A steel rod with y =2.0 10^ 11 , Nm ^ -2 and =10^ -5 ^ C ^ -1 of … - Vidyadip

MCQ

A steel rod with ${y}=2.0 \times 10^{11} \,{Nm}^{-2}$ and $\alpha=10^{-5}{ }^{\circ} {C}^{-1}$ of length $4\, {m}$ and area of cross-section $10\, {cm}^{2}$ is heated from $0^{\circ} {C}$ to $400^{\circ} {C}$ without being allowed to extend. The tension produced in the rod is ${x} \times 10^{5} \, {N}$ where the value of ${x}$ is ....... .

✓
$8$
B
$80$
C
$0.8$
D
$85$

✓

Answer

Correct option: A.

$8$

a
Thermal force ${F}={Ay}\alpha \Delta {T}$

$F=\left(10 \times 10^{-4}\right)\left(2 \times 10^{11}\right)\left(10^{-5}\right)(400)$

$F=8 \times 10^{5} {N}$

$\Rightarrow {x}=8$

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 10.1, thermonetry,thermal expansion and calorimetry→10.1, thermonetry,thermal expansion and calorimetry — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

In the figure, blocks $A$ and $B$ of masses $2m$ and $m$ are connected with a string and system is hanged vertically with the help of a spring. Spring has negligible mass. Find out magnitude of acceleration of masses $2m$ and $m$ just after the instant when the string is cut

A lift of mass $M =500\,kg$ is descending with speed of $2\,ms ^{-1}$. Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of $2\,ms ^{-2}$. The kinetic energy of the lift at the end of fall through to a distance of $6 m$ will be $...........kJ.$

Two particles $A$ and $B$ are moving in $XY$ plane. Particle $A$ moves along a line with equation $y = x$ while $B$ moves along $X$ axis such that their $X$ coordinates are always equal. If $B$ moves with a uniform speed $3\ m/s$ , the speed of $A$ is

The potential energy of a particle of mass $100 \,g$ moving along $x$-axis is given by $U=5 x(x-4)$, where $x$ is in metre. The period of oscillation is .................

A weight of $200 \,kg$ is suspended by vertical wire of length $600.5\, cm$. The area of cross-section of wire is $1\,m{m^2}$. When the load is removed, the wire contracts by $0.5 \,cm$. The Young's modulus of the material of wire will be

The ratio of lengths of two rods $A$ and $B$ of same material is $1 : 2$ and the ratio of their radii is $2 : 1$, then the ratio of modulus of rigidity of $A$ and $B$ will be

For a transverse wave travelling along a straight line, the distance between two peaks (crests) is $5 \,m ,$ while the distance between one crest and one trough is $1.5 \,m$ The possible wavelengths (in $m$ ) of the waves are

An athlete of mass $60\, kg$ skips at the rate of $20$ steps per minute through an average height of $25\,cm$. The power developed is ............. $\mathrm{W}$

In our solar system, the interplanetary region has chunks of matter (much smaller in size compared to planets) called asteroids. They

The dimension of the ratio of angular to linear momentum is