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Eight identical drops of water faking through the air with a uniform velocity of 10 cm/s combines to form a single drop of big size, then the terminal velocity of the big drop will be
- a)80 cm/s
- b)10cm/s
- c)30 cm/s
- d)40 cm/s
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Eight identical drops of water faking through the air with a uniform ...
Given, terminal velocity of each small drop v1 = 10cm/s
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When 8 small drops are combined to form a bigger drop, then volume will be same.
If r1 be radius of small drop and r2 be the radius of biggordrop, then v2 = v1
∴ Terminal velocity of the drop
i.e., v ∝ r2
⇒ v1/v2 = 1/4
v2 = 4v1 x 10 = 40 cm/s
Most Upvoted Answer
Eight identical drops of water faking through the air with a uniform ...
Given, terminal velocity of each small drop v1 = 10cm/s
When 8 small drops are combined to form a bigger drop, then volume will be same.
If r1 be radius of small drop and r2 be the radius of biggordrop, then v2 = v1
∴ Terminal velocity of the drop
i.e., v ∝ r2
⇒ v1/v2 = 1/4
v2 = 4v1 x 10 = 40 cm/s
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