What is the kinetic energy and velocity of the quantum particle 1.0% in mass tha

Question

What is the kinetic energy and velocity of the quantum particle 1.0% in mass that moves in a ID box of 1.0m in length if its quantum number n is equal to 3.0 times 10^33 ? How accurately would you need to be able to measure the energy of the particle in order to observe the discrete nature of the energy levels? B. A proton is in a ID box in the n=6 stationary state. When it drops down to the n = 4stationary state, it emits radiation with a frequency of 1.5 times 10^14 Hz. What is the length of the box?

Explanation / Answer

Energy of particle can be given as:-

E(n) = (nh/L)^2 /8m

mass= 1000 grams

length= 100cm

putting the value on the equation and h= 6.626*10^-34 J.s

=(3.0*10^33 *6.626*10^-34/100)^2/8*1000

= 4.9391*10^-08 J

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