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Structure Of Atom

Question
CBSEENCH11005303

The velocity associated with a proton moving in a potential difference of 1000V is 4.37 x 105 ms-1. If the hockey ball of mass 0.1 kg is moving with this velocity, calculate the wavelength associated with this velocity. 

Solution
According to de-Broglie equation
space space space space straight lambda space equals space straight h over mv space space space space space space... left parenthesis 1 right parenthesis
space space space space space Here space straight h equals 6.626 space cross times 10 to the power of negative 34 end exponent kg space straight m squared straight s to the power of negative 1 end exponent
space space space space space space space straight m equals space space 0.1 space kg semicolon space straight v space equals space 4.37 space cross times space 10 to the power of 5 ms to the power of negative 1 end exponent
Substituting space the space values space in space equation left parenthesis 1 right parenthesis comma space we space have
straight lambda space equals fraction numerator 6.626 space cross times space 10 to the power of negative 34 end exponent kg space straight m squared straight s to the power of negative 1 end exponent over denominator left parenthesis 0.1 space kg right parenthesis cross times left parenthesis 4.37 space cross times 10 to the power of 5 space ms to the power of negative 1 end exponent right parenthesis end fraction
space space space equals 1.516 space cross times 10 to the power of negative 28 end exponent straight m