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Please answer the following question with explanation 

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Asked by deepakudgiri29 14th November 2018, 6:59 PM
Answered by Expert
Answer:
The equation for capillary rise:-  h×ρ×g = (2×S×cosθ)/a  ..............(1)
 
where h is height of the liquid rise in capillary tube, ρ is density of liquid, S is surface tension of the liquid,
a is radius of capillary tube and θ is the angle of contact.
 
If we multiply by πa2 on both side of eqn.(1), left hand side becomes mass m of liquid in the capillary tube.
Hence we rewrite eqn.(1), by multiplying both side wilth πa2 .
 
Modified equation is, m  = 2×S×cosθ×π×a ....................(2)
 
ratio of mass mw of water to the mass ml of other liquid is given  by
 
begin mathsize 12px style m subscript w over m subscript l space equals space fraction numerator S subscript w space cos space theta subscript w over denominator S subscript l space cos space theta subscript l end fraction space equals space fraction numerator S subscript w over denominator square root of 2 begin display style space end style begin display style begin display style S end style subscript w end style end fraction cross times fraction numerator 1 over denominator open parentheses begin display style bevelled fraction numerator 1 over denominator square root of 2 end fraction end style close parentheses end fraction space equals space 1 end style
 
Hence the answer is :-  1) 5×10-3 kg
Answered by Expert 15th November 2018, 5:37 AM
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