Match List I with List II.
List I List II A. Torque I. Nms–1 B. Stress II. Jkg–1 C. Latent Heat III. Nm D. Power IV Nm–2
Choose the correct answer from the options given below
Match List I with List II.
| List I | List II | ||
|---|---|---|---|
| A. | Torque | I. | Nms–1 |
| B. | Stress | II. | Jkg–1 |
| C. | Latent Heat | III. | Nm |
| D. | Power | IV | Nm–2 |
Choose the correct answer from the options given below
- A-III, B-II, C-I, D-IV
- A-III, B-IV, C-II, D-I
- A-IV, B-I, C-III, D-II
- A-II, B-III, C-I, D-IV
The Correct Option is B
Solution and Explanation
To solve this matching problem, we need to associate terms from List I with their respective physical units from List II. Here's the step-by-step explanation:
- Torque (Nm): Torque is the rotational equivalent of linear force. It is calculated as the cross product of the lever-arm distance and force, and its unit is Newton-meter (Nm).
- Stress (Nm-2): Stress is defined as the force applied per unit area. It is expressed in Pascals, where 1 Pascal is 1 Newton per square meter, hence the unit is Nm-2.
- Latent Heat (Jkg-1): Latent heat is the heat required for a substance to change phase at a constant temperature and is measured in Joules per kilogram (Jkg-1).
- Power (Nms-1): Power is the rate of doing work or transferring heat, and it is measured as energy per unit of time. Thus, its unit is Newton meter per second (Nms-1), equivalent to Watts.
Based on the above explanations, the correct match is A-III, B-IV, C-II, D-I. Let's verify with the options given:
- Option 1: Incorrect
- Option 2: Correct
- Option 3: Incorrect
- Option 4: Incorrect
Therefore, the correct answer is A-III, B-IV, C-II, D-I.
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Concepts Used:
Stress Strain Curve
Stress:
The force applied per unit area in mechanics is understood as stress.
σ=FA
- σ is stress applied
- F is force applied
- A is that the area of force applied
- Stress is measured by unit N/m2
The ratio of internal force F that is produced when a substance is deformed, to the area A where force is applied is referred to as stress.
Strain:
Strain can be referred to as the ratio of the amount of deformation that the body experiences in the direction of force applied to the initial sizes of the body. The relation of deformation in terms of the length of the solid is shown below:
ε=δlL
where,
- ε = strain due to the stress applied
- δl = modified long
- L = the original length of the material
- Strain = the ratio for change of shape or size to the initial shape or size. It's expressed in numbers because it doesn't have any dimensions.
As strain defines the relative change in shape and it's a dimensionless quantity.
Explanation of Stress-Strain Curve:
The material's stress-strain curve delineates the connection between stress and strain for materials. In other words, a stress-strain curve is a graphical representation that shows the reaction of a material when a load is applied.