A fixed volume of iron is drawn into a wire of length l. The extension x produced in this wire by a constant force F is proportional to:

Question

A fixed volume of iron is drawn into a wire of length l. The extension x produced in this wire by a constant force F is proportional to: (A)  l  (B)  l2  (C)  (1/l)  (D)  (1/l2)

Tardigrade Admin · Accepted Answer

beginpmatrix text as V=A l text so A=(V/l) endpmatrix Extension x=(F l/A Y) =(F l2/V Y) propto l2

Q. A fixed volume of iron is drawn into a wire of length $l .$ The extension $x$ produced in this wire by a constant force $F$ is proportional to:

$l$

$l^{2}$

$\frac{1}{l}$

$\frac{1}{l ^{2}}$

$(as V = A l so A = \frac{V}{l})$
Extension $x = \frac{Fl}{A Y}$
$= \frac{F l ^{2}}{VY} \propto l^{2}$

Q. A fixed volume of iron is drawn into a wire of length l. The extension x produced in this wire by a constant force F is proportional to:

l

l2

l1​

l21​

( as V=Al so A=lV​​) Extension x=AYFl​ =VYFl2​∝l2

Q. A fixed volume of iron is drawn into a wire of length $l .$ The extension $x$ produced in this wire by a constant force $F$ is proportional to:

$l$

$l^{2}$

$\frac{1}{l}$

$\frac{1}{l ^{2}}$

$(as V = A l so A = \frac{V}{l})$
Extension $x = \frac{Fl}{A Y}$
$= \frac{F l ^{2}}{VY} \propto l^{2}$