there is rectangular wire frame having a thin flil of soap solution .A massless circular loop of thin wire of radius R is placed on the surface of flim , and inside portion of the flim is pricked. If surface tension of soap solution is S and Young's modulus of wire is Y then change in radius of the wire is aSR^b/cAY where a,b,c are positive integer and a,c are co prime.The value of a+b+c is
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The value of a+b+c is 4.
There is rectangular wire frame having a thin film of soap solution.
A mass less circular loop of thin wire of radius R is placed on the surface of film, and inside portion of the film is pricked.
If surface tension of soap solution is S and Young's modulus of wire is Y then change in radius of the wire is aSRᵇ/cAY [a, b, c are the positive integers]
Now, we know,
Y = FL/Al
In the case of soap solution,
F = 2S
∴ Y = 2SL/Al
⇒ Y = 2S/A × Δl/L
And,
l = 2πR
∴ Δl/L = ΔR/R
∴ Y = 2S/A × ΔR/R
⇒ YAR/2S = ΔR
∴ The value of (a+b+c) is = 4.
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