A rope 1 cm in diameter breaks if the tension in it exceeds 500 N. The maximum tension that any be given to a similar rope of diameter 2 cm is

Options

A. 500 N
B. 250 N
C. 1000 N
D. 2000 N

Answer

D

Explanation

Breaking stress `sigma = T/A = 500/(pi/4(1)^(2))`
`sigma = T^(.)/A^(.)`
`500/(pi/4(1)^(2)) = T^(.)/(pi/2(2)^(2)) rArr T. = 2000 N`