Dimensional Formulas of Physical Quantities Used in Heat | Class 11 Physics | Question-Answer, FAQS, Worksheet, MCQS, Test Paper

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Heat is a form of energy transfer that occurs due to a temperature difference between two objects. It is measured in Joules (J) and plays a crucial role in thermodynamics.


Important Physical Quantities and Their Units Used in Heat

S.N.QuantityUnitDimension
1Temperature (T)Kelvin[M⁰L⁰T⁰θ¹]
2Heat (Q)Joule[ML²T⁻²]
3Specific Heat (c)Joule/kg-K[M⁰L²T⁻²θ⁻¹]
4Thermal capacityJoule/K[M¹L²T⁻²θ⁻¹]
5Latent heat (L)Joule/kg[M⁰L²T⁻²]
6Gas constant (R)Joule/mol-K[M¹L²T⁻²θ⁻¹]
7Boltzmann constant (k)Joule/K[M¹L²T⁻²θ⁻¹]
8Coefficient of thermal conductivity (K)Joule/m-s-K[M¹L¹T⁻³θ⁻¹]
9Stefan’s constant (σ)Watt/m²-K⁴[M¹L⁰T⁻³θ⁻⁴]
10Wien’s constant (b)Meter-K[M⁰L¹T⁰θ¹]
11Planck’s constant (h)Joule-s[M¹L²T⁻¹]
12Coefficient of Linear Expansion (α)Kelvin⁻¹[M⁰L⁰T⁰θ⁻¹]
13Mechanical eq. of Heat (J)Joule/Calorie[M⁰L⁰T⁰]
14Vander Waals constant (a)Newton-m⁴[ML⁵T⁻²]
15Vander Waals constant (b)[M⁰L³T⁰]

** Note : Here θ is used a dimensions of temperature


Question-Answer Format for Class 11 Physics CBSE Board Exam

Q1: What is the difference between heat and temperature?

A: Heat is the total kinetic energy of molecules, whereas temperature measures the average kinetic energy of molecules.

Q2: What is specific heat capacity?

A: The specific heat capacity of a substance is the amount of heat required to raise the temperature of 1 kg of the substance by 1 K.

Q3: Why does metal feel colder than wood at the same temperature?

A: Metal has higher thermal conductivity than wood, so it absorbs heat from our skin faster, making it feel colder.


Do You Know?

  • The Sun’s surface temperature is about 5,500°C, and it emits heat primarily through radiation.
  • Water has a high specific heat capacity, making it an excellent coolant.
  • Black surfaces absorb and emit heat faster than white or shiny surfaces.

Multiple Choice Questions (MCQs) with Answers

Q1: Which of the following has the highest specific heat capacity?

(a) Iron
(b) Copper
(c) Water
(d) Mercury
Answer: (c) Water
Explanation: Water has a high specific heat capacity, meaning it requires more heat to change its temperature.

Q2: What is the SI unit of heat?

(a) Kelvin
(b) Joule
(c) Calorie
(d) Watt
Answer: (b) Joule
Explanation: Heat energy is measured in Joules in the SI system.


Worksheet

  1. Define thermal conductivity.
  2. Explain the concept of heat transfer through conduction.
  3. A 500 g piece of iron is heated from 20°C to 80°C. How much heat is required? (Given: Specific heat of iron = 0.45 J/g°C)
  4. Why do we use cooking utensils made of metals?

Test Paper (Total: 20 Marks)

Section A: MCQs (5 × 1 = 5 Marks)

  1. What is the unit of Stefan’s constant?
  2. Define latent heat.
  3. What happens to the temperature of a substance during a phase change?
  4. Which law states that heat energy lost is equal to heat energy gained?
  5. What is the value of the gas constant R in SI units?

Section B: Short Answer Questions (3 × 2 = 6 Marks)

6. Differentiate between heat and temperature. 7. Explain why land heats up faster than water. 8. Define thermal capacity and give its unit.

Section C: Numerical Problems (2 × 4 = 8 Marks)

9. Calculate the amount of heat required to raise the temperature of 2 kg of water from 20°C to 60°C. (Specific heat of water = 4.18 J/g°C) 10. A rod expands 2 mm when heated from 25°C to 75°C. If its original length was 1 m, calculate its coefficient of linear expansion.

Section D: Long Answer Question (1 × 3 = 3 Marks)

11. Explain the working principle of a thermos flask with proper diagrams.


Important Points for Quick Revision

  • Heat is a form of energy transfer due to temperature differences.
  • SI unit of heat is Joule (J).
  • Three modes of heat transfer: Conduction, Convection, and Radiation.
  • Specific heat capacity is the heat required to raise 1 kg of a substance by 1 K.
  • Latent heat is the heat absorbed or released during a phase change without changing temperature.
  • Metals are good conductors of heat, while gases are poor conductors.
  • Heat transfer by radiation does not require a medium.

Test Your Knowledge (Quiz)

Heat Quiz body { margin: 0; padding: 0; font-family: Arial, sans-serif; background-color: #f4f4f4; } .quiz-container { width: 50%; margin: 20px auto; background: white; padding: 20px; border-radius: 10px; box-shadow: 0px 0px 10px rgba(0, 0, 0, 0.1); } .question { font-size: 18px; margin-bottom: 10px; } .options label { display: block; margin: 5px 0; } #submit-btn { margin-top: 20px; padding: 10px; background: #28a745; color: white; border: none; cursor: pointer; width: 100%; } #result { margin-top: 20px; font-size: 18px; }

Heat Quiz

const quizData = [ { question: “What is the SI unit of heat?”, options: [“Kelvin”, “Joule”, “Calorie”, “Watt”], answer: 1, explanation: “Heat energy is measured in Joules in the SI system.” }, { question: “Which mode of heat transfer does not require a medium?”, options: [“Conduction”, “Convection”, “Radiation”, “None of these”], answer: 2, explanation: “Radiation transfers heat without a medium.” }, { question: “What is the unit of specific heat capacity?”, options: [“Joule/kg-K”, “Newton”, “Watt”, “Kelvin”], answer: 0, explanation: “Specific heat capacity is measured in Joule/kg-K.” }, { question: “Which material has the highest specific heat capacity?”, options: [“Iron”, “Copper”, “Water”, “Mercury”], answer: 2, explanation: “Water has a high specific heat capacity, meaning it requires more heat to change its temperature.” }, { question: “What is latent heat?”, options: [“Heat required to change temperature”, “Heat required to change state”, “Heat required to increase volume”, “None of these”], answer: 1, explanation: “Latent heat is the heat absorbed or released during a phase change without changing temperature.” } ];function loadQuiz() { const quizContainer = document.getElementById(‘quiz’); quizData.forEach((q, index) => { const questionDiv = document.createElement(‘div’); questionDiv.classList.add(‘question’); questionDiv.innerHTML = `${index + 1}. ${q.question}`; quizContainer.appendChild(questionDiv);const optionsDiv = document.createElement(‘div’); optionsDiv.classList.add(‘options’); q.options.forEach((option, i) => { const label = document.createElement(‘label’); label.innerHTML = ` ${option}`; optionsDiv.appendChild(label); }); quizContainer.appendChild(optionsDiv); }); }function submitQuiz() { let score = 0; let resultHTML = “

Results

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Q${index + 1}: Correct! ${q.explanation}

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