SATHEE: Properties Of Solids And Liquids Question 240

Properties Of Solids And Liquids Question 240

Question: When a body falls in air, the resistance of air depends to a great extent on the shape of the body, 3 different shapes are given. Identify the combination of air resistances which truly represents the physical situation. (The cross sectional areas are the same). [KCET 2005]

Options:

A) $\frac{8}{9} X$

B) $\frac{9}{8} X$

C) $\frac{5}{7} X$

D) $\frac{7}{5} X$

Show Answer

Answer:

Correct Answer: A

Solution:

Fluid resistance is given by $R = \frac{8 η l}{π r^{4}} .$

When two capillary tubes of same size are joined in parallel, then equivalent fluid resistance is $R_{e} = R_{1} + R_{2} = \frac{8 η L}{π r^{4}} + \frac{8 η \times 2 L}{π {(2 R)}^{4}} = (\frac{8 η L}{π r^{4}}) \times \frac{9}{8}$

Equivalent resistance becomes $\frac{9}{8}$ times so rate of flow will be $\frac{8}{9} X$

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Properties Of Solids And Liquids Question 240

Question: When a body falls in air, the resistance of air depends to a great extent on the shape of the body, 3 different shapes are given. Identify the combination of air resistances which truly represents the physical situation. (The cross sectional areas are the same). [KCET 2005]

Options:

Answer:

Solution:

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