Question

1. Compared to a 2 eV photon, a 5 eV photon has

A. lower frequency.

B. shorter wavelength

C. longer wavelength

D. higher speed

E. lower speed

1. A particle is trapped in a small box. Compared to the same particle trapped in a larger box, what can you say about the ground state energy?
   1. If the box is smaller, the energy is greater.

B. If the box is larger, the energy is greater

1. C.The size of the box has no influence on the energy.
2. D. Not enough information is given to answer this question.
3. The mathematical relationship that governs Quantum Mechanics is called
   1. The Schrodinger Equation
   2. The Pauli Principle
   3. The de Broglie Relation
   4. The Heisenberg Uncertainty Principle  

4 . In the spectrum of a blackbody, the wavelength of peak intensity

A.        decreases as temperature increases.

B.        is 0.029 m.

C.        is 0.0029 m.

D.increases as temperature increases.

E. is independent of temperature

5.What is the shortest-wavelength X-ray photon emitted in an X-ray tube subject to 50 kV?

A.        0.025 nm

2. 0.25 nm
3. 2.5 nm
4. 25 nm
5. none of the given answers

Answer 1

1)b) 5eV photon has shorter wavelength as the photon has higher frequency and velocity of photons is constant (velocity of light).

2)a) energy of the particle is inversely proportional to the square of the dimension of box, so for the smaller box the energy of the particle in ground state will be greater.

3) a) Schrodinger wave equation governs quantum mechanics system.

4) a) wavelength of peak intensity decreases as temperature increases (wein displacement law)

5) a) E=h*c/wavelength

wavelength =h*c/E

w=(6.626*3*10^-26)/(1.6*50000*10^-19)

w=2.484*10^-11 m

w=0.02484 nm

w=0.025nm