Question

The de-Broglie wavelength of a body of mass 1000 g moving with a velocity of $3000m/sec$ is:

• A. $2.208\times {10}^{-31}$ m
• B. $2.208\times {10}^{-40}$ m
• C. $2.208\times {10}^{-37}$ m
• D. $220.8\times {10}^{-37}$ m

Answer 1

The correct option is C $2.208\times {10}^{-37}$ m

Given:
Velocity of the body = $3000$ m/sec
Mass of the body = $1Kg$

$\lambda$ = $\frac{h}{mv}$
$\lambda$ = $\frac{6.626\times {10}^{-34}}{1\times 3000}$ = $2.208\times {10}^{-37}$ m