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When a capillary tube is connected to a ...

When a capillary tube is connected to a pressure head quantity of water flows per second is `V` (in c.c.) if another tube of same length but half the radius is connected to the first in series to the same pressure head, the quantity of water flowing through them per sencond will be (in c.c)

A

`(V)/(16)`

B

`(V)/(17)`

C

`(17V)/(16)`

D

V

Text Solution

Verified by Experts

The correct Answer is:
B
`Q=(pipr^(4))/(8etal), R_(s)=R_(1)+R_(2)`
`R_(s)=(8etal)/(pir^(4))+(8etal)/(pi((r )/(2))^(4))=17R`
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Knowledge Check

  • 16cm^(3) of water flows per second through a capillary tube of radius a cm and of length l cm when connected to a pressure head of h cm of water if a tube of the same length and radius a/2 cm is connected to the same pressure head the quantity of water flowing through the tube per second will be-

    A
    `16cm^(3)`
    B
    `4cm^(3)`
    C
    `1cm^(3)`
    D
    `8cm^(3)`

  • Water flows through a capillary tube of radius r and length at a rate of 40 ml per second, when connected to a pressure difference of h cm of water. Another tube of the3 some length but radius. (r)/(2) is connected in series with this tube and the combination is connected to the same pressure head.[density of water is rho ]

    A
    the pressure difference across each tube is `p_(1)=(rhogh)/(17)` and `p_(2)=(16)/(17)rhogh`
    B
    The pressure difference across each tube is `p_(1)=(rhogh)/(16)` and `P_(2)=(17)/(16)rhogh`
    C
    The rate of flow of the water through the combination is `(40)/(17)(c.c)/(sec)`.
    D
    The rate of flow of water through the combination is `(17)/(40)(c.c)/(sec)`.

  • The rate of steady volume flow of water through a capillary tube of length ' l ' and radius ' r ' under a pressure difference of P is V . This tube is connected with another tube of the same length but half the radius in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is P )

    A
    `(V)/(16)`
    B
    `(V)/(17)`
    C
    `(16V)/(17)`
    D
    `(17V)/(16)`