JEE Mains · Physics · STD 11 - 9.2 surface tension
A spherical drop of liquid splits into \(1000\) identical spherical drops. If \(u _{ i }\) is the surface energy of the original drop and \(u_f\) is the total surface energy of the resulting drops, the (ignoring evaporation). \(\frac{u_f}{u_i}=\left(\frac{10}{x}\right)\). Then value of \(x\) is \(......\)
- A \(2\)
- B \(1\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(B) \(1\)
Step-by-step Solution
Detailed explanation
Surface Tension \(= T\) \(R\) : Radius of bigger drop \(r :\) Radius of smaller drop Volume will remain same \(\frac{4}{3} \pi R ^3=1000 \times \frac{4}{3} \pi r^3\) \(R =10 r\) \(u _{ i }= T \cdot 4 \pi R ^2\) \(u _{ f }= T .4 \pi r ^2 \times 1000\)…
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