When the temperature of a metal wire is increased from $0^{\circ} \,C$ to $10^{\circ}\, C$, its length increases by $0.02 \% .$ The percentage change in its mass density will be closest to:

  • [JEE MAIN 2020]
  • A

    $0.008$

  • B

    $0.06$

  • C

    $0.8$

  • D

    $2.3$

Similar Questions

A bimetallic strip consists of metals $X$ and $Y$. It is mounted rigidly at the base as shown. The metal $X$ has a higher coefficient of expansion compared to that for metal $Y$. When the bimetallic strip is placed in a cold bath:

  • [AIIMS 2006]

A student records the initial length $l$, change in temperature $\Delta T$ and change in length $\Delta l$ of a rod as follows :

S.No. $l(m)$ $\Delta T{(^o}C)$ $\Delta l(m)$
$(1)$ $2$ $10$ $4\times 10^{-4}$
$(2)$ $1$ $10$ $4\times 10^{-4}$
$(3)$ $2$ $20$ $2\times 10^{-4}$
$(4)$ $3$ $10$ $6\times 10^{-4}$

If the first observation is correct, what can you say about observations  $2,\,3$ and $4$.

A vertical column $50$ $cm$ long at $50°C$ balances another column of same liquid $60 \,cm$ long at $100°C$. The coefficient of absolute expansion of the liquid is

What is areal expansion ? Give definition and unit of coefficient of areal expansion.

A rail track made of steel having length $10\,m$ is clamped on a railway line at its two ends as shown in figure. On a summer day due to rise in temperature by $20\,^oC$ , it is deformed as shown in figure. Find $x$ (displacement of the centre) if  $\alpha _{steel} = 1.2 \times 10^{-5} \,^oC^{-1}$