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Q.

If the de-Broglie wavelength of a particle of mass m is 100 times its velocity, then its value in terms of its mass (m) and Planck’s constant (h) is

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a

large frac{1}{10}sqrt{frac{m}{h}}

 

b

10sqrt{frac{h}{m}}

 

c

frac{1}{10}sqrt{frac{h}{m}}

 

d

10sqrt{frac{m}{h}}

 

answer is B.

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Detailed Solution

lambda =frac{h}{mv}

 

 

given ,

lambda =100V

 

         

V=frac{lambda }{100}

 

        

lambda =frac{h}{mleft( frac{lambda }{100} right)}

 

     

{{lambda }^{2}}=frac{100h}{m}

 

     

lambda =10sqrt{frac{h}{m}}

 

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