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Answers
Solution :-
Number of electron = n = ?
Time = t = 20 min 40s
t = (20×60+40)s
t = 1240 s
Electric current = I = 40 uA
I = 40 × 10-⁶
Charge on one electron = 1 e = 1.5 × 10-¹⁹ C
charge = Q = ?
I = Q/t
therefore, Q = It
Q = 40 × 10-⁶ × 1240
Q = 49600 × 10-⁶C
Q = 4.96 × 10-² C
Now , Q = n (charge on 1 electron ) = ne
4.96 × 10-² = n × 1.6 × 10-¹⁹
=> 4.96 × 10-² / 1.6 × 10-¹⁹
n = 3.1 × 10 ¹⁷ electrons.
Answer :- 3.1 × 10¹⁷ electrons.
Solution:-
Let,
- the number of electron be n.
⠀
Now,
→ Time = t = 20 min 40s
→ t = (20 × 60 + 40)s
→ t = 1240 s
⠀
Then,
→ Electric current = I = 40 uA
→ I = 40 × 10 -⁶
⠀
→ Charge on one electron = 1 e = 1.5 × 10 -¹⁹ C
→ charge = Q = ?
→ I = Q/t
⠀
→ Q = It
→ Q = 40 × 10 -⁶ × 1240
→ Q = 49600 × 10 -⁶C
→ Q = 4.96 × 10 -² C
⠀
→ Q = n = ne
→ 4.96 × 10 -² = n × 1.6 × 10 -¹⁹
→ 4.96 × 10 -² / 1.6 × 10 -¹⁹
→ n = 3.1 × 10 ¹⁷
⠀
Hence,
- number of electrons are n = 3.1 × 10 ¹⁷