Question

A body of mass 10g is moving with a velocity of 100 $m{s}^{-1}$. The wavelength associated with it is :

• A. $6.626\times {10}^{-7}m$
• B. $6.626\times {10}^{-34}m$
• C. $6.626\times {10}^{-4}m$
• D. $6.626\times {10}^{-35}m$

Answer 1

Answer: (B)

$6.626\times {10}^{-34}m$

According to de Broglie's equation

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

where, $\lambda =$ de-Broglie wavelength

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

$m=$mass of object=10 g= 0.01 kg and $v=$ velocity$=100$ m/s

upon substitution we get:

$\lambda =\frac{6.626\times {10}^{-34}}{0.01\times 100}$

$\lambda =6.626\times {10}^{-34}$m