Match List I with List II:
Choose the correct answer from the options given below:
| List I (Physical Quantity) | List II (Dimensional Formula) |
|---|---|
| A. Pressure gradient | I. |
| B. Energy density | II. |
| C. Electric Field | III. |
| D. Latent heat | IV. |
Choose the correct answer from the options given below:
- A.A-III, B-II, C-I, D-IV
- B.A-III, B-II, C-IV, D-I
- C.A-II, B-III, C-I, D-IV
- D.A-II, B-III, C-IV, D-I
Show answer and solution
Correct option: B
Solution
Pressure gradient = Pressure/length = [ML⁻¹T⁻²]/[L] = [ML⁻²T⁻²] → matches III.
Energy density = Energy/Volume = [ML²T⁻²]/[L³] = [ML⁻¹T⁻²] → matches II.
Electric Field = Force/Charge = [MLT⁻²]/[AT] = [MLT⁻³A⁻¹] → matches IV.
Latent heat = Heat/mass = [ML²T⁻²]/[M] = [M⁰L²T⁻²] → matches I.
So the correct matching is A-III, B-II, C-IV, D-I, which is option 2.
Energy density = Energy/Volume = [ML²T⁻²]/[L³] = [ML⁻¹T⁻²] → matches II.
Electric Field = Force/Charge = [MLT⁻²]/[AT] = [MLT⁻³A⁻¹] → matches IV.
Latent heat = Heat/mass = [ML²T⁻²]/[M] = [M⁰L²T⁻²] → matches I.
So the correct matching is A-III, B-II, C-IV, D-I, which is option 2.
[JEE Main 2023 · 29 Jan · Shift 1]