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

Young's Modulus of Elasticity

The length of...

Question

The length of a steel wire when stretched by a force $F_{1}$ is $l_{1}$ and when stretched by a force $F_{2}$ is $l_{2}$ .The unstretched length of the wire is

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A

$Δ l = \frac{F l}{Y A} \Rightarrow Δ l \propto F$

Therefore,

$l_{1} - l_{o} = F_{1}$ and $l_{2} - l_{o} = F_{2}$

$\Rightarrow l_{o} = \frac{l_{1} F_{2} - l_{2} F_{1}}{F_{2} - F_{1}}$

Suggest Corrections

Similar questions

The length of a steel wire when stretched by a force $F_{1}$ is $l_{1}$ and when stretched by a force $F_{2}$ is $l_{2}$ .The unstretched length of the wire is

Q. The length of a uniform metal wire is observed to be

l_{1}

and

l_{2}

under the stretching forces

F_{1}

and

F_{2}

. The natural length of the wire is

Q. If a stretching force

F 1

is applied on a vertical metal wire then its length is

L 1

and if force

F 2

is applied on it then its length becomes

1.2

. The real length of wire is?

Q. The length of a metal wire is

l_{1}

when the tension in it is

F_{1}

and

l_{2}

when the tension is

F_{2}

. Then original length of the wire is:

Q. The length of a metal wire is

l_{1}

when the tension in it is

F_{1}

and

l_{2}

when the tension in it is

F_{2}

. The natural length of the wire is

Join BYJU'S Learning Program

The length of a steel wire when stretched by a force F1 is l1 and when stretched by a force F2 is l2.The unstretched length of the wire is

The correct option is A Δl=FlYA⇒Δl∝F Therefore, l1−lo=F1 and l2−lo=F2 ⇒lo=l1F2−l2F1F2−F1

The length of a steel wire when stretched by a force $F_{1}$ is $l_{1}$ and when stretched by a force $F_{2}$ is $l_{2}$ .The unstretched length of the wire is

The correct option is A

$Δ l = \frac{F l}{Y A} \Rightarrow Δ l \propto F$

Therefore,

$l_{1} - l_{o} = F_{1}$ and $l_{2} - l_{o} = F_{2}$

$\Rightarrow l_{o} = \frac{l_{1} F_{2} - l_{2} F_{1}}{F_{2} - F_{1}}$