List of top Questions asked in MHT CET

An ideal gas having molar mass $M_0$, has r.m.s. velocity $V$ at temperature $T$. Then

A needle is $7\text{ cm}$ long. Assuming that the needle is not wetted by water, what is the weight of the needle, so that it should float on water surface? [Surface tension of water = $70\text{ dyn/cm}$, $g = 980\text{ cm/s}^2$]

A particle connected to the end of a spring executes S.H.M. with period $T_1$. While the corresponding period for another spring is $T_2$. If the period of oscillation with two springs in series is $T$, then

If the terminal speed of a sphere A [density $\rho_A = 7.5\text{ kg}\cdot\text{m}^{-3}$] is $0.4\text{ m/s}$ in a viscous liquid [density $\rho_L = 1.5\text{ kg}\cdot\text{m}^{-3}$], then the terminal speed of a sphere B [density $\rho_B = 3\text{ kg}\cdot\text{m}^{-3}$] of the same size in the same liquid is

When a photon enters glass from air, which one of the following quantities does not change?

An electron of mass '$m$' and charge '$q$' is accelerated from rest in a uniform electric field of strength '$E$'. The velocity acquired by the electron when it travels a distance '$L$' is

In Young's double slit experiment using monochromatic light of wavelength '$\lambda$', the maximum intensity of light at a point on the screen is $K$ units. The intensity of light at a point where the path difference is $\frac{\lambda}{3}$ is

The change in internal energy of the mass of a gas, when the volume changes from $V$ to $2V$ at constant pressure $P$ is ($\gamma = \text{Ratio of } C_p \text{ to } C_v$)

Two spherical conductors of radii $4\text{ cm}$ and $5\text{ cm}$ are charged to the same potential. If '$\sigma_1$' and '$\sigma_2$' be the respective values of the surface density of charge on the two conductors then the ratio $\sigma_1 : \sigma_2$ is

In $n^{\text{th}}$ Bohr orbit, the ratio of the kinetic energy of an electron to the total energy of it, is

In a potentiometer experiment, the balancing length for a cell is $240\text{ cm}$. On shunting the cell with a resistance of $2\ \Omega$, the balancing length becomes half the initial balancing length. The internal resistance of the cell is

Two satellites of same mass are launched in circular orbits at heights '$R$' and '$2R$' above the surface of the earth. The ratio of their kinetic energies is ($R = \text{radius of the earth}$)

A particle having a charge $100e$ is revolving in a circular path of radius $0.8\text{ m}$ with $1\text{ r.p.s.}$. The magnetic field produced at the centre of the circle in SI unit is ($\mu_0 = \text{permeability of vacuum}$, $e = 1.6 \times 10^{-19}\text{ C}$)

The emissive power of a sphere of area $0.04\text{ m}^2$ is $0.7\text{ kcal}\cdot\text{s}^{-1}\cdot\text{m}^{-2}$. The amount of heat radiated in 20 seconds is

A sound wave of frequency $160\text{ Hz}$ has a velocity of $320\text{ m/s}$. When it travels through air, the particles having a phase difference of $90^\circ$ are separated by a distance of

A particle with position vector $\vec{r}$ has a linear momentum $\vec{P}$. Which one of the following statements is true in respect of its angular momentum 'L' about the origin?

A ball rises to the surface of a liquid with constant velocity. The density of the liquid is four times the density of the material of the ball. The viscous force of the liquid on the rising ball is greater than the weight of the ball by a factor of

In a parallel plate capacitor, the electric field between the plates is '$E$'. If the charge on the plates is '$Q$', then the force on each plate is

For a common-emitter amplifier, the voltage gain is $40$. Its input and output impedances are $100\ \Omega$ and $400\ \Omega$, respectively. The power gain of the CE amplifier will be

Which of the following gates will give an output '1' for the given inputs?

A tuning fork of frequency '$n$' is held near the open end of a tube which is closed at the other end and the lengths are adjusted until resonance occurs. The first resonance occurs at length $L_1$ and the immediate next resonance occurs at length $L_2$. The speed of sound in air is

Force is applied to a body of mass $2\text{ kg}$ at rest on a frictionless horizontal surface as shown in the force against time ($F-t$) graph. The speed of the body after 1 second is

If $$\int_{0}^{a} \sqrt{\frac{a-x}{x}} \, dx = \frac{k}{2}$$ then $k =$

Let $a : \sim(p \wedge \sim r) \vee (\sim q \vee s)$ and $b : (p \vee s) \leftrightarrow (q \wedge r)$. If the truth values of $p$ and $q$ are true and that of $r$ and $s$ are false, then the truth values of $a$ and $b$ are respectively

The rate of flow of heat through a copper rod with a temperature difference of $28^\circ\text{C}$ is $1400\text{ cal}\cdot\text{s}^{-1}$. The thermal resistance of the copper rod will be