How fast must two deuterium atoms be moving so they can overcome the Coulomb force of repulsion,and attain the necessary 10−¹⁴ m for fusion? (m( )= 2.014 1 u) A)3.9 × 10⁶ m/s B)1.3 × 10⁶ m/s C)2.6 × 10⁶ m/s D)5.2 × 10⁶ m/s E)3.7 × 10⁶ m/s

Question

Quizplus · Accepted Answer

The necessary speed for fusion can be found using the equation:

v = sqrt[(2*q)/m * (1/d)]

where v is the necessary speed, q is the charge of each deuterium atom (which is equal to the charge of an electron), m is the mass of a single deuterium atom (2.0141 u), and d is the distance between the two atoms (10^-14 m).

Plugging in the values, we get:

v = sqrt[(2*1.6022*10^-19 J)/(2.0141*1.6605*10^-27 kg) * (1/10^-14 m)]
v = 2.6 x 10^6 m/s

Therefore, the best choice is C.

How Fast Must Two Deuterium Atoms Be Moving So They