Question

$C{o}_{60}$ emerging from a source at a speed (v) has a de Broglie wavelength of 11.0 $\stackrel{\circ }{A}$. The value of v $\left(inm{s}^{–1}\right)$ is closest to [Planck’s constant h = $6.626\times {10}^{–34}Js]$

• A. 0.5
• B. 2.5
• C. 5
• D. 30

Answer 1

The correct option is A 0.5

$\lambda =\frac{h}{mv}\Rightarrow v=\frac{h}{m\lambda }MassofC{o}_{60}is=720.66g/molSo,for1atomm=\frac{720\times {10}^{-3}}{6.022\times {10}^{23}}=\frac{6.62\times {10}^{-34}\times 6.022\times {10}^{23}}{720\times {10}^{-3}\times 11\times {10}^{-10}}=0.5m/s$