Properties of Matter 4 Question 9

11. If r=5×10−4 m,ρ=103 kg m−3,g=10 ms−2, T=0.11Nm−1, the radius of the drop when it detaches from the dropper is approximately

(a) 1.4×10−3 m

(b) 3.3×10−3 m

(c) 2.0×10−3 m

(d) 4.1×10−3 m

Show Answer

Answer:

Correct Answer: 11. (a)

Solution:

  1. 2πr2TR=mg=43πR3⋅ρ⋅g

∴R4=3r2T2ρg=3×(5×10−4)2(0.11)2×103×10

=4.125×10−12m4

∴R=1.425×10−3m≈1.4×10−3m

∴ Correct option is (a).

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