a tennis ball of mass 6*10^-2 kg is moving with a speed of 62 m/sec. calculate the wavelength associated with ts moving tennis ball. I will the movement of ts ball exbit a wave character?
Answers
Answered by
124
Use De- - broglie's wavelength formula ,
λ = h/P , here h is plank's constant and P is linear momentum of particle
Given, mass of body , m = 6 × 10⁻² Kg
velocity of body , v = 62 m/s
so, momentum , P = mass × velocity = 6 × 52 × 10⁻² Kgm/s
= 3.12 Kgm/s
Now, wavelength , λ = 6.626 × 10⁻³⁴/3.12 m [ plank's constant, h = 6.626 × 10⁻³⁴Js]
λ = 2.1 × 10⁻³⁴ m , here you can see wavelength associated by tennis ball is so small , negligible . So we should consider particle nature . That's what said de - broglie's in his Theory , " any object have dual nature , particle as well as wave . When object is very small and speed of it is very high then it considered as a wave because wavelength will be able to compare . But when particle is large and speed of it is low then it considered as particle .
λ = h/P , here h is plank's constant and P is linear momentum of particle
Given, mass of body , m = 6 × 10⁻² Kg
velocity of body , v = 62 m/s
so, momentum , P = mass × velocity = 6 × 52 × 10⁻² Kgm/s
= 3.12 Kgm/s
Now, wavelength , λ = 6.626 × 10⁻³⁴/3.12 m [ plank's constant, h = 6.626 × 10⁻³⁴Js]
λ = 2.1 × 10⁻³⁴ m , here you can see wavelength associated by tennis ball is so small , negligible . So we should consider particle nature . That's what said de - broglie's in his Theory , " any object have dual nature , particle as well as wave . When object is very small and speed of it is very high then it considered as a wave because wavelength will be able to compare . But when particle is large and speed of it is low then it considered as particle .
Similar questions