Engineering Physics (past papers) PYQs

Write down the postulates of special theory of relativity.

Establish the relation $E^2=p^2c^2+m_0^2c^4$. **OR** \raggedright Derive addition of velocities theorem.

What is the length of a meter stick moving parallel to its length when its mass is 3/2 times of its rest mass?

Describe the experiment by which we can demonstrate the wave particle duality phenomenon.

An electron is bound in one dimensional potential box which has width $2.5\times 10^{-10}\,\mathrm{m}$. Assuming the height of the box to be infinite. Calculate the lowest two permitted energy values of the electron. Given that: $m_e=9.1\times10^{-31}\,\mathrm{kg}$, $h=6.64\times10^{-34}\,\mathrm{J\,s}$.

Show that $v_p\times v_g=c^2$ where $v_p$ = wave velocity or phase velocity and $v_g$ = group velocity.

On which frequency A. C. electricity works in India?

What is the role of least count while taking observation inside the laboratory?