Question

The ratio between Bohr radii is(a) 1 : 2 : 3(b) 2 : 4 : 6(c) 1 : 4 : 9(d) 1 : 3 : 5

Answer 1

$<b>$

option C is Correct

Answer 2

Answer:

c) 1:4:9

Explanation:

The Bohr radius is the mean radius of an electron's orbit around the nucleus of a hydrogen atom at its ground state ie the lowest-energy level. The value of the radius is a physical constant and is approx equal to 5.29177 x 10 -11 m

Thus as per Bohr method -

Atomic number z = 1.

Hence the radius of nth orbit rn = 0.529n²A

For first three orbits , n values are 1, 2 and 3

ratio of radii of first three orbit = r1:r2:r3 = n²1:n²2:n²3

= 12:22:32

= 1:4:9

Thus, the ratio between Bohr radii is 1:4:9