Q.

A proton is fired from very far away towards a nucleus with charge Q=120e, where e is the electronic charge. It makes a closest approach of 10 f m to the nucleus. The de Broglie wavelength (in units of f m) of the proton at its start is (take the proton mass,
   
mp=53×1027  k  g;he=4.2×1015J.s/C;14π0=9×109

m/F;1fm=1015m)

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answer is 7.

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Detailed Solution

Iω=nh2πmr22πf=nh2πf=nh4π2mr2 r=r0n2andN=ft=8×106 

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