A steel tape measures length of a copper rod as 90, cm when both are at 10,^oC . ........ cm would t

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10-1.Thermometry, Thermal Expansion and Calorimetry

normal

A steel tape measures the length of a copper rod as $90\, cm$ when both are at $10\,^oC$. ........ $cm$ would the tape read for the length of rod when both are at $30\,^oC$ ? $[\alpha _{st} = 1.2\times10^{-5}/^oC$ and $\alpha _{cu} = 1.7\times10^{-5}/^oC]$

$89$

$90.21$

$89.80$

$90.01$

Solution

$\mathrm{L}_{\mathrm{c}}^{\prime}=\mathrm{L}_{\mathrm{c}}(1+\alpha \Delta \mathrm{T})$

$=90\left(1+1.7 \times 10^{-5} \times 20\right)$

$\mathrm{L}_{\text {steal }}=(1 \mathrm{cm})\left[1+\alpha_{\mathrm{st}} \Delta \mathrm{T}\right]$

[new per division length]

$=1\left[1+1.2 \times 10^{-5} \times 50\right]$

$\frac{\mathrm{L}_{\mathrm{C}}}{\mathrm{L}_{\mathrm{St}}}=\frac{90\left(1+1.7 \times 10^{-5} \times 20\right)}{1\left(1+1.2 \times 10^{-5} \times 20\right)}=90.01 \mathrm{cm}$

Standard 11

Physics

On centigrade scale the temperature of a body increases by $30$ degrees. The increase in temperature on Fahrenheit scale is …………..

normal

On heating a liquid of coefficient of cubical expansion $\gamma $ in a container having coefficient of linear expansion $\gamma /3,$ the level of liquid in the container will

normal

Steam at $100\,^oC$ is passed into $22\,g$ of water at $20\,^oC$ The mass of water that will be present when the water acquires a temperature of $90\,^oC$ (Latent heat of steam is $540\,cal/g$) is ……… $\mathrm{g}$

normal

Three rods of equal length $l$ are joined to form an equilateral triangle $PQR.$ $O$ is the mid point of $PQ.$ Distance $OR$ remains same for small change in temperature. Coefficient of linear expansion for $PR$ and $RQ$ is same, $i.e., \alpha _2$ but that for $PQ$ is $\alpha _1.$ Then

normal

A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be $m$, specific heat $S,$ initial temperature $25°C$ melting point $ 475°C$ and the latent heat $L.$ Then $v$ is given by

medium

A steel tape measures the length of a copper rod as $90\, cm$ when both are at $10\,^oC$. ........ $cm$ would the tape read for the length of rod when both are at $30\,^oC$ ? $[\alpha _{st} = 1.2\times10^{-5}/^oC$ and $\alpha _{cu} = 1.7\times10^{-5}/^oC]$

Solution

Similar Questions

On centigrade scale the temperature of a body increases by $30$ degrees. The increase in temperature on Fahrenheit scale is …………..

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Three rods of equal length $l$ are joined to form an equilateral triangle $PQR.$ $O$ is the mid point of $PQ.$ Distance $OR$ remains same for small change in temperature. Coefficient of linear expansion for $PR$ and $RQ$ is same, $i.e., \alpha _2$ but that for $PQ$ is $\alpha _1.$ Then

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