Question

A 0.66 kg ball is moving with a speed of 100 m/s. The associated wavelength will be:

[$h=6.6\times {10}^{-34}$ J.s]

• A. $6.6\times {10}^{-32}$ m
• B. $6.6\times {10}^{-34}$ m
• C. $1.0\times {10}^{-35}$ m
• D. $1.0\times {10}^{-32}$ m

Answer 1

Answer: (C)

$1.0\times {10}^{-35}$ m

According to de-Broglie equation, $\lambda =\frac{h}{mv}$
Given, $h=$ 6.6 x 10${}^{-34}$ Js

$m=$ 0.66 kg

$v=$ 100 ms${}^{-1}$

Substitute values in the above expression.

$\lambda =\frac{6.6\times {10}^{-34}}{0.66\times 100}=1\times {10}^{-35}$ m

Thus, the associated wavelength is $1.0\times {10}^{-35}$ m.

Hence, the correct option is $C$