• # question_answer The de-Broglie wavelength associated with a particle of mass ${{10}^{-6}}kg$ moving with a velocity of $10\,\,m{{s}^{-1}}$, is [AIIMS 2001] A)                 $6.63\times {{10}^{-22}}m$      B)                 $6.63\times {{10}^{-29}}\,m$ C)                 $6.63\times {{10}^{-31}}\,m$ D)                 $6.63\times {{10}^{-34}}\,m$

Mass of the particle $(m)={{10}^{-6}}$kg and velocity of the particle $(v)=10\,m{{s}^{-1}}$                 $\lambda =\frac{h}{mv}=\frac{6.63\times {{10}^{-34}}}{{{10}^{-6}}\times 10}=6.63\times {{10}^{-29}}m$