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If 1000 droplets each of charge q and radius r are mixed to form a big drop, then the potential of big drop, as compared to small droplet will be
- a)10 times
- b)100 times
- c)106 times
- d)1000 times
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If 1000 droplets each of charge q and radius r are mixed to form a big...
If the value of potential on each small drop be V and potential on each small drop be V '
V ' = n 2/3 V
⇒ V ' = 1000 2/3 V
⇒ V ' = 10 3 2 3 V = 10 2 V = 100 V
V ' = n 2/3 V
⇒ V ' = 1000 2/3 V
⇒ V ' = 10 3 2 3 V = 10 2 V = 100 V
Most Upvoted Answer
If 1000 droplets each of charge q and radius r are mixed to form a big...
Explanation:
When 1000 droplets each of charge q and radius r are mixed to form a big drop, the final radius of the big drop will be given by:
R = 10^(1/3) * r
The total charge on the big drop will be:
Q = 1000q
The potential of a small droplet of charge q and radius r is given by:
V = kq/r
where k is the Coulomb constant.
The potential of the big drop can be calculated using the formula:
V' = kQ/R
Substituting the values of Q and R, we get:
V' = k(1000q)/(10^(1/3) * r)
V' = 10^(2/3) * kq/r
The ratio of the potential of the big drop to that of the small droplet is given by:
V'/V = (10^(2/3) * kq/r)/(kq/r)
V'/V = 10^(2/3)
V'/V = 5.62
Therefore, the potential of the big drop, as compared to the small droplet, will be 100 times higher (option B).
When 1000 droplets each of charge q and radius r are mixed to form a big drop, the final radius of the big drop will be given by:
R = 10^(1/3) * r
The total charge on the big drop will be:
Q = 1000q
The potential of a small droplet of charge q and radius r is given by:
V = kq/r
where k is the Coulomb constant.
The potential of the big drop can be calculated using the formula:
V' = kQ/R
Substituting the values of Q and R, we get:
V' = k(1000q)/(10^(1/3) * r)
V' = 10^(2/3) * kq/r
The ratio of the potential of the big drop to that of the small droplet is given by:
V'/V = (10^(2/3) * kq/r)/(kq/r)
V'/V = 10^(2/3)
V'/V = 5.62
Therefore, the potential of the big drop, as compared to the small droplet, will be 100 times higher (option B).
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If 1000 droplets each of charge q and radius r are mixed to form a big drop, then the potential of big drop, as compared to small droplet will bea)10 timesb)100 timesc)106 timesd)1000 timesCorrect answer is option 'B'. Can you explain this answer?
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