Question

The ratio of area of first excited state to ground state of orbit of hydrogen atom is

• A. 1:16
• B. 1:8
• C. 4:1
• D. 16:1

Answer 1

The Correct Option is D

The area of an orbit is proportional to the square of its radius.
For hydrogen atoms, the radius of the first excited state is four times the radius of the ground state. 
Since the area is proportional to \( r^2 \), the ratio of the areas is:\(\ \left(\frac{4r}{r}\right)^2 = 16:1\)