Home Physics Surface Tension General The high domes of ancient buildings have str…
Physics Surface Tension General MCQ (Single Correct)

The high domes of ancient buildings have structural value (besides beauty). It arises from pressure difference on the two faces due to curvature (as in soap bubbles). There is a dome of radius 5 m and uniform (but small) thickness. The ‘surface tension’ of its masonry structure is about 500 N/m. Treated as hemispherical, the maximum load the dome can support is nearest to

A
1500 kg wt.
B
3000 kg wt.
C
6000 kg wt.
D
12000 kg wt.

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Text Solution

Verified by Experts
The correct answer is:
B

Clearly the surface tension force on

Hemisphere = F S = (2T). (2 π r) {2 layers are formed}.

⇒ F S = 2 × 500 × 2 × 3.14 × 5m.

≈ 30,000 N ≈ 3000 kg.wt.

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