When a force F1 is applied on a metallic wire, the length of the wire is L1 . If a force F2 is applied on the same wire, the length of the wire is L2 . The original length of the wire L is

Question

When a force F1 is applied on a metallic wire, the length of the wire is L1 . If a force F2 is applied on the same wire, the length of the wire is L2 . The original length of the wire L is (A) (L1 F1+L2 F2/F1+F2) (B) (L2-L1/F1+F2) (C) (F1 L2-F2 L1/F1-F2) (D) (F1 L1-F2 L2/F1-F2)

Tardigrade Admin · Accepted Answer

Change in length of wire of length L is directly proportional to the external force applied <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/216fbe93fe3ca1502f7b5bb8b6bfa3c8-.png" /> F1 propto(L1-L) ⇒ F1=K(L1-L) .......(i) Similarly, F2=K(L2-L) ......(ii) Dividing Eq. (i) by Eq. (ii), we get (F1/F2) =(L1-L/L2-L) ⇒ F1 L2-F1 L =F2 L1-F2 L ⇒ L =(F1 L2-F2 L1/F1-F2)

Q. When a force $F_{1}$ is applied on a metallic wire, the length of the wire is $L_{1} .$ If a force $F_{2}$ is applied on the same wire, the length of the wire is $L_{2} .$ The original length of the wire $L$ is

$\frac{L _{1} F _{1} + L _{2} F _{2}}{F _{1} + F _{2}}$

$\frac{L _{2} - L _{1}}{F _{1} + F _{2}}$

$\frac{F _{1} L _{2} - F _{2} L _{1}}{F _{1} - F _{2}}$

$\frac{F _{1} L _{1} - F _{2} L _{2}}{F _{1} - F _{2}}$

Q. When a force F1​ is applied on a metallic wire, the length of the wire is L1​. If a force F2​ is applied on the same wire, the length of the wire is L2​. The original length of the wire L is

F1​+F2​L1​F1​+L2​F2​​

F1​+F2​L2​−L1​​

F1​−F2​F1​L2​−F2​L1​​

F1​−F2​F1​L1​−F2​L2​​

Q. When a force $F_{1}$ is applied on a metallic wire, the length of the wire is $L_{1} .$ If a force $F_{2}$ is applied on the same wire, the length of the wire is $L_{2} .$ The original length of the wire $L$ is

$\frac{L _{1} F _{1} + L _{2} F _{2}}{F _{1} + F _{2}}$

$\frac{L _{2} - L _{1}}{F _{1} + F _{2}}$

$\frac{F _{1} L _{2} - F _{2} L _{1}}{F _{1} - F _{2}}$

$\frac{F _{1} L _{1} - F _{2} L _{2}}{F _{1} - F _{2}}$