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The total energy of electron in the second excited state is -2E. What is its potential energy in the same state with proper sign?

Asked in GUJCET 2011 · Energy levels and ionisation

Answer: (2) -4E

Step-by-step solution

Given: total energy Eₜₒₜ=-2E. Which orbit it is does not matter.

Idea: in every Bohr orbit K=(ke²)/(2r) and U=-(ke²)/r, so Eₜₒₜ=K+U=U/2.

Hence U=2Eₜₒₜ.

U=2×(-2E)=-4E.

Why the other options are wrong

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