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9.1 , fluid mechanics — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics9.1 , fluid mechanics1 Mark
MCQ
A vertical cylindrical container of base area $A$ and upper cross-section area $A_1$ making an angle $30^o $ with the horizontal is placed in an open rainy field as shown near another cylindrical container having same base area $A$. The ratio of rates of collection of water in the two containers will be
  • A
    $2/\sqrt 3$
  • B
    $4/\sqrt 3$
  • ✓
    $2$
  • D
    None
✓

Answer

Correct option: C.
$2$
c
In first container the Area vector is along the direction of rain. Rate of water collection in first container is $A_{1} \times$ velocity of rain.

In second cylinder the component of Area vector along the direction of rain is $A_{1} \cos 60^{\circ}=$$A_{1} / 2 .$ So, rate of water collection in second container is $0.5 A_{1} \times$ velocity of rain. The ratio of water collection is $2 .$

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