A circular tube of radius ‘R’ and cross-sectional radius ‘r’ (r << R) is filled completely with iron balls of radius ‘ ρ ’. Iron balls are just fitting into the tubes. The tension in the tube when it is rotated about its axis perpendicular to its plane with angular velocity ‘ ω ’ -
A
πρω 2 r 3 R
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
r < < R, mass/length can be given by
λ = 
= 
. 
Now,
Tension in tube is given by
T = ( λ . ω 2 R) R = 
. ω 2 .R.R
= 
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