List of top Questions asked in MHT CET

A gas undergoes a process \( PV^2 = \text{constant} \). Initially, pressure = 2 atm, volume = 1 L. It expands to 2 L. Find the work done by the gas in joules.
Three point charges +Q, +Q, and -Q are placed at the corners of an equilateral triangle of side a. What is the total electrostatic potential energy of the system?
A passenger is sitting in a fast moving train. The engine of the train blows a whistle of frequency N. If the apparent frequency of sound heard by the passengers is \( N' \), then:
In a vertical circle of radius r, at what point in its path does a particle have tension equal to zero if it is just able to complete the vertical circle?
In Young's double slit experiment, we get 15 fringes per cm on the screen, using light of wavelength 5600 \AA. For the same setting, how many fringes per cm will be obtained with light of wavelength 7000 \AA?
A uniform circular disc of mass 2 kg and radius 0.5 m is mounted on a frictionless axle. A force of 4 N is applied tangentially at the rim for 2 seconds. Find the angular velocity acquired by the disc at the end of 2 seconds.
An electron enters a magnetic field of magnitude 0.05 T at a speed of \( 3 \times 10^6 \) m/s, making an angle of 30° with the field direction. What is the magnitude of magnetic force on it? % Charge of electron = \( 1.6 \times 10^{-19} \) C
Two resistors, 4 ohm and 6 ohm, are connected in parallel, and this combination is connected in series with a 2 ohm resistor to a 12V battery. What is the total power dissipated?
How much time does a particle at \( x = C \) take to go from the mean position to the extreme (maximum displacement) for the first time?
A transverse wave along a string is given by \( y = 2 \sin \left( 2\pi (3t - x) + \frac{\pi{4} \right) \), where \( x \) and \( y \) are in cm and \( t \) in second. Find the acceleration of a particle located at \( x = 4 \) cm at \( t = 1 \) s.}
Two resistors, \( 4 \Omega \) and \( 6 \Omega \), are connected in parallel, and this combination is connected in series with a \( 2 \Omega \) resistor to a 12V battery. What is the total power dissipated?
A block slides down a smooth inclined plane and its acceleration is found to be half the acceleration due to gravity. What is the angle of inclination \( \theta \) of the plane?
A uniform circular disc of mass 2 kg and radius 0.5 m is mounted on a frictionless axle. A force of 4 N is applied tangentially at the rim for 2 seconds. Find the angular velocity acquired by the disc at the end of 2 seconds.
A mass of 0.5 kg is attached to a spring of force constant 200 N/m. What is the time period of oscillation?
In Young's double slit experiment, we get 15 fringes per cm on the screen, using light of wavelength 5600 Ã…. For the same setting, how many fringes per cm will be obtained with light of wavelength 7000 Ã…?
The clarity of the image formed on the retina of the eye depends on the ____
Which reagent will best convert alcohol to aldehyde selectively?
Which of the following is most reactive towards nucleophilic substitution?
Which of the following shows resonance but not hyperconjugation?
"A given compound always contains the same proportion of elements" is a statement of
Which of the following pairs of compounds cannot demonstrate the law of multiple proportions?
Which law is illustrated by compounds H$_2$O and H$_2$O$_2$ formed from two different elements, H and O?
Which of the following has the maximum percentage of gas in the air?
Which of the following is the strongest acid?
Which of the following compounds gives a secondary alcohol upon reaction with methylmagnesium bromide?