HSC Science कक्षा ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Physics

An ideal gas is taken in a cyclic process as shown in the figure. Calculate

1. work done by the gas
2. work done on the gas
3. Net work done in the process

For a given ideal gas 6 × 10⁵ J heat energy is supplied and the volume of gas is increased from 4 m³ to 6 m³ at atmospheric pressure. Calculate

1. the work done by the gas
2. change in internal energy of the gas
3. graph this process in PV and TV diagram

For a particular tube, among six harmonic frequencies below 1000 Hz, only four harmonic frequencies are given: 300 Hz, 600 Hz, 750 Hz and 900 Hz. What are the two other frequencies missing from this list?

Let y = `1/(1 + x^2)` at  t = 0 be the amplitude of the wave propagating in the positive x-direction. At t = 2s, the amplitude of the wave propagating becomes y = `1/(1 + (x - 2)^2)`. Assume that the shape of the wave does not
change during propagation. The velocity of the wave is:

What is a stationary wave?

Explain the formation of stationary waves.

Write the characteristics of stationary waves.

Discuss the law of transverse vibrations in stretched strings.

Explain the concepts of fundamental frequency, harmonics and overtones in detail.

What is a sonometer? Give its construction and working. Explain how to determine the frequency of tuning fork using a sonometer.

A sound wave is transmitted into a tube as shown in the figure. The sound wave splits into two waves at point A which recombine at point B. Let R be the radius of the semi-circle which is varied until the first minimum. Calculate the radius of the semi-circle if the wavelength of the sound is 50.0 m.

Police in a siren car moving with a velocity 20 ms^– chases a thief who is moving in a car with a velocity v₀ ms^-1. The police car sounds at frequency 300 Hz, and both of them move towards a stationary siren of frequency 400 Hz. Calculate the speed in which thief is moving. (Assume the thief does not observe any beat)

The dimensional formula of Planck's constant h is ______

The velocity of a particle v at an instant t is given by v = at + bt². The dimensions of b are ______ 

The dimensional formula for gravitational constant G is ______

If the force is proportional to the square of velocity, then the dimension of the proportionality constant is ______

The dimension of `(mu_0ε_0)^{1/2}` is ______

A length-scale (l) depends on the permittivity (ε) of a dielectric material, Boltzmann constant (kB), the absolute temperature (T), the number per unit volume (n) of certain charged particles, and the charge (q) carried by each of the particles. Which of the following expression for l is dimensionally correct?.

What are the limitations of dimensional analysis?

Write a short note on the following.

Dimensionless quantities