A loop of 6.28 cm long thread is put gently on a soap film in a wire loop. The film is pricked with a needle inside the soap film enclosed by the thread. If the surface tension of soap solution is 0.030 N/m, then the tension in the thread is
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a
1×10−4 N
b
2×10−4 N
c
3×10−4 N
d
4×10−4 N
answer is C.
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Detailed Solution
When the soap film enclosed by the thread is pricked, the thread would take up a circular shape. Consider a small element of the thread. While horizontal components of tension get balanced, the vertical components get added up.2Tsinθ=σΔl2Tθ=σ(2θ×r)T=σr=σ×2πr2π=0.030×6.28×10−22π N =3×10−4 N
A loop of 6.28 cm long thread is put gently on a soap film in a wire loop. The film is pricked with a needle inside the soap film enclosed by the thread. If the surface tension of soap solution is 0.030 N/m, then the tension in the thread is