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+1 vote
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in Physics by (38.4k points)
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A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water (µ = 4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring water. Up to what height, the tumbler is actually filled ?

(1) 11.7 cm

(2) 10 cm

(3) 7.5 cm

(4) 8.75 cm

2 Answers

+2 votes
by (15.0k points)
selected by
 
Best answer

Correct option is (2) 10 cm

For an observer outside the water,

Height of water = \(\frac x{\mu_W}\)

\(= \frac x{\frac 43 }\)

\(= \frac{3x}4\)

Height of air observed by observer = 17.5 – x

According to question,

\(\frac{3x}4 = 17.5 - x\)

⇒ \(\frac{7x}4 = 17.5\)

⇒ \(x =10\) cm

+6 votes
by (40.3k points)

Correct Option is (2) 10 cm

Height of water observed by observer

Height of air observed by observer = 17.5 – H

According to question, both height observed by observer is same.

3H/4 = 17.5 - H

⇒ H = 10 cm

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