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A soap bubble, having radius of 1 mm, is blown from a detergent solution having a surface tension of 2.5 × 10-2 N/m. The pressure inside the bubble equals at a point Z0 below the free surface of water in a container. Taking g = 10 m/s2, density of water = 103 kg/m3, the value of Z0 is 
  • a)
    100 cm
  • b)
    10 cm
  • c)
    1 cm
  • d)
    0.5 cm
Correct answer is option 'C'. Can you explain this answer?
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A soap bubble, having radius of 1 mm, is blown from a detergent soluti...
Excess pressure = 4T/R, Gauge pressure
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A soap bubble, having radius of 1 mm, is blown from a detergent soluti...
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A soap bubble, having radius of 1 mm, is blown from a detergent soluti...
× 10^-2 N/m. Calculate the pressure inside the bubble.

We can use the Laplace's law to calculate the pressure inside the soap bubble:

ΔP = 2γ/r

where ΔP is the pressure difference between the inside and outside of the bubble, γ is the surface tension of the detergent solution, and r is the radius of the bubble.

Substituting the given values, we get:

ΔP = 2 × 2.5 × 10^-2 / 1 × 10^-3

ΔP = 0.5 N/m^2

Therefore, the pressure inside the soap bubble is 0.5 N/m^2.
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A soap bubble, having radius of 1 mm, is blown from a detergent solution having a surface tension of 2.5 × 10-2 N/m. The pressure inside the bubble equals at a point Z0 below the free surface of water in a container. Taking g = 10 m/s2, density of water = 103 kg/m3, the value of Z0 isa)100 cmb)10 cmc)1 cmd)0.5 cmCorrect answer is option 'C'. Can you explain this answer?
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