List of top Questions asked in MHT CET

A container is filled with water (\(\mu =4/3\)) up to a height of 24 cm. A concave mirror is placed 10 cm above the water level, and the image (I) of an object placed at the bottom is formed 20 cm below the water level, as shown in Figure. The focal length of the mirror is nearly

Four infinitely large planar charged sheets are placed parallel to each other as shown in Figure 1. Find the magnitude of electric field at point P.

A gas is taken through a cycle \(A\rightarrow B\rightarrow C\rightarrow A\), as shown in the figure. The net work done by the gas is

An ideal fluid flows in a non-uniform cross-sectional tube AB as shown in the figure. If \(A_{1}\) and \(A_{2}\) is the area of cross-section and \(E_{1}\) and \(E_{2}\) is the kinetic energy per unit volume of the fluid at A and B, respectively, then the ratio \(E_{1}/E_{2}\) is

The moment of inertia of a uniform circular disc rotating about an axis perpendicular to the plane of the disc and passing through points O, A, B and C are \(I_{o}\), \(I_{A}\), \(I_{B}\) and \(I_{C}\) respectively, then

Given below is the diagram of a typical monocot seed. Identify the parts labelled as A, B, C and D and choose the correct option.

The output of the logic circuit shown in figure will be

The north pole of the magnet is brought near a metallic ring as shown in figure. The direction of induced current in the ring (if looked from upside) will be

In the following figure current I equal to

A parallel plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants \(k_{1}\), \(k_{2}\), \(k_{3}\) and \(k_{4}\) as shown in figure below. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constants K is given by

The frequency of small oscillations of thin uniform vertical rod of mass \({}'m'\) and length \({}'l'\) hinged at point O with the help of two springs with spring constants \(k_{1}\) and \(k_{2}\), is

The graph shows variation of displacement of a particle performing SHM with time t. which of the following statements is correct from the graph?

The work done by an ideal gas during closed cycle \(1\rightarrow 2\rightarrow 3\rightarrow 4\rightarrow 1\) as shown in figure is

A cylindrical vessel containing a liquid of density \(\rho\) is closed by a smooth piston of mass \(m\) as shown. If atmospheric pressure is \(P_{0}\), radius of cylinder is '\(r\)' and height of liquid is '\(h\)', then the force at the bottom of the cylinder is

Water flows through a horizontal tube as shown. If the difference of heights of water column in the vertical tubes is \(h=2\ \text{cm}\), and the areas of cross section at A and B are \(4\ \text{cm}^{2}\) and \(2\ \text{cm}^{2}\) respectively, the difference in pressure that is \((P_{A}-P_{B})\) is {\(v_{A}=\) velocity of water at point A, \(v_{B}=\) velocity of water at point B, density of water \(\rho =1\ \text{g/cm}^{3}\)}

Two particles are separated by a horizontal distance \({}'x'\) as shown. They are projected at the same time as shown with different initial speeds. The time after which the horizontal distance between them becomes zero is
\(\left\{\cos 30^{\circ }=\frac{\sqrt{3}}{2},\,\cos 60^{\circ }=\frac{1}{2}\right\}\)

The restriction endonuclease responsible for cleaving the given restriction site is ___________.

Identify the chromosomal aberration from the given diagram

A ray of light passes through four transparent media with refractive indices \(\mu _{1}\), \(\mu _{2}\), \(\mu _{3}\) and \(\mu _{4}\) as shown in the figure. The surfaces of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, then

A thin semicircular conducting ring (PQR) of radius r is falling with its plane vertical in a horizontal magnetic field B as shown in the figure. The potential difference developed across the ring when its speed is v, is
\(\{\sin (90)^{\circ }=1\}\)

If the current 'i' is passing through the wire, it has a shape as shown in the figure. The radius of the curved part is R and the linear part is assumed to be very long. The magnetic induction of the field at the point O, is
(\(\mu _{0}=\)permeability of free space)

Three charges Q, \(+q\) and \(+q\) are placed at the vertices of the right angle triangle (isosceles triangle) as shown. The net electrostatic energy of the configuration is zero, if Q is equal to [a \(=\) length of two equal sides of a triangle]

A solid cylinder of length \(l\) and cross-sectional area A is immersed such that it floats with its axis vertical at the liquid-liquid interface with length \(\frac{l}{3}\) in the denser liquid as shown in the figure. The lower density liquid is open to the atmosphere, having pressure \(P_{0}\). The density of a solid cylinder is

The kinetic energies of planets in an elliptical orbit about the Sun, at positions A, B and C are \(K_{A}\), \(K_{B}\) and \(K_{C}\), respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun as shown in figure. Then

From a uniform circular disc of mass M and radius R, part AOC is removed as shown in the figure. The M.I. of the remaining portion of the disc about an axis passing through the centre and perpendicular to the plane of the disc is