Question

What will be the wavelength of a ball of mass 0.1 kg moving with a velocity of $10 m s^{-1}$ ?

NCERT Class XII
Chemistry - Main Course Book I

Chapter 2. Structure of Atom

Answer 1

mass of object=0.1 kg
velocity of object=10m/s
wavelength is given = h/mv
6.626x10^-34 
   0.1x10
wavelength is 6.626x10^-34 m

Answer 2

Answer : The wavelength of the ball is, $6.626\times 10^{-34}m$

Solution :

According to De Broglie equation,

$\lambda=\frac{h}{mv}$

where,

$\lambda$ = wavelength

h = Planck's constant = $6.626\times 10^{-34}Js$

m = mass of ball = 0.1 Kg

v = velocity of object = 10 m/s

Now put all the given values in the above formula, we get the wavelength of the ball.

$\lambda=\frac{6.626\times 10^{-34}Js}{0.1Kg\times 10m/s}=6.626\times 10^{-34}m$

Therefore, the wavelength of the ball is, $6.626\times 10^{-34}m$