A soap bubble having radius of 1 m m is blown from a detergent solution having a surface tension of 2.5 × 10 - 2 N m - 1 . The pressure inside the bubble equals at a point Z 0 below the free surface of water in a container. Taking g = 10 m s - 2 , density of water = 10 3 k g m - 3 , the value of Z 0 is

Question

A soap bubble having radius of 1 m m is blown from a detergent solution having a surface tension of 2.5 × 10 - 2 N m - 1 . The pressure inside the bubble equals at a point Z 0 below the free surface of water in a container. Taking g = 10 m s - 2 , density of water = 10 3 k g m - 3 , the value of Z 0 is, 100 c m, 10 c m, 1 c m, 0.5 c m

MARKS App · Accepted Answer

Pressure inside soap bubble is given by, ∆ P = 4 T R Pressure below water surface at depth Z 0 is given by, ∆ P = ρ g Z 0 According to question, ⇒ 4 T R = ρ g Z 0 ⇒ Z 0 = 4 T ρ g = 4 × 2.5 × 10 - 2 10 3 × 10 × 10 - 3 ⇒ Z 0 = 1 100 m ⇒ Z 0 = 1 c m

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