Question

6.6x10-34
Calculate the de-Broglie wavelength of helium of 27°C moving with a
7.
h
velocity of 2.4 x 102 metre/second.
7= -
11​

Answer 1

Answer:

Explanation:

Calculate the de Broglie wavelength associated with an α-particle having an energy of 7.7×10−13J ... 6.56×10−10cm. ... The de-Broglie wavelength of a tennis ball of mass 66 g moving with the velocity of 10 metre per second approximately:.

Answer 2

Energy E=  3/2 KT where K= Boltzmann constant.

3 /2 KT=  1 /2  mv  ²⟹mv=  √3mKT

​

 ∴λ= h / mv =  h /√3mKT

​ For Helium atom, m=  4×10  ⁻³/6.02×10 ²³ =6.64×10  ⁻²⁷ kg

T = 27+273 = 300K and K=1.38×10  ⁻²³JK ⁻¹

∴λ= 6h /√ 3mKT

​ =  6.6×10⁻³⁴/3×6.64×10⁻²⁷ ×1.38×10 ⁻²³×300  

≈7.3×10 ⁻¹¹m