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JEE Main 20211 SeptemberEvening Shift
Exam
JEE Main
Year
2021
Date
1 September
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2021 · 1 September · Evening Shift · Physics · Mechanical Properties of Fluids

A glass tumbler having inner depth of 17 . 5cm is kept on a table....

A glass tumbler having inner depth of 17.5cm17 . 5cm is kept on a table. A student starts pouring water (μ=43)\left(\mu = \dfrac{4}{3}\right) 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 ?

Options

  1. A10cm10cm
  2. B11.7cm11 . 7cm
  3. C7.5cm7 . 5cm
  4. D8.75cm8 . 75cm

Correct answer

A. 10cm10cm

Step-by-step solution

Height of water observed by observer
=Hμw=H(4/3)=3H4= \dfrac{H}{{\mu}_{w}} = \dfrac{H}{( 4 / 3 )} = \dfrac{3H}{4}

Height of air observed by observer =17.5−H= 17 . 5 - H

According to question, both height observed by observer is same.
3H4=17.5−H\dfrac{3H}{4} = 17 . 5 - H

⇒H=10cm⇒ H = 10cm

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