HSC Science (Computer Science) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions

Obtain an expression for de-Broglie wavelength of wave associated with material particles. The photoelectric work function for metal is 4.2 eV. Find the threshold wavelength.

An electron is accelerated through a potential difference of 100 volts. Calculate de-Broglie wavelength in nm.

Calculate the velocity of a particle performing S.H.M. after 1 second, if its displacement is given by x = `5sin((pit)/3)`m.

A wire 5 m long is supported horizontally at a height of 15 m along an east-west direction. When it is about to hit the ground, calculate the average e.m.f. induced in it. (g = 10 m/s²)

A metal ring has a moment of inertia 2 kg·m² about a transverse axis through its centre. It is melted and recast into a thin uniform disc of the same radius. What will be the disc's moment of inertia about its diameter?

Calculate the energy of the electron in the ground state of the hydrogen atom. Express it in joule and in eV.

The gauge pressure 1 mm below the water surface open to the atmosphere is [Density of water = 10³ kg/m³, atmospheric pressure = 101.3 kPa, g = 10 m/s²]

A uniform disc of mass 10 kg and radius 60 cm rotates about an axis perpendicular to its plane and passing through its centre at 1200 rpm. Calculate its rotation kinetic energy. [Take π² = 10]

Calculate the radius of the first Bohr orbit in the hydrogen atom.

Assuming the expression for the pressure P exerted by an ideal gas, prove that the kinetic energy per unit volume of the gas is `3/2` P.

What is the origin of spectral lines? Obtain an expression for the wave number of a line in hydrogen spectrum.

Find the momentum of the electron having de Broglie wavelength of 0.5 A.

For a particle performing circular motion, when is its angular acceleration directed opposite to its angular velocity?

What is a stationary wave?

Given the nuclear radius of ¹⁶O is 3.024 fm, find that of ²³⁵U.

Show that the angular speed of an electron in the nth Bohr orbit is w = `(πme^4)/(2ε_0^2h^3n^3)` and the corresponding frequency of the revolution of the electron is f = `(me^4)/(4ε_0^2h^3n^3)`.

State and prove the theorem of the parallel axis about the moment of inertia.

State the expressions for the displacement, velocity and acceleration draw performing linear SHM, starting from the positive extreme position. Hence, their graphs with respect to time.

The half-life of `""_82^210Pb` is 22.3 y. How long will it take for its activity 0 30% of the initial activity?

According to the kinetic theory of gases, at a given temperature, molecules of all gases have the same ______.