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

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

Assuming that the frequency γ of a vibrating string may depend upon i) applied force (F) ii) length (l) iii) mass per unit length (m), prove that ϒ ∝ `1/lsqrt(F/m)` using dimensional analysis.

The efficiency of a heat engine working between the freezing point and boiling point of water is ____________.

State Clausius form of the second law of thermodynamics.

State Kelvin-Planck's statement of the second law of thermodynamics.

Define heat engine.

What are the processes involves in a Carnot engine?

State the second law of thermodynamics in terms of entropy.

Why does heat flow from a hot object to a cold object?

Explain the heat engine and obtain its efficiency.

Explain in detail the Carnot heat engine.

Derive the expression for Carnot engine efficiency.