A copper rod of 88 mathrm{cm} and an aluminum rod of unknown length have their increase in length in

English

Gujarati

Hindi

10-1.Thermometry, Thermal Expansion and Calorimetry

medium

A copper rod of $88\; \mathrm{cm}$ and an aluminum rod of unknown length have their increase in length independent of increase in temperature. The length of aluminum rod is....$cm$

$( \alpha_{Cu}=1.7 \times 10^{-5}\; \mathrm{K}^{-1}$ and $\alpha_{Al}=2.2 \times 10^{-5} \;\mathrm{K}^{-1} ) $

A

$6.8$

B

$113.9$

C

$88$

D

$68$

(NEET-2019)

Solution

At any temperature

$(\Delta l)_{\mathrm{Cu}}=(\Delta l)_{\mathrm{Al}}$

$\ell_{1} \alpha_{1} \Delta \mathrm{T}=\ell_{2} \alpha_{2} \Delta \mathrm{T}$

$88 \times 1.7 \times 10^{-5}=\ell_{2} \times 2.2 \times 10^{-5}$

$\ell_{2}=68 \mathrm{cm}$

Standard 11

Physics

Share

Similar Questions

A bakelite beaker has volume capacity of $500\, cc$ at $30^{\circ} C$. When it is partially filled with $V _{ m }$ volume (at $30^{\circ}$ ) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If $\gamma_{\text {(beaker) }}=6 \times 10^{-6}{ }^{\circ} C ^{-1}$ and $\gamma_{(\text {mercury })}=1.5 \times 10^{-4}{ }^{\circ} C ^{-1},$ where $\gamma$ is the coefficient of volume expansion, then $V _{ m }($in $cc )$ is close to

hard

(JEE MAIN-2020)

A solid ball of metal has a concentric spherical cavity within it. If the ball is heated, the volume of the cavity will

easy

''Anomalous expansion of water is blessing for living organisms in water''. Explain this statement. Explain Anomalous expansion of water.

medium

A circular metallic disc of radius $R$ has a small circular cavity of radius $r$ as shown in figure. On heating the system

easy

A glass flask is filled up to a mark with $50\, cc$ of mercury at $18°C.$ If the flask and contents are heated to $38°C.$ ……… $cc$ mercury will be above the mark $?$ $(\alpha$ for glass is $ 9 × 10^{-6}{°}C^{-1}$ and coefficient of real expansion of mercury is $180 × 10^{-6}{°}C^{-1})$

hard