List of top Questions asked in MHT CET

Identify the equation that DOES NOT represent oscillatory motion.
(\(A\) is amplitude of motion)
An organ pipe closed at one end produces \(5^{\text{th}}\) overtone of an air column. It is found that air in the pipe is vibrating with \(x\) nodes and \(y\) antinodes. The value of \(x\) and \(y\) is
The potential energy of a simple harmonic oscillator when the particle is at \(\frac{3}{4}A\), is
(\(A\) is the amplitude of oscillation and E is the total energy of the oscillator)
The internal energy per molecule for a diatomic (non-rigid) gas is (where \(k_{B}\) is Boltzmann's constant and \(T\) is absolute temperature).
Which of the following is NOT a correct equation for adiabatic process?
The temperature at which the root-mean-square speed of carbon dioxide molecules becomes just sufficient for escaping Earth's atmosphere is approximately
(Mass of carbon dioxide molecule \(=7\times 10^{-26}\ \text{kg}\), Boltzmann's constant \(k_{B}=14\times 10^{-24}\ J/K\), escape velocity from Earth's surface \(=11\ \text{km/s}\))
A spherical blackbody of radius \(R=10\ \text{m}\) is maintained at a temperature \(T\), radiating power \(P\) with a peak emission wavelength \(5000\ \text{Å}\). If the body is compressed uniformly such that its radius becomes \(R/2\), while its total radiated power is simultaneously increased to \(16P\) by heating, what is the new wavelength \(\lambda _{m}'\) at which the peak emission occurs?
A simple pendulum oscillating in air has a period of \(\sqrt{3}\) second. If it is immersed in a non-viscous liquid, having density \(\rho =\left(\frac{1}{x}\right)\sigma\), where \(\sigma\) is the density of the material of the bob, the new period is \(2\) second. The value of \(x\) is
The orbital velocity of an artificial satellite in a circular orbit just above Earth's surface is \(v\). For a satellite at the altitude \(\frac{3}{4}^{\text{th}}\) the Earth's radius, the orbital velocity is
A solid ball having a radius of \(2\ \text{cm}\), has a terminal speed of \(32\ \text{cm/s}\) in a viscous liquid. The terminal speed of a solid ball of the same material, with radius of \(0.5\ \text{cm}\) in the same liquid under identical conditions is
A resistance thermometer has resistance \(95\ \Omega\) at the ice point and \(140\ \Omega\) at the steam point. The resistance obtained if the actual temperature is \(30^{\circ }\text{C}\) is
The angle of contact made by the liquid drop with the solid surface is obtuse. Then, which of the following statement is correct?
Two billiard balls A and B, each of mass \(50\ \text{g}\) and moving in opposite directions at a speed of \(5\ \text{m/s}\) each, collide and rebound at a same speed. The magnitude of impulse imparted to each ball is
The least count of voltmeter is 0.2 V, and least count of ammeter is 1 mA. If the potential difference is 2 V, and the current is 10 mA, what is the percentage error in measurement of resistance?
A coin is thrown vertically upward in a lift which is ascending with acceleration \(a\). The coin takes time \(t_{1}\) to reach the maximum height \(h\). In the later instant, the coin is dropped from the same height in a lift which is descending with acceleration \(a\). The time taken by the coin to reach the floor of the lift is \(t_{2}\), then
A particle is whirled in a vertical circle of radius \(R\). If its velocity at the lowest point is just enough to complete the circle (\(u=\sqrt{5gR}\)), then the magnitude of its total acceleration when the string becomes horizontal is (\(g\) is acceleration due to gravity).
A solid, homogeneous sphere of mass M and radius R is rolling down a rough inclined plane inclined at an angle \(\theta\). Which of the following statements is INCORRECT?
A vector \(\vec{B}\) is along positive y-axis and its vector product with another vector \(\vec{A}\) is zero; then vector \(\vec{A}\) could be
Which of the following is a reason for the break down of chemical bonds within molecules such as DNA of living organisms causing injuries?
A college student standing near a traffic signal in a metropolitan city like Delhi suddenly felt dizzy and fainted. What might be the possible reasons for this?
The Rivet Popper Hypothesis by the ecologist, Paul Ehrlich, explains significance of ___________.
Which of the following are the narrowly utilitarian reasons for conservation of biodiversity?
(A). For providing equal right of survival to living beings.
(B). For industrial products like resins, tannins etc.
(C). For pollination and seed dispersal.
(D). For medicinal use of plants and animals.
Match the Pollutants in Column-I with their effects in Column-II and choose the correct option:
Column IColumn-II
(A) UV B rays(I) Biomagnification.
(B) Biodegradable organic matter(II) Greenhouse effect
(C) DDT(III) Mutations.
(D) Chlorofluorocarbons(IV) BOD.
When certain exotic species is introduced accidentally into a new geographic area, then which of the following is more likely to happen?
Which of the following correctly explains Net Primary Productivity?