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Units and Measurements question

2022 · 29 Jul · Shift 2 · Q45
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  5. /2022 · 29 Jul · Shift 2 · Q45

Units and Measurements question

2022 · 29 Jul · Shift 2 · Q45

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1

Match List I with List II.

List I List II
A. Torque I. Nms −1^{ - 1}−1
B. Stress II. J kg −1^{ - 1}−1
C. Latent Heat III. Nm
D. Power IV. Nm −2^{ - 2}−2

Choose the correct answer from the options given below :

  1. A
    A-III, B-II, C-I, D-IV
  2. B
    A-III, B-IV, C-II, D-I
  3. C
    A-IV, B-I, C-III, D-II
  4. D
    A-II, B-III, C-I, D-IV
View written solutionFree

Correct answer: B

  1. We match each physical quantity with its SI unit.

  2. A. Torque

    Torque is given by: τ=rF\tau = rFτ=rF Its SI unit is: N⋅m\text{N}\cdot\text{m}N⋅m So, A→IIIA \to IIIA→III

  3. B. Stress

    Stress is force per unit area: Stress=FA\text{Stress} = \frac{F}{A}Stress=AF​ Unit: Nm2=N m−2\frac{\text{N}}{\text{m}^2} = \text{N m}^{-2}m2N​=N m−2 So, B→IVB \to IVB→IV

  4. C. Latent Heat

    Here latent heat means specific latent heat, i.e. heat required per unit mass. Unit: J kg−1\text{J kg}^{-1}J kg−1 Since, 1 J=1 N m1\,\text{J} = 1\,\text{N m}1J=1N m we keep the standard form: C→IIC \to IIC→II

  5. D. Power

    Power is rate of doing work: P=WtP = \frac{W}{t}P=tW​ Unit: Js=N ms=N m s−1\frac{\text{J}}{\text{s}} = \frac{\text{N m}}{\text{s}} = \text{N m s}^{-1}sJ​=sN m​=N m s−1 So, D→ID \to ID→I

  6. Therefore the correct matching is: A−III,  B−IV,  C−II,  D−IA-III,\; B-IV,\; C-II,\; D-IA−III,B−IV,C−II,D−I

  7. Comparing with the options, this is Option B.

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