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

Discuss the necessity of radius of gyration. 

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State the conditions under which the theorems of parallel axes and perpendicular axes are applicable. State the respective mathematical expressions.

If a = 0.72 and r = 0.24, then the value of t_r is ______.

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What will happen to the mean square speed of the molecules of a gas if the temperature of the gas increases?

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A gas in a cylinder is at pressure P. If the masses of all the molecules are made one-third of their original value and their speeds are doubled, then find the resultant pressure.

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Show that rms velocity of an oxygen molecule is `sqrt2` times that of a sulfur dioxide molecule at S.T.P.

At what temperature will oxygen molecules have same rms speed as helium molecules at S.T.P.? (Molecular masses of oxygen and helium are 32 and 4 respectively).

Compare the rms speed of hydrogen molecules at 127°C with rms speed of oxygen molecules at 27ºC given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.

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The graph shows variation of displacement of a particle performing S.H.M. with time t. Which of the following statements is correct from the graph?

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State the characteristics of stationary waves.

An electron, a proton, an α-particle, and a hydrogen atom are moving with the same kinetic energy. The associated de Broglie wavelength will be longest for ______.

State the importance of Davisson and Germer experiment.

What is the speed of a proton having de Broglie wavelength of 0.08 Å?

In an ideal gas, the molecules possess ______.

If the density of oxygen is 1.44 kg/m³ at a pressure of 10⁵ N/m², find the root mean square velocity of oxygen molecules.

When a gas is heated, its temperature increases. Explain this phenomenon on the basis of the kinetic theory of gases.

Explain, on the basis of the kinetic theory of gases, how the pressure of a gas changes if its volume is reduced at a constant temperature.

Calculate the ratio of the mean square speeds of molecules of a gas at 30 K and 120 K.

Two vessels A and B are filled with the same gas where the volume, temperature, and pressure in vessel A is twice the volume, temperature, and pressure in vessel B. Calculate the ratio of the number of molecules of the gas in vessel A to that in vessel B.

Find the kinetic energy of 5 litres of a gas at STP, given the standard pressure is 1.013 × 10⁵ N/m².