Calculate the wavelength associated with a ²⁰Ne⁺ ion moving at a velocity of 2.0 × 10⁵ m/s.The atomic mass of Ne-20 is 19.992 amu.(1 amu = 1.66 × 10^-24 g and h = 6.63 × 10^-34 J • s) A)1.0 × 10^-1³ m B)1.0 × 10^-1⁶ m C)1.0 × 10^-1⁸ m D)9.7 × 10¹² m E)2.0 × 10^-1³ cm

Question

Quizplus · Accepted Answer

The de Broglie wavelength is given by:λ = h/pwhere:λ is the wavelengthh is Planck's constantp is the momentumThe momentum of the ion is:p = mvwhere:m is the mass of the ionv is the velocity of the ionThe mass of the ion is:m = 19.992 amu * 1.66 × 10^-24 g/amu = 3.31 × 10^-23 gThe velocity of the ion is:v = 2.0 × 10^5 m/sThe momentum of the ion is:p = (3.31 × 10^-23 g) * (2.0 × 10^5 m/s) = 6.62 × 10^-18 kg m/sThe wavelength of the ion is:λ = h/p = (6.63 × 10^-34 J • s) / (6.62 × 10^-18 kg m/s) = 1.0 × 10^-13 mTherefore, the correct answer is A.

Calculate the Wavelength Associated with a 20Ne+ Ion Moving at a Velocity

Calculate the Wavelength Associated with a ²⁰Ne⁺ Ion Moving at a Velocity