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According to Bohr's theory En= Total energy, Kn= Kinetic energy, Vn= Potential energy,...

According to Bohr's theory En= Total energy, Kn= Kinetic energy, Vn= Potential energy, rn= Radius of nth orbit


(A) R, (B) Q, (C) P, (D) Q

(A) S, (B) R, (C) R, (D) S

(A) R, (B) Q, (C) P, (D) S

(A) S, (B) P, (C) R, (D) Q
Solution:
According to Bohr's theory,
Total energy is En=Kn+Vn
Kinetic energy =Kn=18πε0Ze2r
Potential energy =Vn=14πε0Ze2r
En=18πε0Ze2r14πε0Ze2r
Radius of nth orbit (rn)=n2h2ε0πmZe2 E_n=-\frac{m e^4}{8 \varepsilon_0^2 h^2} \times \frac{1}{n^2} (A) VnKn=14πε0Ze2r18πε0Ze2r=2
Hence, (A) match with (R).
(B) En1n2 or En1rn
Radius of nth orbit rnExn x=1
Hence, (B) match with (Q).
(C) Angular momentum =h2πl(l+1)l=0,1,2,
For the lower orbit n=1
l=0 and m=0
Hence, angular momentum of lowest orbit =h2π0(0H)=0
(C) match with (P)
(D) 1rnZy as rn1Zy=1
Hence, (D) match with (S).