A wire is stretched by 0.01 m by a certain force F. Another wire … - Vidyadip

MCQ

A wire is stretched by $0.01$ $m$ by a certain force $F.$ Another wire of same material whose diameter and length are double to the original wire is stretched by the same force. Then its elongation will be

✓
$0.005$ $m$
B
$0.01$ $m$
C
$0.02$ $m$
D
$0.002$ $m$

✓

Answer

Correct option: A.

$0.005$ $m$

a
(a) $l = \frac{{FL}}{{\pi {r^2}Y}}$

$l \propto \frac{L}{{{r^2}}}$ $(Y$ and $F$ are constant$)$

$\frac{{{l_2}}}{{{l_1}}} = \frac{{{L_2}}}{{{L_1}}} \times {\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^2} = (2) \times {\left( {\frac{1}{2}} \right)^2} = \frac{1}{2}$

==> ${l_2} = \frac{{{l_1}}}{2} = \frac{{0.01m}}{2} = 0.005m$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 8. mechanical properties of solids→8. mechanical properties of solids — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A projectile is moving at $20\,m/sec$ at its highest point where it breaks into two equal parts due to an internal explosion. One part moves vertically up at $30\,m/sec$ . Then the other part will move at ............. $\mathrm{m}/ \mathrm{s}$

An aeroplane is flying in a horizontal direction at $600\ km/ hr$ at a height of $6\ kms$ and is advancing towards a point which is exactly over a target on earth. At that instant the pilot releases a ball which on descending the earth strike the target. The falling ball appears$-$

In the given figure, the block of mass $m$ is dropped from the point ' $A$ '. The expression for kinetic energy of block when it reaches point ' $B$ ' is ................

A man of mass $100\,kg$. is standing on a platform of mass $200\,kg$. which is kept on a smooth ice surface. If the man starts moving on the platform with a speed $30\,m / sec$ relative to the platform then calculate with what velocity relative to the ice the platform will recoil $..........m/s$

A mass $0.9\,kg$, attached to a horizontal spring, executes $SHM$ with an amplitude $A _{1}$. When this mass passes through its mean position, then a smaller mass of $124\,g$ is placed over it and both masses move together with amplitude $A _{2}$. If the ratio $\frac{ A _{1}}{ A _{2}}$ is $\frac{\alpha}{\alpha-1}$, then the value of $\alpha$ will be$......$

Two loops $P$ and $Q$ are made from a uniform wire. The radii of $P$ and $Q$ are ${r_1}$ and ${r_2}$ respectively, and their moments of inertia are ${I_1}$ and ${I_2}$ respectively. If $\frac{{{l_2}}}{{{l_1}}}$ = $4$ then $\frac{{{r_2}}}{{{r_1}}}$ equals

A particle moves along a circle with a constant angular speed $\omega$ Its displacement,with respect to this position of the particle at time $t = 0$ is plotted against time. The graph would look like

Two bodies of masses m and $2m$ have same momentum. Their respective kinetic energies ${E_1}$ and ${E_2}$ are in the ratio

A diatomic ideal gas undergoes a thermodynamic change according to the $P-V$ diagram shown in the figure. The heat given the gas in $AB$

For a gas, the difference between the two specific heats is $4150\, J\, kg^{-1}\, K^{-1}$ and the ratio of the two specific heats is $1.4$. What is the specific heat of the gas at constant volume in units of $J\, kg^{-1}\, K^{-1}$ ?