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The temperature at which the Celsius and Fahrenheit thermometers agree (to give the same numerical value) is:

1. \(-40^\circ\)

2. \(40^\circ\)

3. \(0^\circ\)

4. \(50^\circ\)

Subtopic: Temperature and Heat |

87%

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On a new scale of temperature, which is linear and called the \(\mathrm{W}\) scale, the freezing and boiling points of water are \(39^\circ ~\mathrm{W}\)$$and \(239^\circ ~\mathrm{W}\) respectively. What will be the temperature on the new scale corresponding to a temperature of \(39^\circ ~\mathrm{C}\) on the Celsius scale?

1. \(78^\circ ~\mathrm{C}\)

2. \(117^\circ ~\mathrm{W}\)

3. \(200^\circ ~\mathrm{W}\)

4. \(139^\circ ~\mathrm{W}\)

Subtopic: Temperature and Heat |

83%

From NCERT

AIPMT - 2008

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The triple points of neon and carbon dioxide are \(24.57\) K and \(216.55\) K respectively. The value of these temperatures on Fahrenheit scales will be:

1. | \(-415.44^\circ ~\mathrm{F} ,~-69.88^\circ ~\mathrm{F}\) |

2. | \(-248.58^\circ ~\mathrm{F} ,~-56.60^\circ~ \mathrm{F}\) |

3. | \(315.44^\circ ~\mathrm{F} ,~-69.88^\circ ~\mathrm{F}\) |

4. | \(415.44^\circ ~\mathrm{F} ,~-79.88^\circ~ \mathrm{F}\) |

Subtopic: Temperature and Heat |

66%

From NCERT

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The ice-point reading on a thermometer scale is found to be \(20^\circ,\) while the steam point is found to be \(70^\circ.\) When this thermometer reads \(100^\circ ,\) the actual temperature is:

1. \(80^\circ~\mathrm{C}\)

2. \(130^\circ~\mathrm{C}\)

3. \(160^\circ~\mathrm{C}\)

4. \(200^\circ~\mathrm{C}\)

Subtopic: Temperature and Heat |

78%

From NCERT

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Mercury having a coefficient of thermal expansion \(\gamma\) is poured into a thin glass tube, which does not expand on heating. The length of the mercury column is \(L.\) If the temperature is raised by \(\theta,\) the new length of the mercury column will be:

1. \(L(1+\gamma\theta)\)

2. \(L(1+\frac\gamma2\theta)\)

3. \(L(1+\frac\gamma3\theta)\)

4. \(L(1+\frac{2\gamma}3\theta)\)

1. \(L(1+\gamma\theta)\)

2. \(L(1+\frac\gamma2\theta)\)

3. \(L(1+\frac\gamma3\theta)\)

4. \(L(1+\frac{2\gamma}3\theta)\)

Subtopic: Thermal Expansion |

59%

From NCERT

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The 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 \((L_2-L_1)\) remains the same at all temperatures, which one of the following relations holds good?

1. \(\alpha_1L_2^2=\alpha_2L_1^2\)

2. \(\alpha_1^2L_2=\alpha_2^2L_1\)

3. \(\alpha_1L_1=\alpha_2L_2\)

4. \(\alpha_1L_2=\alpha_2L_1\)

Subtopic: Thermal Expansion |

88%

From NCERT

NEET - 2016

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The coefficient of area expansion \(\beta\) of a rectangular sheet of a solid in terms of the coefficient of linear expansion \(\alpha\) is:

1. \(2\alpha\)

2. \(\alpha\)

3. \(3\alpha\)

4. \(\alpha^2\)

Subtopic: Thermal Expansion |

90%

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The density of water at \(20^\circ \text{C}\) is \(998\) kg/m^{3} and at \(40^\circ \text{C}\) is \(992\) kg/m^{3}. The coefficient of volume expansion of water is:

1. \(3 \times 10^{-4} / ^\circ\text C\)

2. \(2 \times 10^{-4} / ^\circ\text C\)

3. \(6 \times 10^{-4} / ^\circ\text C\)

4. \(10^{-4} / ^\circ\text C\)

1. \(3 \times 10^{-4} / ^\circ\text C\)

2. \(2 \times 10^{-4} / ^\circ\text C\)

3. \(6 \times 10^{-4} / ^\circ\text C\)

4. \(10^{-4} / ^\circ\text C\)

Subtopic: Thermal Expansion |

71%

From NCERT

NEET - 2013

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A rod \(\mathrm{A}\) has a coefficient of thermal expansion \((\alpha_A)\) which is twice of that of rod \(\mathrm{B}\) \((\alpha_B)\). The two rods have length \(l_A,~l_B\) where \(l_A=2l_B\). If the two rods were joined end-to-end, the average coefficient of thermal expansion is:

1. \(\alpha_A\)

2. \(\frac{2\alpha_A}{6}\)

3. \(\frac{4\alpha_A}{6}\)

4. \(\frac{5\alpha_A}{6}\)

Subtopic: Thermal Expansion |

61%

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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