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Three rods made of the same material, having the same cross-sectional area but different lengths 10 cm, 20 cm and 30 cm are joined as shown. The temperature of the junction will be:-

1. \(10.8^{\circ}\mathrm{C}\)

2. \(14.6^{\circ}\mathrm{C}\)

3. \(16.4^{\circ}\mathrm{C}\)

4. \(18.2^{\circ}\mathrm{C}\)

Subtopic: Conduction |

70%

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5 g of water at \(30^{\circ} \mathrm{C}\) and 5 g of ice at \(-20^{\circ} \mathrm{C}\) are mixed together in a calorimeter. The water equivalent of the calorimeter is negligible, and the specific heat and latent heat of ice are 0.5 \(\text{cal/g}^{\circ} \mathrm{C}\) and 80 \(\text{cal/g}\), respectively. The final temperature of the mixture is:

1. | \(0^{\circ} \mathrm{C}\) | 2. | \(-8^{\circ} \mathrm{C}\) |

3. | \(-4^{\circ} \mathrm{C}\) | 4. | \(2^{\circ} \mathrm{C}\) |

Subtopic: Calorimetry |

72%

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Four rods of the same material with different radii \(r\)* *and length \(l\) are used to connect two heat reservoirs at different temperatures. In which of the following cases is the heat conduction fastest?

1. \(r = \frac{1}{3}~\text{cm}, l = \frac{1}{9}~\text{cm}\)

2. \(r =3~\text{cm}, l =9~\text{cm}\)

3. \(r =4~\text{cm}, l =8~\text{cm}\)

4. \(r =1~\text{cm}, l =1~\text{cm}\)

Subtopic: Conduction |

73%

From NCERT

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Two absolute scales \(A \) and \(B,\) have triple points of water defined to be \(200 A\) and \(350 B\). The relationship between \(T_A \) and \(T_B\):

1. \(T_A = {5 \over 7}T_B\)

2. \(T_A = { 4 \over 7}T_B\)

3. \(T_A = { 6 \over 7}T_B\)

4. \(T_A = T_B\)

1. \(T_A = {5 \over 7}T_B\)

2. \(T_A = { 4 \over 7}T_B\)

3. \(T_A = { 6 \over 7}T_B\)

4. \(T_A = T_B\)

Subtopic: Temperature and Heat |

73%

From NCERT

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A brass wire \(1.8\) m long at \(27\) °C is held taut with a little tension between two rigid supports. If the wire is cooled to a temperature of\(-39\) °C, what is the tension created in a wire with a diameter of \(2.0\) mm? (coefficient of linear expansion of brass \(=2.0 \times10^{-5}\) K^{–1}, Young's modulus of brass\(=0.91 \times10^{11}\) Pa)

1. \(3.8 \times 10^3\) N

2. \(3.8 \times 10^2\) N

3. \(2.9 \times 10^{-2}\) N

4. \(2.9 \times 10^{2}\) N

Subtopic: Thermal Stress |

67%

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In an experiment on the specific heat of a metal, a \(0.20\) kg block of the metal at \(150^{\circ}\text{C}\) is dropped in a copper calorimeter (of water equivalent of \(0.025\) kg) containing \(150~\text{cm}^{3}\) of water at \(27^{\circ}\text{C}\). The final temperature is \(40^{\circ}\text{C}\). The specific heat of the metal will be:

(Heat losses to the surroundings are negligible)

1. \(0 . 40 ~ \text{Jg}^{- 1} \text{K}^{- 1}\)

2. \(0 . 43 ~ \text{Jg}^{- 1} \text{K}^{- 1}\)

3. \(0 . 54 ~ \text{Jg}^{- 1} \text{K}^{- 1}\)

4. \(0 . 61 ~ \text{Jg}^{- 1} \text{K}^{- 1}\)

Subtopic: Calorimetry |

60%

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The plots of intensity versus wavelength for three black bodies at temperatures ${\mathrm{T}}_{1}$, ${\mathrm{T}}_{2}$ and ${\mathrm{T}}_{3}$ respectively are as shown. Their temperatures are such that:

1. | \(\mathrm{T}_1>\mathrm{T}_2>\mathrm{T}_3 \) | 2. | \(\mathrm{T}_1>\mathrm{T}_3>\mathrm{T}_2 \) |

3. | \(\mathrm{T}_2>\mathrm{T}_3>\mathrm{T}_1 \) | 4. | \(\mathrm{T}_3>\mathrm{T}_2>\mathrm{T}_1\) |

Subtopic: Wien's Displacement Law |

64%

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Two rods (one semi-circular and the other straight) of the same material and of the same cross-sectional area are joined as shown in the figure. Points \(A\) and \(B\) are maintained at different temperatures. The ratio of the heat transferred through a cross-section of a semi-circular rod to the heat transferred through a
cross-section of a straight rod at any given point in time will be:

1. \(2:\pi\)

2. \(1:2\)

3. \(\pi:2\)

4. \(3:2\)

Subtopic: Conduction |

66%

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The temperature of a body falls from \(50^{\circ}\mathrm{C}\)$\mathrm{}$ to \(40^{\circ}\mathrm{C}\)$\mathrm{}$ in 10 minutes. If the temperature of the surroundings is \(20^{\circ}\mathrm{C}\)$\mathrm{,\; t}$hen the temperature of the body after another 10 minutes will be:

1. \(36.6^{\circ}\mathrm{C}\)

2. \(33.3^{\circ}\mathrm{C}\)$\mathrm{}$

3. \(35^{\circ}\mathrm{C}\)

4. \(30^{\circ}\mathrm{C}\)$\mathrm{}$

Subtopic: Newton's Law of Cooling |

79%

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Steam at \(100^{\circ}\mathrm{C}\) is injected into 20 g of \(10^{\circ}\mathrm{C}\) water. When water acquires a temperature of \(80^{\circ}\mathrm{C}\), the mass of water present will be: (Take specific heat of water =1 cal g^{-1} \(^\circ\)C^{-1} and latent heat of steam = 540 cal g^{-1})

1. | 24 g | 2. | 31.5g |

3. | 42.5 g | 4. | 22.5 g |

Subtopic: Calorimetry |

71%

From NCERT

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