List of top Questions asked in MHT CET- 2025

In Young's double slit experiment, a light of wavelength 5000 \(\mathring{A}\) is used. A glass plate of refractive index 1.5 and thickness 0.2 mm is introduced in the path of one of the interfering beams. The number of fringes which will shift is
The instantaneous voltage through a circuit of impedance 10 \(\Omega\) is \(V=40\sin(50\pi t)\). The effective value of current is
Which of the following relations is correct for root means square speed of a gas at temperature T? (m = mass of molecule, K = Boltzmann constant)
A body is suspended from the two light springs separately, the periods of vertical oscillations are \(T_1\) and \(T_2\). The same body is suspended from two springs connected in series first and then in parallel. The periods of oscillations in both cases respectively are
A pipe closed at one end produces a fundamental note of frequency '\(\nu\)'. The pipe is cut into two pipes of equal lengths. The fundamental frequencies produced in the two pipes are
The mutual inductance between a primary and secondary circuit is 0.4 H and the resistance in these circuits are 20 \(\Omega\) and 4 \(\Omega\) respectively. To produce a current of 0.5 A in the secondary, current in the primary must be changed at the rate of
A thin rod of length 'L' and mass 'M' is bent at the middle point O at an angle of \(60^\circ\). The moment of inertia of the rod about an axis passing through point 'O' and perpendicular to the plane of the rod will be [Figure: Rod bent at 60\(^\circ\) at point O]
In an ideal gas of density '\(\rho\)', the pressure exerted at a temperature 'T' is 'P'. Then
In Young's double slit experiment, two slits \(A_1\) and \(A_2\) are illuminated with light of wavelength 600 nm. The line joining \(A_1O\) is perpendicular to \(A_1A_2\). If the first minimum is detected at 'O', the value of slit separation 'a' will be (D = 60 cm). [Figure: YDSE experimental setup with slits and screen]
A Carnot engine with efficiency 40% takes heat from a source at 500 K. To increase the efficiency to 60%, keeping temperature of the sink same, the new temperature of the source will be
An ideal transformer converts 170 V a.c. to 1.70 kV a.c. to transmit a power of 3.4 kW. If primary coil has 500 turns then alternating current in secondary coil is
The excess pressure inside the first soap bubble is three times that inside the second soap bubble. The ratio of volume of the first to that of the second bubble is
A planoconvex lens has the radius of curvature of its spherical surface 25 cm. If the refractive index of a glass is 1.5, then the power of lens is
Susceptibility of ferromagnetic substance is
In the product \(\vec{F}=q(\vec{V}\times\vec{B})\), q = charge 1C, \(\vec{V}=2\hat{i}+4\hat{j}+6\hat{k}\), \(\vec{B}=(B\hat{i}+B\hat{j}+B\hat{k})\) and \(\vec{F}=4\hat{i}-20\hat{j}+12\hat{k}\). What will be the complete expression for \(\vec{B}\)?
Two whistles A and B have frequencies 660 Hz and 590 Hz respectively. An observer is standing in the middle of the line joining the two sources. Source B and observer are moving towards right with velocity 30 m/s and A is stationary at left side. The number of beats listened by the observer are (Velocity of sound in air = 300 m/s)
A particle of mass 'm' is performing U.C.M. along a circular path of radius 'r'. Its angular momentum about the axis passing through the centre of the circle and perpendicular to the plane is 'L'. Then kinetic energy of the particle is directly proportional to
Two parallel straight conductors carrying unequal currents in the same direction will
The equation of trajectory of a projectile is \(y=\sqrt{3}x-\frac{g}{8}x^{2}\) where x, y are in metre and g is in m/s\(^2\). The initial velocity of projectile 'u' is
A wire has mass \((0.2\pm0.002)\) gram, radius \((0.4\pm0.004)\) mm and length \((6\pm0.06)\) cm. The percentage error in the measurement of its density is
A parallel plate capacitor with air between the plates has capacitance 9 pF. The separation between the plates becomes thrice and the space between them is filled with a medium of dielectric constant 6. The capacitance becomes 'x' pF. The value of 'x' is
A body cools from temperature \((3\theta)^\circ\)C to \((2\theta)^\circ\)C in 10 minute. Then it cools from \((2\theta)^\circ\)C to \((\theta_1)^\circ\)C in next 10 minute. The room temperature is \((\theta)^\circ\)C. Assuming that the Newton's law of cooling is applicable the value of \((\theta_1)^\circ\)C is
Two solid spheres of same metal but of mass M and 64 M fall simultaneously through a viscous liquid and their terminal velocities are V and nV respectively then value of n is
A particle of mass 'm' and charge 'q' is placed at rest in uniform electric field E and then released. The momentum gained by the particle after moving a distance 'y' is \(\sqrt{2x}\). Then x is equal to
At \(20^\circ\)C, the ratio of the density of a fixed mass of an ideal gas to its pressure \(\left(\frac{\rho}{P}\right)\) is 'x'. At \(100^\circ\)C, this ratio is