In order for a thermonuclear fusion reaction of two deuterons (21h+) to occur, the deuterons must collide each with a velocity of about 1×106m/s. what is the wavelength?

2×10⁻¹³ m

Explanation:

1) Data:

particle: deuteron nucleus, ²₁Hλ = ?v = 1×10⁶m/s

2) Formula

De Broglie's equation:  (λ):

           λ = h/(m×v)

           Where h is the Planck constant, h = 6.626×10⁻³⁴ J s

mass of a nucleus = mass of protons + mass of neutrons

3) Solution:

a) mass of ²₁H ²₁H ⇒ 1 neutron and 1 proton ⇒ m = 1.675×10⁻²⁷kg + 1.673×10⁻²⁷kg = 3.348×10⁻²⁷ kg

b) wavelength

λ = h/(m×v) = 6.626×10⁻³⁴ / [(3.348×10⁻²⁷)×(1×10⁶)] = 1.98×10⁻¹³ m Round to one significant figure: 2×10⁻¹³ m

Answer///air resistance,drag;