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Mechanical Properties of Solids

Modulus of Elasticity and Hooke's Law

Two wires of equal lengths are made of the same material. Wire

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Solving time: 1 mins

Two wires of equal lengths are made of the same material. Wire $A$ has a diameter that is twice as that of wire $B$ . If identical weights are suspended from the ends of these wires, the increase in length is

Four times for wire

A

as for wire

B

Twice for wire

A

as for wire

B

Half for wire

A

as for wire

B

One-fourth for wire

A

as for wire

B

Views: 5,780 students

Updated on: Mar 30, 2023

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Harper Discussed

Two wires of equal lengths are made of the same material. Wire

A

has a diameter that is twice as that of wire

B

. If identical weights are suspended from the ends of these wires, the increase in length is

5 mins ago

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5 mins ago

Text solutionVerified

l = \frac{F L}{A Y} \Rightarrow l \propto \frac{1}{r ^{2}} [F, L

and

Y

are same

]

\frac{l _{A}}{l _{B}} = (\frac{r _{B}}{r _{A}})^{2} = (\frac{r _{B}}{2 r _{B}})^{2} = \frac{1}{4} \Rightarrow l_{A} = 4 l_{B}

l_{B} = \frac{l _{A}}{4}

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Question Text	Two wires of equal lengths are made of the same material. Wire $A$ has a diameter that is twice as that of wire $B$ . If identical weights are suspended from the ends of these wires, the increase in length is
Updated On	Mar 30, 2023
Topic	Mechanical Properties of Solids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	437
Avg. Video Duration	7 min

Two wires of equal lengths are made of the same material. Wire $A$ has a diameter that is twice as that of wire $B$ . If identical weights are suspended from the ends of these wires, the increase in length is

Text solutionVerified

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Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire B. If identical weights are suspended from the ends of these wires, the increase in length is

Text solutionVerified

Filo tutor solutions (3)

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Two wires of equal lengths are made of the same material. Wire $A$ has a diameter that is twice as that of wire $B$ . If identical weights are suspended from the ends of these wires, the increase in length is