Question

wavelength associated with a ball of 200g & moving with a speed of 5m/hour is of the order of

Answer 1

h/3600 as wavelength equals h/mv and v in m/s also h is planks constant.

Answer 2

Answer: The wavelength associated with the ball is $23.853\times 10^{-31}m$

Explanation:

To calculate the wavelength of the ball, we will use the equation given by De-Broglie, which is:

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

where,

$\lambda$ = Wavelength of the ball = ?

h = Planck's constant = $6.626\times 10^{-34}kgm^2/s$

m = Mass of the ball = 200 g = 0.200 kg      (Conversion factor: 1kg = 1000g)

v = speed of the ball = 5m/hr = $\frac{5}{3600}m/s$     (Conversion factor: 1 hr = 3600s)

Putting values in above equation, we get:

$\lambda=\frac{(6.626\times 10^{-31}kgm^2/s)\times 3600s}{0.2kg\times 5m}\\\\\lambda=23853.6\times 10^{-34}m\\\\\lambda=23.853\times 10^{-31}m$

Hence, the wavelength associated with the ball is $23.853\times 10^{-31}m$