Question
Physics Question on atom structure models
An electron is revolving in its Bohr orbit having Bohr radius of 0.529 Å, then the radius of third orbit is
A
4.761 Å
B
4234 nm
C
5125 nm
D
4496 Å
Answer
4.761 Å
Explanation
Solution
To determine the radius of the third orbit in the Bohr model of an atom, we can use the following formula:
rn = r1 * n2
where:
rn is the radius of the nth orbit
r1 is the Bohr radius (0.529 Å)
n is the principal quantum number (orbit number)
For the third orbit (n = 3), the formula becomes:
r3 = r1 x 32 = 0.529 Å x 9
Calculating the value, we get:
r3 = 4.761 Å
Therefore, the radius of the third orbit is 4.761 Å.
So, the correct option is (A) 4.761 Å.