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BITSAT Physics Mechanical Properties of Fluids 2022 BITSAT 2022

BITSAT Physics Question (2022) — Solution

Question

A capillary tube is attached horizontally to a constant heat arrangement. If the radius of the capillary tube is increased by 25 \%, then the rate of flow of liquid will change nearly by

Options

  1. A. 100 \%
  2. B. 112 \%
  3. C. 124 \%
  4. D. 144 \%

Answer

D. 144 \%

Step-by-step solution

Liquid volume coming out of the tube per second aligned & V= p r^4 8 l \\ & \\ & V_2 V_1 = [ r_2 r_1 ]^4 V_2=V_1 [ 125 100 ]^4=V_1 ( 5 4 )^4 \\ & \\ & So, now V V = V_2-V_1 V_1 = (244) V_1-V_1 V_1 =144 \% aligned

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