AP EAPCET 06-Jul-2022 Shift 1 Paper

The radius of Bohr's orbit is given by
mvr=‌

nh

2π

.........(i)
where, mv=p= momentum of electron and. r= radius of orbit and momentum is also given by formula
λ=‌

h

p

or p=‌

h

λ

......(ii)
Combining Eq. (i) and (ii),
‌

hr

λ

=‌

nh

2π

2πr=nλ and also, r∝‌

n2

Z

Therefore, λ=n∕Z
‌‌

λHe+

λH+

=‌

nHe+

ZHe+

×‌

ZH+

nH+

‌‌

λHe+

y

=‌

42

2

×‌

1

1

‌ or ‌λHe+=2y