You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Young's Modulus of Elasticity

Two wires are...

Question

Two wires are made up of the same material and have the same volume. However wire 1 has a cross-sectional area A and wire 2 has a cross-sectional area 3 A. If the length of the wire 1 increases by dx on applying force F, how much force is needed to stretch wire by the same amount?

Open in App

Solution

$F o r c e f o r s t r e t c h i n g t h e w i r e i s p r o p o t i o n a l t o c r o s s s e c t i o n a l A r e a (A) o f w i r e a n d i n v e r s l y p r o p o t i o n a l t o s t r a i n (d l / l) \frac{F_{1}}{F_{2}} = \frac{A_{1} l_{1}}{A_{2} l_{2}} - (1) G i v e n A_{1} = A, A_{2} = 3 A, l_{1} = d x, l_{2} = d x (i n c r e a m e n t i n l e n g t h) U \sin g (1) w e g e t F_{2} = 3 F_{1}$

Suggest Corrections

Similar questions

Q. Two wires are made of the same material and have the same volume. However wire

1

has cross-sectional area

A

and wire

2

has cross-sectional area

3

A. If the length of wire

1

increases by

Δ x

on applying force

F

, how much force is needed to stretch wire

2

by the same amount?

Q. Two wires are made of the same material and have the same volume. However wire

1

has cross-sectional area

A

and wire

2

has cross-sectional area

3 A

. If the length of wire

1

increases by

△ x

on applying force

F

, how much force is needed to stretch wire

2

by the same amount?

Q. Two wires are made of the same material and have the same volume. However, wire

1

has cross - sectional area

A

and wire-

2

has cross - sectional area

3 A

. If the length of wire

1

increases by

Δ x

on applying force

F

, how much force is needed to stretch wire

2

by the same amount?

Q. Two wires are made of the same material and have the same volume . However wire 1 has cross section area A and wire 2 has cross-section area 3A . If the length of wire 1 increases by

△ x

on applying force F, how much force is needed to stretch wire 2 by the same amount ?

Q. Two wires are made of the same material and have the same volume. However wire

1

has cross-sectional area

A

and wire

2

has cross-sectional area

3

A. If the length of wire

1

increases by

Δ x

on applying force

F

, how much force is needed to stretch wire

2

by the same amount?

Join BYJU'S Learning Program

Two wires are made up of the same material and have the same volume. However wire 1 has a cross-sectional area A and wire 2 has a cross-sectional area 3 A. If the length of the wire 1 increases by dx on applying force F, how much force is needed to stretch wire by the same amount?

Force for stretching the wire is propotional tocross sectional Area(A) of wire andinversly propotional to strain(dl/l) F1F2=A1l1A2l2 -(1)Given A1=A, A2=3A,l1=dx,l2=dx(increament in length)Using (1) we get F2 =3F1