What will be the wavelength of a ball of mass 0.1 kg moving with a velocity of 10 ms^-1?

Solution

According to de-Broglie equation

space straight lambda space equals space straight h over mv space space... left parenthesis 1 right parenthesis

space space space space space space space Here space straight h space equals space 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 comma straight m space equals space 0.1 space kg semicolon space space straight v equals space 10 space ms to the power of negative 1 end exponent Putting space the space values space in space eq left parenthesis 1 right parenthesis space we space have comma space space space space straight lambda space equals space fraction numerator 6.626 space cross times space 10 to the power of negative 34 end exponent kgm squared straight s to the power of negative 1 end exponent over denominator left parenthesis 0.1 space kg right parenthesis space cross times space left parenthesis 10 space ms to the power of negative 1 end exponent right parenthesis end fraction space space space space space equals space 6.626 space cross times space 10 to the power of negative 34 end exponent straight m

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