NEET Solved Paper 2019 Question 27

Question: A soap bubble, having radius of 1 mm, is blown from a detergent solution having a surface tension of $ 2.5\times 10^{2} $ N/m. The pressure inside the bubble equals at a point $ Z _0 $ below the free surface of water in a container. Taking $ g=10m/s^{2} $ , density of water $ =10^{3}kg/m^{3} $ , the value of $ Z _0 $ is: [NEET 5-5-2019]

Options:

A) 1 cm

B) 0.5 cm

C) 100 cm

D) 10 cm

Show Answer

Answer:

Correct Answer: A

Solution:

$ \rho gZ _0=\frac{4T}{R} $

$ 10^{3}.10.Z _0=\frac{4(2.5\times {10^{-2}})}{{10^{-3}}} $

$ =\frac{100}{10^{4}} $

$ Z _0={10^{-2}} $

$ Z=1cm $