List of top Questions asked in MHT CET

A body is performing S.H.M. of amplitude 'A'. The displacement of the body from a point where kinetic energy is maximum to a point where potential energy is maximum, is
A ray of light travels from air to water to glass and again from glass to air. Refractive index of water w.r.t. air is 'X', glass w.r.t. water is 'Y' and air w.r.t. glass is 'Z'. Which one of the following is correct?
A balanced bridge is shown in the circuit diagram. The metre bridge wire has resistance $1\ \Omega\text{m}^{-1}$. The current drawn from the battery is (Internal resistance of battery is negligible)

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In Young's experiment with a monochromatic source and two slits, one of the slits is covered with black opaque paper, the fringes will
The radius of a planet is twice the radius of the earth. Both have almost equal average mass densities. If $V_P$ and $V_E$ are escape velocities of the planet and the earth respectively, then
The shortest wavelength for Lyman series is $912\ \text{\AA}$. The longest wavelength in Paschen series is
Water rises to a height of 2 cm in a capillary tube. If cross-sectional area of the tube is reduced to $\frac{1}{16}$ of initial area, then water will rise to a height of
The magnifying power of a refracting type of astronomical telescope is $m$. If focal length of eyepiece is doubled then the magnifying power will become
A wooden block of mass $m$ moves with velocity $V$ and collides with another block of mass $4m$, which is at rest. After collision the block of mass $m$ comes to rest. The coefficient of restitution will be
In hydrogen atom an electron revolves around a proton (in nucleus) at a distance 'r' m. The intensity of electric field due to the proton at distance 'r' is $5 \times 10^{11}\ \text{NC}^{-1}$, the magnitude of force between the electron and proton is [charge on electron = $1.6 \times 10^{-19}\ \text{C}$]
Two charged metallic spheres are joined by a very thin metal wire. If the radius of the larger sphere is four times that of the smaller sphere, the electric field near the larger sphere is
A molecule consists of two atoms each of mass $m$ and separated by a distance $d$. At room temperature, if the average rotational kinetic energy is $E$ then the angular frequency is
A particle performing S.H.M. when displacement is 'x', the potential energy and restoring force acting on it are denoted by 'E' and 'F' respectively. The relation between x, E and F is
The speed of a ball of radius 2 cm in a viscous liquid is 20 cm/s. What will be the speed of a ball of radius 1 cm in same liquid?
For series LCR circuit, which one of the following is a CORRECT statement?
In an LCR series a.c. circuit, the voltage across each of the components L, C and R is 60 V. The voltage across the LC combination is
Two waves $Y_1 = 0.25 \sin(316t)$ and $Y_2 = 0.25 \sin(310t)$ are propagating in the same direction. The number of beats produced per second are
If $m$ represents the mass of each molecule of a gas and $T$ its absolute temperature, then the root mean square speed of the gas molecule is proportional to
The mass of a spherical planet is 4 times the mass of the earth, but its radius ($R$) is same as that of the earth. How much work is done in lifting a body of mass 5 kg through a distance of 2 m on the planet? ($g = 10\ \text{ms}^{-2}$)
If $f(x) = \csc^{-1} \left[ \frac{10}{6 \sin(2^x) - 8 \cos(2^x)} \right]$, then $f'(x) =$
If $x = a\left(t - \frac{1}{t}\right)$ and $y = b\left(t + \frac{1}{t}\right)$, then $\frac{dy}{dx} =$
If $y = \log \sqrt{\tan x}$, then the value of $\frac{dy}{dx}$ at $x = \frac{\pi}{4}$ is
The area bounded by the parabola $y^2 = 4ax$ and its latus-rectum $x = a$ is
Out of 7 consonants and 4 vowels, the number of words consisting of 3 consonants and 2 vowels are
Equation of planes parallel to the plane $x - 2y + 2z + 4 = 0$ which are at a distance of one unit from the point $(1, 2, 3)$ are