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A glass tumbler having inner depth of 17.5 \mathrm{~cm} is kept on a table. A student starts pouring water (\mu=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?
Option: 1 10\: cm
Option: 2 11.7\: cm
Option: 3 7.5\: cm
Option: 4 8.75\: cm

Answers (1)

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R= {h}'\rightarrow Real depth of water
A\rightarrow Apponent depth of water
A= \frac{h}{2}= \frac{35}{4}\, cm.
A= \frac{R}{\mu _{object}^{observer}}= \frac{{h}'}{\left ( \frac{4}{3} \right )}
A= \frac{{h}'}{\left ( \frac{4}{3} \right )}= 17\cdot 5-{h}'\left ( Given \right )
\frac{7{h}'}{4}= \frac{70}{4}
{h}'= 10\: cm
The correct option is (1)

 

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vishal kumar

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