Question

A wire of diameter 1 mm breaks under a tension of 1000 N. Another wire of same material as that of the first one, but of diameter 2 mm breaks under a tension of

• A. 500 N
• B. 1000 N
• C. 10000 N
• D. 4000 N

Answer 1

Answer: (D)

4000 N

Answer 2

Breaking force $\left( \pi r ^ { 2 } \right) \propto d ^ { 2 }$

$\frac { F _ { 2 } } { F _ { 1 } } = \left( \frac { d _ { 2 } } { d _ { 1 } } \right) ^ { 2 }$⇒ ⇒