List of top Questions asked in MHT CET- 2021

The wave number of the last line of the Balmer series in the hydrogen spectrum will be ($R = 10^7\text{ m}^{-1}$)

If $E$ is the kinetic energy per mole of an ideal gas and $T$ is the absolute temperature, then the universal gas constant ($R$) is given as

In thermodynamics, for an isochoric process, which one of the following statement is INCORRECT?

In an ideal junction diode, the current flowing through PQ is

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The ratio of energy required to raise a satellite of mass $m$ to height $h$ above the earth's surface to that required to put it into the orbit at same height is ($R$ = radius of earth)

When a piece of polythene is rubbed with wool, a negative charge of $4 \times 10^{-7}\text{ C}$ is developed on the polythene. The number of electrons transferred from wool to polythene is [$e = 1.6 \times 10^{-19}\text{ C}$]

Ratio of centripetal acceleration for an electron revolving in 3rd and 5th Bohr orbit of hydrogen atom is

In Young's double-slit experiment, interference fringes are obtained on a screen placed at a distance of $75\text{ cm}$ from the slits. When the separation between the two narrow slits is doubled, the fringe width decreases. In order to maintain the initial fringe width, the screen should be moved through a distance of

Equal volumes of two gases are kept in different containers having densities in the ratio $1 : 16$. They exert equal pressures on the wall of their respective containers. Then the ratio of their r.m.s. velocities is

Three bodies $P$, $Q$, and $R$ have masses $m\text{ kg}$, $2m\text{ kg}$, and $3m\text{ kg}$ respectively. If all the bodies have equal kinetic energy, then the greater momentum will be for body/bodies

A molecule of mass $m$ moving with velocity $v$ makes 5 elastic collisions with a wall of container per second. The change in momentum of the wall per second in 5 collisions will be

A current through 1 ohm resistance in the following circuit is

Combination of NAND gates is shown in the figure. It is equivalent to

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For a body of mass \(m\), the acceleration due to gravity at a distance \(R\) from the surface of the earth is \(\frac{g}{4}\). Its value at a distance \(\frac{R}{2}\) from the surface of the earth is (\(R =\) radius of the earth, \(g =\) acceleration due to gravity)

A particle performs rotational motion with an angular momentum \(L\). If frequency of rotation is doubled and its kinetic energy becomes one fourth, the angular momentum becomes.

Equation of two simple harmonic waves are given by \(Y_1 = 2 \sin 8\pi \left( \frac{t}{0.2} - \frac{x}{2} \right) m\) and \(Y_2 = 4 \sin 8\pi \left( \frac{t}{0.16} - \frac{x}{1.6} \right) m\) then both waves have

The inductive reactance of a coil is \(R\ \Omega\). If the inductance of a coil is doubled and frequency of a.c. supply is also doubled then the new inductive reactance will be

What is the ratio of the velocity of sound in hydrogen (\(\gamma = \frac{7}{5}\)) to that in helium (\(\gamma = \frac{5}{3}\)) at the same temperature? (Molecular weight of hydrogen and helium is 2 and 4 respectively.)

A moving coil galvanometer is converted into an ammeter, reading upto 0.04 A by connecting a shunt of resistance \(3r\) across it and then into an ammeter reading upto 0.8 A, when a shunt of resistance \(r\) is connected across it. What is the maximum current which can be sent through this galvanometer if no shunt is used?

Under isothermal conditions, two soap bubbles of radii \(r_1\) and \(r_2\) combine to form a single soap bubble of radius \(R\). The surface tension of soap solution is (\(P = \text{outside pressure}\))

In a capillary tube having area of cross-section \(A\), water rises to a height \(h\). If cross-sectional area is reduced to \(\frac{A}{9}\), the rise of water in the capillary tube is

Water rises upto a height 10 cm in a capillary tube. It will rise to a height which is much more than 10 cm in a very long capillary tube if the apparatus is kept.

In LCR series resonant circuit, at resonance, voltage across \(L\) and \(C\) will cancel each other because they are

Two identical parallel plate air capacitors are connected in series to a battery of emf \(V\). If one of the capacitors is inserted in liquid of dielectric constant \(K\), then potential difference of the other capacitor will become

Two coherent sources of wavelength \(\lambda\) produce steady interference pattern. The path difference corresponding to \(10^{\text{th}}\) order maximum will be