List of top Physics Questions asked in MHT CET

What should be the radius of water drop so that excess pressure inside it is $72\ \text{Nm}^{-2}$? (The surface tension of water $7.2 \times 10^{-2}\ \text{Nm}^{-1}$)

Two masses $m_a$ and $m_b$ moving with velocities $v_a$ and $v_b$ in opposite directions collide elastically. After the collision $m_a$ and $m_b$ move with velocities $v_b$ and $v_a$ respectively, then the ratio $m_a : m_b$ is

Two consecutive harmonics of an air column in a pipe closed at one end are of frequencies 150 Hz and 250 Hz. The fundamental frequency of an air column is

A body of density $\rho$ is dropped from (at rest) height $h$ into a lake of density $\delta$ ($\delta > \rho$). The maximum depth to which the body sinks before returning to float on the surface is [Neglect all dissipative forces]

A sample of radioactive element contains $8 \times 10^{16}$ active nuclei. The half-life of the element is 15 days. The number of nuclei decayed after 60 days is

In Young's double slit experiment, with a source of light having wavelength $6300\ \text{\AA}$, the first maxima will occur when the

A particle executes S.H.M. of period $\frac{2\pi}{\sqrt{3}}$ second along a straight line $4\ \text{cm}$ long. The maximum velocity of the particle is

A conducting rod of length $1\ \text{m}$ has area of cross-section $10^{-3}\ \text{m}^2$. One end is immersed in boiling water ($100^\circ\text{C}$) and the other end in ice ($0^\circ\text{C}$). If coefficient of thermal conductivity of copper is $92\ \text{cal}/\text{m-s-}^\circ\text{C}$ and latent heat of ice is $8 \times 10^4\ \text{cal}/\text{kg}$, then the amount of ice which will melt in one minute is

Which one of the following statements is true?

In the case of insulators, a band gap and conduction band is respectively

A monoatomic gas is suddenly compressed to (1/8)th of its initial volume adiabatically. The ratio of the final pressure to the initial pressure is

In a single slit diffraction pattern, the distance between the first minimum on the left and the first minimum on the right is $5\ \text{mm}$. The screen on which the diffraction pattern is displayed is at a distance of $80\ \text{cm}$ from the slit. The wavelength is $6000\ \text{\AA}$. The slit width is about

A black rectangular surface of area $A$ emits energy $E$ per second at $27^\circ \text{C}$. If length and breadth are reduced to one third of initial value and temperature is raised to $327^\circ \text{C}$, then energy emitted per second becomes

A metal conductor of length $1\ \text{m}$ rotates vertically about one of its ends at an angular velocity of $5\ \text{rad/s}$. If the horizontal component of earth's magnetic field is $0.2 \times 10^{-4}\ \text{T}$, then the emf developed between the two ends of the conductor is

The output of an 'OR' gate is 'one'

A convex lens of focal length $f$ is used to form an image whose size is one fourth that of size of the object. Then the object distance is

A particle at rest starts moving with a constant angular acceleration of $4\ \text{rad}/\text{s}^2$ in a circular path. At what time the magnitudes of its tangential acceleration and centripetal acceleration will be equal?

A disc of radius 0.4 metre and mass 1 kg rotates about an axis passing through its centre and perpendicular to its plane. The angular acceleration is $10\ \text{rad}/\text{s}^2$. The tangential force applied to the rim of the disc is

A perfect gas of volume 10 litre is compressed isothermally to a volume of 1 litre. The rms speed of the molecules will

What is the additional energy that should be supplied to a moving electron to reduce its de Broglie wavelength from $1\ \text{nm}$ to $0.5\ \text{nm}$?

The relation obeyed by a perfect gas during an adiabatic process is $PV^{3/2} = \text{constant}$. The initial temperature of the gas is $T$. When the gas is compressed to half of its initial volume, the final temperature of the gas is

In the arrangement of the capacitors as shown in figure, each capacitor is of $6\ \mu\text{F}$, then equivalent capacity between points A and B is

A charge of magnitude '2e' and mass '4m' is moving in an electric field $\vec{E}$. The acceleration imparted to the above charge is

In Fraunhofer diffraction pattern, slit width is 0.2 mm and screen is at 2m away from the lens. If wavelength of light used is 5000 $\text{A}^\circ$ then the distance between the first minimum on either side of the central maximum is ($\theta$ is small and measured in radian)

A spherical conducting shell of inner radius '$r_1$' and outer radius '$r_2$' has a charge 'Q'. A charge $-q$ is placed at the centre of the shell. The surface charge density on the inner and outer surface of the shell will be