When a metal sphere is suspended at the end of a metal wire, its extension is 0.4 mm. If another metal sphere of the same material with its radius is

Question

When a metal sphere is suspended at the end of a metal wire, its extension is 0.4 mm. If another metal sphere of the same material with its radius is

When a metal sphere is suspended at the end of a metal wire, its extension is 0.4 mm. If another metal sphere of the same material with its radius is half of the previous, is suspended then extension would be
A. 0.05 mm
B. 0.02 mm
C. 0.01 mm
D. 0.32 mm

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
`l_(1) prop m_(1), l_(2) prop m_(2)`
`(l_(2))/(l_(1))=(m_(2))/(m_(1))=(rho v_(2))/(rho v_(1)) =((4pi)/(3) r_(2)^(3))/((4pi)/(3)r_(1)^(3))`
`(l_(2))/(l_(1)) =((r_(2))/(r_(1)))^(3) =(((r )/(2))/(r ))^(3)=(1)/(8)`
`l_(2)=(l_(1))/(8) =(0.4)/(8) =0.05` mm.

5 views Answered 2023-02-05 15:29