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Question:

The allowed energy for the particle for a particular value of n is proportional to :

a𕒵

a𕒶

a2

a𕒷/2

Solution:

a=nλ²
De broglie wavelength λ=h/mv
Subsitute
p=nh/2a
E=1/2mv²=p²/2m=n²h²/8a²m