A particle of mass 1.0 g is moving in a one-dimensional box of length 1.0 cm...

Question

Question

A particle of mass 1.0 g is moving in a one-dimensional box of length 1.0 cm with a velocity 1.0 cm/s. Find its quantum number n.

Answer 1

Answer #1

THE KINETIC ENERGY OF PARTICLE IS EQUAL TO THE TOTAL ENERGY

m=.001kg,v=.01m/s,l=.01m

kinetic energy =1/2mv²

=1/2*.001*.01*.01

=5*10^-8J

NOW THIS ENERGY MUST BE EQUAL TO THE ENERGY OF A PARTICLE IN ONE D BOX WHICH IS GIVEN BY

E=n²h²/8ml²

substituting values

5*10^-8=n²h²/8ml²

n² =5*10^-8*8*.001*.01*.01/(6.26*10^-34)²

FINALLY THE VALUE OF n is comes out to be 3*10²⁶

Answer 2

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