The de-Broglie wavelength of a tennis ball of mass \(60 \mathrm{~g}\) moving with a velocity of \(10…
The de-Broglie wavelength of a tennis ball of mass \(60 \mathrm{~g}\) moving with a velocity of \(10 \mathrm{~ms}^{-1}\) is approximately ____ (Planck's constant \(\left.h=6.63 \times 10^{-34} \mathrm{~J} . \mathrm{s}ight)\)
\(1.1 \times 10^{-31} \mathrm{~m}\)
\(1.1 \times 10^{-33} \mathrm{~m}\)
\(1.1 \times 10^{-34} \mathrm{~m}\)
\(1.1 \times 10^{-32} \mathrm{~m}\)
Solution
de-Broglie's wave equation is
\(\begin{aligned}
& \lambda=\frac{h}{m v}=\frac{6.63 \times 10^{-34}}{\left(60 \times 10^{-3}ight) \times 10}=1.10 \times 10^{-33} \mathrm{~m} \\
& {\left[m=\text { mass of the ball }=60 \mathrm{~g}=60 \times 10^{-3} \mathrm{~kg},ight.} \\
& \left.v=\text { velocity of the ball }=10 \mathrm{~ms}^{-1}ight]
\end{aligned}\)