Question

what is the ratio of area of orbit of first excited state of electron to the area of orbit of ground level for hydrogen atom​

Answer 1

the ratio of the area is 16.1

we know that,

the square of radius of the orbit is directly proportionat to power of four of the number of state

x2×n4

where,n is the number of state

the hydrogen for excited state

A1×n4_1

here,n=2for excited state.

The area of hydrogen for ground state

A0×n4_0

Here n=1 for ground state.

Now, The ratio of areas between the electron orbit for the first excited state to the ground state for the hydrogen atom isA1_A0=(n1_no)4

à1_à0=(2_1)4

a1_à0=16_1