Quantum Mechanics Answers

Obtain an expression of probability for finding the free particle at position x

confined in a box of length a.

fromplanks law deduce the value of frequency corresponding to peak of (E(not)- V) curve at temp 1000k. In what spectral region does this frequency lie.

Consider a proton as a bound oscillator with a natural frequency of Calculate the energy of its ground and first excited states.

A photon and an electron each have an energy of .eV100.63 What are their wavelengths? Which of these would you use to probe atomic structures?

Two rockets of rest length L approach each other with equal speeds of 0.4c. How long would one rocket appear to the other?

.A transformer that its number of turns in the primary coils is 200 turns, and 400 tuns in the secondary coil, if the supplied voltage difference is 10V, calculate the secondary voltage difference?

The frequency of the light emitted by a galaxy receding from the earth is measured

to be 1.5×103 MHz. Assuming that the wavelength of the light source is 22.5 cm,

calculate how fast the galaxy is receding from the earth?

A photon and an electron each have an energy of

6×10^3.

What are their

wavelengths? Which of these would you use to probe atomic structures?

Inside a spacecraft travelling at a speed of 0.8c with respect to the earth, the time

interval between two events on the earth is measured to be 30 hrs. What would the

time interval be if the spacecraft was travelling at a speed of 0.9c.

A rocket is launched from a spaceship travelling with a speed of 0.8c towards the

earth. If the speed of the rocket is 0.6c, what would be its speed as observed by an

observer on earth if the rocket is moving

(i) towards the earth (ii) away from the earth?