is \(x\times 10^{-6}\) W. The value of \(x\) is

A uniform conducting wire of length \({}'12a'\) and resistance \(R\) is wound up as a current carrying coil in the shape of an equilateral triangle of side \({}'a'\) and then a square of side \({}'a'\). The ratio of magnetic dipole moments of triangular to square coil is

The relationship between the magnetic susceptibility (\(\chi\)) and magnetic permeability (\(\mu\)) of a material is (\(\mu _{0}\) and \(\mu _{r}\) is the permeability of free space and relative permeability respectively)

The magnitude of the magnetic field inside a long solenoid is increased by

In an electric circuit shown, each cell has e.m.f. \(2V\) and internal resistance \(1\Omega\). The external resistance is \(2\Omega\). The value of current (in A) is

A parallel plate capacitor of plate separation \(2\) mm and plate area \(40\) \(\text{cm}^{2}\) is filled with dielectric whose area is same as plates of capacitor. Thickness is \(1\) mm and dielectric constant is \(5\). New capacitance is (\(\epsilon _{0}\) = permittivity of free space)

Four capacitors each of \(16\) \(\mu F\) are connected as shown. The capacitance between points \(A\) and \(B\) is (in \(\mu F\))

Two point charges placed at a certain distance \(r\) in air exert force \(F\) on each other. Then the distance \(r_{1}\) at which these charges will exert the same force in a medium of dielectric constant \(K\) is

Two wires \(A\) and \(B\) of equal lengths are connected in left and right gap of a metre bridge, null point is obtained at \(40\) cm from left end. Diameters of the wires \(A\) and \(B\) are in the ratio \(3:1\). The ratio of specific resistance of \(A\) to that of \(B\) is