Imagine that in a certain physics experiment we have a plasm

Imagine that in a certain physics experiment, we have a plasma of ionized oxygen atoms emerging from an opening in a furnace with a temperature of 3300K. We then use a velocity selector (such as the one discussed in unit E) which passes only ions within ±0.01km/s of 2km/s. If we need about 3×10^12 ions per second with the selected speed for our experiment, about how many ions per second must the furnace emit? (We can use this information to help determine what furnace to order.)

Solution

If we need about 3 x 10¹² ions per second with the selected speed for our experiment, then the number of ions per second must the furnace emit which given as :

N = (3 x 10¹² ions per second) [(2 km/s) + (0.01 km/s) / (2 km/s) - (0.01 km/s)]

N = (1 x 10¹² ions per second) (1.01)

N = 3.01 x 10¹² ions/sec