TG EAMCET 2 May 2025 Shift 2 Paper

The kinetic energy (KE) of an electron in a hydrogen atom depends on the energy level (n) it is in.
Here is the formula for kinetic energy at level n :
KEn=‌

13.6

n2

eV
Step 1: Identify the energy levels
The "third excited state" means n=4, and the "fourth excited state" means n=5.
Step 2: Calculate the kinetic energy for n=4
KE3=‌

13.6

42

=‌

13.6

16

eV
Step 3: Calculate the kinetic energy for n=5
KE4=‌

13.6

52

=‌

13.6

25

eV
Step 4: Find the ratio of kinetic energies
‌

KE3

KE4

=‌

‌ 13.6 16

13.6 25

=‌

25

16

So, the ratio of kinetic energies is 25:16.