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17/08/2021 10:57 am
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The Li2+ ion is moving in the third stationary state, and its linear momentum is 7.3 × 10–34 kgms–1. Angular momentum is.
(a) 1.158 × 10–45 kg m2 s–1
(b) 11.58 × 10–48 kg m2 s–1
(c) 11.58 × 10–47 kg m2 s–1
(d) 12 × 10–45 kg m2s–1
1 Answer
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17/08/2021 11:00 am
Correct answer: (b) 11.58 × 10–48 kg m2 s–1
Explanation:
Z = 3 for Li2+ ions
So rn = \(\frac{52.9 \times n^2}{Z}\)pm
n = 3, Z = 3
rn = \(\frac{52.9 \times 3^2}{3}\) pm
= 158.7 pm
Also, linear momentum (mv) = 7.3 × 10–34 kgms–1
Then angular momentum will be
ω = mv x v
= (7.3 × 10–34 kgms–1)(158.7 pm)
= 7.3 × 10–34 kgms–1 x 158.7 x 10–12m
= 11.58 × 10–48 kg m2 s–1