MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions

Newton's universal law of gravitation applies to ______.

If three equal masses m are placed at the three vertices of an equilateral triangle of side 1/m then what force acts on a particle of mass 2m placed at the centroid?

A glass flask is filled up to a mark with 50 cc of mercury at 18°C. If the flask and contents are heated to 38°C, how much mercury will be above the mark? (α for glass is 9 × 10^-6/°C and coefficient of real expansion of mercury is 180 × 10^-6/°C)

An electron of mass m and charge e initially at rest gets accelerated by a constant electric field E. The rate of change of de-Broglie wavelength of this electron at time t ignoring relativistic effects is ______.

For a particle moving in vertical circle, the total energy at different positions along the path ______.

From Brewster's law, except for polished metallic surfaces, the polarising angle ______.

When an electron in hydrogen atom revolves in stationary orbit, it ______.

A clock with an iron pendulum keeps the correct time at 15°C. If the room temperature is 20°C, the error in seconds per day will be near ______.

(coefficient of linear expansion of iron is 1.2 × 10^-5/°C) 

Two gases A and B are at absolute temperatures of 360 K and 420 K, respectively. The ratio of the average kinetic energy of the molecules of gas B to that of gas A is ______.

The Young's modulus of brass and steel are respectively 1.0 × 10¹¹ Nm^-2 and 2.0 × 10¹¹ Nm^-2. A brass wire and a steel wire of the same length are extended by 1 mm each under the same force. If the radii of brass and steel wire are R_B and R_S respectively, then ______.

The triply ionised beryllium (Be⁺⁺⁺) has the same electron orbital radius as that of the ground state of the hydrogen atom. The energy state (n) of triply ionised beryllium is ______.

(Z for beryllium = 4)

The orbital frequency of an electron in the hydrogen atom ______.

The speed of an electron in ground state energy level is 2.6 × 10⁶ ms^-1, then its speed in third excited state will be ______.

When the temperature of an ideal gas is increased from 27°C to 227°C, its speed is changed from 400 ms^-1 to v_s, and Then v_s is ______.

When a particle oscillates simple harmonically, its kinetic energy varies periodically. If frequency of the particle is n, then the frequency of the kinetic energy is ______.

A metal rod Y = 2 × 10¹² dyne cm^-2 of coefficient of linear expansion 1.6 × 10^-5 per °C has its temperature raised by 20°C. The linear compressive stress to prevent the expansion of the rod is ______.

Let E_e and E_p represent the kinetic energy of electron and photon, respectively. If the de-Broglie wavelength λ_p of a photon is twice the de-Broglie wavelength λ_e of an electron, then `E_p/E_e` is ______.

(speed of electron = `c/100`, c = velocity of light)

Ultraviolet light of wavelength 300 nm and intensity 1.0 Wm⁻² falls on the surface of a photosensitive material. If one percent of the incident photons produce photoelectrons, then the number of photoelectrons emitted from an area of 1.0 cm² of the surface is nearly ______.

In Bohr’s atomic model, speed and time period of revolution of an electron in n = 3 level are respectively.

The extension in a wire obeying Hooke's law is x. The speed of sound in the stretched wire is v. If the extension in the wire is increased to 4x, then the speed of sound in a wire is