Calculate the de Broglie wavelength of an electron accelerated by a potential of 1000 V. Also calculate the wavelength of the X-rays that would be produced when these electrons strike a solid.

Two events happen simultaneously in the frame S at a distance of 3.0 light years apart. In the frame S′, which is moving with a speed v relative to S, the distance between these events is 3.5 light years. Calculate (i) v and (ii) the time interval between these events in the frame S′

State Moseley’s law. Using this law, obtain the frequency of an X-ray line when an L to K transition takes place in a silver atom. Take σ = 3.

Calculate (x) and (px) for the ground state harmonic oscillator eigenfunction.

A spaceship is receding from the earth at a speed of 0.3c. A light on the spaceship emits light of wavelength λ = 4500 Å which appears blue to a passenger on the spaceship. What colour would the light appear to a person on earth?

Plot a graph between binding energy per nucleon as a function of mass number. Write the main features of the curve.

Using the properties: Charge (Q), Lepton number (L), Baryon number (B) show that whether the following processes are allowed or not?

K − + p → Ω^¯ + K ⁺ + K ⁰

π⁺ + p → p + p + ¯n