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A metallic bar of Young's modulus \(0.5 \times 10^{11}~\text{Nm}^{-2},\) coefficient of linear thermal expansion \(10^{-5} ~^{\circ}\text{C}^{-1},\) length \(1~\text m\) and cross-sectional area \(10^{-3} ~\text{m}^2\) is heated from \(0^\circ \text{C}\) to \(100^\circ \text C\) without expansion or bending. The compressive force developed in the metallic bar is:

1. \(50 \times 10^3~ \text N\)

2. \(100 \times 10^3 ~\text N\)

3. \(2 \times 10^3~\text N\)

4. \(5 \times 10^3 ~\text N\)

1. \(50 \times 10^3~ \text N\)

2. \(100 \times 10^3 ~\text N\)

3. \(2 \times 10^3~\text N\)

4. \(5 \times 10^3 ~\text N\)

Subtopic: Thermal Stress |

72%

From NCERT

NEET - 2024

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Two rods, one made of copper and other made of steel, of the same length and same cross sectional area are joined together. The thermal conductivity of copper and steel are \(385~\text{Js}^{-1}\text{K}^{-1}\text{m}^{-1}\) and \(50~\text{Js}^{-1}\text{K}^{-1}\text{m}^{-1}\) respectively. The free ends of copper and steel are held at \(100^\circ \text{C}\) and \(0^\circ \text{C}\) respectively. The temperature at the junction is, nearly:

1. \(12^\circ \text{C}\)

2. \(50^\circ \text{C}\)

3. \(73^\circ \text{C}\)

4. \(88.5^\circ \text{C}\)

1. \(12^\circ \text{C}\)

2. \(50^\circ \text{C}\)

3. \(73^\circ \text{C}\)

4. \(88.5^\circ \text{C}\)

Subtopic: Conduction |

71%

From NCERT

NEET - 2022

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A cup of coffee cools from \(90^{\circ}\text{C}\) $\mathrm{to}$ \(80^{\circ}\text{C}\) in \(t\) minutes, when the room temperature is \(20^{\circ}\text{C}\)$\mathrm{}$. The time taken by a similar cup of coffee to cool from \(80^{\circ}\text{C}\) $\mathrm{to}$ \(60^{\circ}\text{C}\) at room temperature same at \(20^{\circ}\text{C}\) is:

1. \(\dfrac{10}{13}t\)

2. \(\dfrac{5}{13}t\)

3. \(\dfrac{13}{10}t\)

4. \(\dfrac{13}{5}t\)

Subtopic: Newton's Law of Cooling |

62%

From NCERT

NEET - 2021

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The quantities of heat required to raise the temperature of two solid copper spheres of radii \(r_1\) and \(r_2\) \((r_1=1.5~r_2)\) through \(1~\text{K}\) are in the ratio:

1. | \(\dfrac{9}{4}\) | 2. | \(\dfrac{3}{2}\) |

3. | \(\dfrac{5}{3}\) | 4. | \(\dfrac{27}{8}\) |

Subtopic: Conduction |

52%

From NCERT

NEET - 2020

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Three stars \(A,\) \(B,\) and \(C\) have surface temperatures \(T_A,~T_B\) and \(T_C\) respectively. Star \(A\) appears bluish, star \(B\) appears reddish and star \(C\) yellowish. Hence:

1. \(T_A>T_B>T_C\)

2. \(T_B>T_C>T_A\)

3. \(T_C>T_B>T_A\)

4. \(T_A>T_C>T_B\)

Subtopic: Wien's Displacement Law |

68%

From NCERT

NEET - 2020

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A copper rod of \(88\) cm and an aluminium rod of an unknown length have an equal increase in their lengths independent of an increase in temperature. The length of the aluminium rod is:

\(\left(\alpha_{Cu}= 1.7\times10^{-5}~\text{K}^{-1}~\text{and}~\alpha_{Al}= 2.2\times10^{-5}~\text{K}^{-1}\right)\)

1. \(68~\text{cm}\)

2. \(6.8~\text{cm}\)

3. \(113.9~\text{cm}\)

4. \(88~\text{cm}\)

Subtopic: Thermal Expansion |

76%

From NCERT

NEET - 2019

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An object kept in a large room having an air temperature of \(25^\circ \text{C}\) takes \(12\) minutes to cool from \(80^\circ \text{C}\) to \(70^\circ \text{C}.\) The time taken to cool for the same object from \(70^\circ \text{C}\) to \(60^\circ \text{C}\) would be nearly:

1. \(10\) min

2. \(12\) min

3. \(20\) min

4. \(15\) min

Subtopic: Newton's Law of Cooling |

78%

From NCERT

NEET - 2019

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A deep rectangular pond of surface area \(A\), containing water (density = \(\rho,\) specific heat capacity = \(s\)), is located in a region where the outside air temperature is at a steady value of \(-26^{\circ}\text{C}\)$$. The thickness of the ice layer in this pond at a certain instant is \(x\). Taking the thermal conductivity of ice as \(k\), and its specific latent heat of fusion as \(L\), the rate of increase of the thickness of the ice layer, at this instant, would be given by:

1. \(\dfrac{26k}{x\rho L-4s}\)

2. \(\dfrac{26k}{x^2\rho L}\)

3. \(\dfrac{26k}{x\rho L}\)

4. \(\dfrac{26k}{x\rho L+4s}\)

Subtopic: Conduction |

52%

From NCERT

NEET - 2019

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The power radiated by a black body is \(P\) and it radiates maximum energy at wavelength ${}_{}$\(\lambda_0\)

1. \( \frac{3}{4} \)

2. \( \frac{4}{3} \)

3. \( \frac{256}{81} \)

4. \( \frac{81}{256}\)

Subtopic: Wien's Displacement Law |

65%

From NCERT

NEET - 2018

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Two rods, A and B, of different materials having the same cross-sectional area are welded together as shown in the figure. Their thermal conductivities are ${K}_{1}$ and ${K}_{2}$. The thermal conductivity of the composite rod will be:

1. $\frac{{K}_{1}+{K}_{2}}{2}$

2. $\frac{3\left({K}_{1}+{K}_{2}\right)}{2}$

3. ${K}_{1}+{K}_{2}$

4. $2\left({K}_{1}+{K}_{2}\right)$

Subtopic: Conduction |

78%

From NCERT

NEET - 2017

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