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Question

Chemistry Question on Structure of atom

What will be the wavelength of a ball of mass 0.1 kg{0.1\, kg} moving with a velocity of 10m s−1{10 m\, s^{-1}} ?

A

5.625×10−24 m−1{5.625 \times 10^{-24} \, m^{-1}}

B

5.625×1034 m{5.625 \times 10^{34} \, m}

C

6.626×1034 m{6.626 \times 10^{34} \, m}

D

66.26×1024 m−1{66.26 \times 10^{24} \, m^{-1}}

Answer

6.626×1034 m{6.626 \times 10^{34} \, m}

Explanation

Solution

According to de Broglie equation,
λ=hmv=6.626×10−34Js0.1kg×10ms−1\lambda = \frac{h}{mv}= {\frac{6.626 \times10^{-34}Js}{0.1 kg \times10 ms^{-1}}}
=6.626×10−34 m(J=kg m2 s−2)= { 6.626 \times 10^{-34} \, m (J = kg \, m^2 \, s^{-2})}