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Two capillary tubes of the same length b...

Two capillary tubes of the same length but different radii r1 and r2 are fitted in parallel to the bottom of a vessel. The pressure head is P . What should be the radius of a single tube that can replace the two tubes so that the rate of flow is same as before

A

`r_1+r_2`

B

`(r_1r_2)/(r_1+r_2)`

C

`(r_1+r_2)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
When the tubes are fitted in parallel,
`V=V_1 + V_2`
`rArr (pipr^4)/(8etal) = (pr_1^4)/(8etal) + (pipr_2^4)/(8) rArr r^4 = r_1^4 + r_2^4`
`therefore r=(r_1^4 + r_2^4)^(1//4)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-FRICTION IN SOLID AND LIQUIDS-EXERCISE 1
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  2. The water level on a tank is 5m high. There is a hole of 1 cm^(2) cro...

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  3. A water tank placed on the floor has two small holes, pinched in the v...

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  4. There are two holes O1 "and " O2 in a tank of height H. the water emer...

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  5. A tank is filled to a height H. The range of water coming out of a hol...

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  6. There is a hole at the bottom of a large open vessel. If water is fill...

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  8. As the temperature of water increases, its viscosity

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  11. A raindrop of radius 0.3 mm has a terminal velocity in air 1ms^(-1) . ...

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  13. Two rain drops of same radius r falling with terminal velocity v merge...

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  14. From amongst the following curves, which one shows the variation of th...

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  15. The terminal speed attained by an aluminium sphere of radius 1 mm fall...

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  16. Suppose a block of mass 1kg is placed over a rough surface and a horiz...

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  17. If the terminal speed of a sphere of gold (density =19.5kg//m^3) is 0....

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  18. Two equal drops of water are falling through air with a steady velocit...

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  19. A solid sphere falls with a terminal velocity V in CO(2) gas. If its i...

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