Question types

10.1, thermonetry,thermal expansion and calorimetry question types

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Sample Questions

10.1, thermonetry,thermal expansion and calorimetry questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

A metallic bar of Young's modulus, $0.5 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$ and coefficient of linear thermal expansion $10^{-5}{ }^{\circ} \mathrm{C}^{-1}$, length $1 \mathrm{~m}$ and area of cross-section $10^{-3} \mathrm{~m}^2$ is heated from $0^{\circ} \mathrm{C}$ to $100^{\circ} \mathrm{C}$ without expansion or bending. The compressive force developed in it is :
  • $50 \times 10^3 \mathrm{~N}$
  • B
    $100 \times 10^3 \mathrm{~N}$
  • C
    $2 \times 10^3 \mathrm{~N}$
  • D
    $5 \times 10^3 \mathrm{~N}$

Answer: A.

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The quantities of heat required to raise the temperature of two solid copper spheres of radil $r _{1}$ and $r _{2}\left( r _{1}=1.5 r _{2}\right)$ through $1\;K$ are in the ratio
  • A
    $\frac{5}{3}$
  • $\frac{27}{8}$
  • C
    $\frac{9}{4}$
  • D
    $\frac{3}{2}$

Answer: B.

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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
    $88$
  • $68$

Answer: D.

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A piece of ice falls from a height $h$ so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of $h$ is

[Latent heat of ice is $3.4 \times 10^{5}\; J / k g$ and $g=10\; N / kg ]$

  • A
    $544 $
  • $136 $
  • C
    $68$
  • D
    $34$

Answer: B.

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Coefficient of linear expansion of brass and steel rods are $\alpha_1$ and $\alpha_2$. Lengths of brass and steel rods are $l_1$ and $l_2$ respectively. If $\left(l_2-l_1\right)$ is maintained same at all temperatures, which one of the following relations holds good?
  • A
    ${ \alpha _1}{l_2}^2 = \;{ \alpha _2}{l_1}^2$
  • B
    ${ \alpha_1}^2{l_2} =\;\;{ \alpha_2}^2 {l_1}$
  • ${ \alpha _1} {l_1} ={ \alpha _2} {l_2}$
  • D
    ${ \alpha_1} {l_2}={ \alpha _2} {l_1}$

Answer: C.

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