List of top Questions asked in MHT CET- 2021

Which of the following solutions does not flow in either direction, when separated by semipermeable membrane? (Molar mass : glucose = 180, urea = 60)
Identify the product 'P' of following reaction.
Ethanoyl chloride $\xrightarrow{H_2O}$ P
A bomb is dropped by an aeroplane flying horizontally with a velocity 200 km/hr and at a height of 980 m. At the time of dropping a bomb, the distance of the aeroplane from the target on the ground to hit directly is \( (g = 9.8 \, \text{m/s}^2) \)
Two small drops of mercury each of radius '\( R \)' coalesce to form a large single drop. The ratio of the total surface energies before and after the change is
On a photosensitive surface, if the intensity of incident radiation is increased, the stopping potential
A series combination of resistor 'R' and capacitor 'C' is connected to an a.c. source of angular frequency 'ω'. Keeping the voltage same, if the frequency is changed to \(\frac{ω}{3}\) the current becomes half of the original current. Then the ratio of capacitive reactance and resistance at the former frequency is
A double slit experiment is immersed in water of refractive index 1.33. The slit separation is 1 mm and the distance between slit and screen is 1.33 m. The slits are illuminated by a light of wavelength \(6300 \, \text{Å}\). The fringe width is
A particle executes linear S.H.M. The mean position of oscillation is at the principal axis of a convex lens of focal length 8 cm. The mean position of oscillation is at 14 cm from the lens with amplitude 1 cm. The amplitude of oscillating image of the particle is nearly
The velocity of a small ball of mass '\( M \)' and density '\( d_1 \)' when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is '\( d_2 \)', the viscous force acting on the ball is ( \( g = \) acceleration due to gravity )
\(\lambda_1\) is the wavelength of series limit of Lyman series, \(\lambda_2\) is the wavelength of the first line of Lyman series and \(\lambda_3\) is the series limit of the Balmer series. Then the relation between \(\lambda_1\), \(\lambda_2\) and \(\lambda_3\) is
'F' is the force between the two identical charged particles placed at a distance 'Y' from each other. If the distance between the charges is reduced to half the previous distance then force between them becomes
A particle of mass 'm' is kept at rest at a height \( 3R \) from the surface of earth, where 'R' is radius of earth and 'M' is the mass of earth. The minimum speed with which it should be projected, so that it does not return back is ( \( g = \) acceleration due to gravity on the earth's surface)
A sphere of mass 25 gram is placed on a vertical spring. It is compressed by 0.2 m using a force 5 N. When the spring is released, the sphere will reach a height of \( g = 10 \, \text{m/s}^2 \)
A coil of radius 'r' is placed on another coil (whose radius is 'R' and current through it is changing) so that their centres coincide. (\( R > r \)). If both coplanar, then the mutual inductance between them is proportional to
In fundamental mode, the time required for the sound wave to reach upto the closed end of pipe filled with air is \( t \) second. The frequency of vibration of air column is
A glass cube of length 24 cm has a small air bubble trapped inside. When viewed normally from one face it is 10 cm below the surface. When viewed normally from the opposite face, its apparent distance is 6 cm. The refractive index of glass is
In biprism experiment, 21 fringes are observed in a given region using light of wavelength 4800 Å. If light of wavelength 5600 Å is used, the number of fringes in the same region will be
A wire of length \(L\); having resistance \(R\) falls from a height \(l\) in earth's horizontal magnetic field \(B\). The current through the wire is ( \(g = \) acceleration due to gravity)
What is susceptibility of a medium, if its relative permeability is 0.85?
Two wires 'A' and 'B' of equal length are connected in left and right gap respectively of meter bridge, null point is obtained at 40 cm from the left end. Diameters of the wires 'A' and 'B' are in the ratio 3 : 1 respectively, the ratio of specific resistance of 'A' to that of 'B' is
A simple harmonic progressive wave is given by \( Y = Y_0 \sin 2\pi \left( nt - \frac{x}{\lambda} \right) \). If the wave velocity is \(\left( \frac{1}{8} \right)^{\text{th}}\) the maximum particle velocity then the wavelength is
When the value of acceleration due to gravity \( g' \) becomes \( \frac{g}{3} \) above surface of height \( h \) then relation between \( h \) and \( R \) is \( (R = \text{radius of earth}) \)
In the graphical representation of e.m.f. 'e' and current 'i' versus 'ωt' for an a.c. circuit, both emf and current reach zero, minimum and maximum value at the same time. The circuit element connected to the source will be
An alternating voltage is represented by \( V = 80 \sin(100\pi t) \cos(100\pi t) \) volt. The peak voltage is
The moment of inertia of a body about a given axis is \( 1.2 \, \text{kg m}^2 \). Initially the body is at rest. In order to produce rotational kinetic energy of \( 1500 \, \text{J} \), an angular acceleration of \( 25 \, \text{rad/s}^2 \) must be applied about an axis for a time duration of