HSC Science (Computer Science) 12th Standard Board Exam - Maharashtra State Board Important Questions

The root mean square speed of the molecules of a gas is proportional to ______.
[T =Absolute temperature of gas]

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.

Compare the rate of loss of heat from a metal sphere at 827°C with the rate of loss of heat from the same at 427°C, if the temperature of the surrounding is 27°C.

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

Show that the average energy per molecule is directly proportional to the absolute temperature ‘T’ of the gas.

Draw a neat labelled diagram of Ferry’s perfectly black body.

Compare the rms speed of hydrogen molecules at 227°C with the rms speed of oxygen molecules at 127°C. Given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.

Prove the Mayer's relation `C_p - C _v = R/J`

A particle performing linear S.H.M. has a period of 6.28 seconds and a pathlength of 20 cm. What is the velocity when its displacement is 6 cm from mean position?

Define linear S.H.M.

If the metal bob of a simple pendulum is replaced by a wooden bob of the same size, then its time period will.....................

1. increase
2. remain same
3. decrease
4. first increase and then decrease.

A particle in S.H.M. has a period of 2 seconds and amplitude of 10 cm. Calculate the acceleration when it is at 4 cm from its positive extreme position.

Calculate the average molecular kinetic energy :

(a) per kilomole, (b) per kilogram, of oxygen at 27°C.

(R = 8320 J/k mole K, Avogadro's number = 6*03 x 10²⁶ molecules/K mole)

Obtain an expression for potential energy of a particle performing simple harmonic motion. Hence evaluate the potential energy

1. at mean position and
2. at extreme position.

A seconds pendulum is suspended in an elevator moving with constant speed in downward direction. The periodic time (T) of that pendulum is _______.

The pressure (P) of an ideal gas having volume (V) is 2E/3V , then the energy E is _______.

The periodic time of a linear harmonic oscillator is 2π second, with maximum displacement of 1 cm. If the particle starts from extreme position, find the displacement of the particle after π/3  seconds.

The maximum velocity of a particle performing linear S.H.M. is 0.16 m/s. If its maximum acceleration is 0.64 m/s², calculate its period.

The average displacement over a period of S.H.M. is ______.

(A = amplitude of S.H.M.)

Define phase of S.H.M.