HSC Science (Electronics) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

What are the limitations of the first law of thermodynamics?

The molar specific heat of an ideal gas at constant pressure and constant volume is 'C_p' and 'C_v' respectively. If 'R' is the universal gas constant and the ratio 'C_p' to 'C_v' is 'γ' then C_V = ______.

Give any two types of a thermodynamic process.

An electron in an atom is revolving round the nucleus in a circular orbit of radius 5.3 × 10^-11 m with a speed of 3 × 10⁶ m/s. Find the angular momentum of electron.

The difference between the two molar specific heats of gas is 9000 J/kg K. If the ratio of the two specific heats is 1.5, calculate the two molar specific heats.

Prove that the frequency of beats is equal to the difference between the frequencies of the two sound notes giving rise to beats.

Define Capacitive reactance.

Two tuning forks of frequencies 320 Hz and 340 Hz are sounded together to produce a sound wave. The velocity of sound in air is 326.4 m/s. Calculate the difference in wavelengths of these waves.

Explain why velocity increases when water flowing in a broad pipe enters a narrower pipe. A sonometer wire, 36 cm long, vibrates with a frequency of 288 Hz in the fundamental mode when it is under a tension of 24.5 N. Calculate the linear density of the material of the wire

If beat frequency is 2 Hz, what is the time interval between success waxings?

A stretched string 0.7 m long and fixed at its ends vibrates in the second overtone of frequency 300 Hz. Find the speed of the transverse wave on the string.

When two kilocalories of heat are supplied to a system, the internal energy of the system increases by 5030 J and the work done by the gas against the external pressure is 3350 J. Calculate J, the mechanical equivalent of heat.

Explain the thermodynamic process.

Which magnetic properties are desirable for making a permanent magnet?

Define moment of inertia.

A sonometer wire under a tension of 40 N vibrates in unison with a tuning fork of frequency 384 Hz. Find the beat frequency when the tension in the wire is reduced by 0.21 N.

How does the fundamental frequency of a vibrating string depend on the radius of the cross-section of the string and the mass density material of the string?  

Two organ pipes closed at one end have the same diameters but different lengths. Show that the end correction at each end is e = `(n_1l_1 - n_2l_2)/(n_2 - n_1)`, where the symbols have their usual meanings. Take `γ = 5/3`.

Two wires, each 1 m long and of the same diameter, have densities 8 × 10³ kg/m³ and 2 × 10³ kg/m³ and are stretched by tensions 196 N and 49 N respectively. Compare their fundamental frequencies.

Prove that for pipe closed at one end, the end correction is `e = (n_2l_2-n_1l_1)/(n_1-n_2)`