JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
Match List \(I\) with List \(II\) :
| List \(I\) (Physical Quantity) | List \(II\) (Dimensional Formula) |
| \((A)\) Pressure gradient | \((I)\) \(\left[ M ^0 L ^2 T ^{-2}\right]\) |
| \((B)\) Energy density | \((II)\) \(\left[ M ^1 L ^{-1} T ^{-2}\right]\) |
| \((C)\) Electric Field | \((III)\) \(\left[ M ^1 L ^{-2} T ^{-2}\right]\) |
| \((D)\) Latent heat | \((IV)\) \(\left[ M ^1 L ^1 T ^{-3} A ^{-1}\right]\) |
- A \((A)-(III), (B)-(II), (C)-(I), (D)-(IV)\)
- B \((A)-(II), (B)-(III), (C)-(IV), (D)-(I)\)
- C \((A)-(III), (B)-(II), (C)-(IV), (D)-(I)\)
- D \((A)-(II), (B)-(III), (C)-(I), (D)-(IV)\)
Answer & Solution
Correct Answer
(C) \((A)-(III), (B)-(II), (C)-(IV), (D)-(I)\)
Step-by-step Solution
Detailed explanation
Pressure gradient\(=\frac{ dp }{ dx }=\frac{\left[ ML ^{-1} T ^{-2}\right]}{[ L ]}\) \(=\left[ M ^1 L ^{-2} T ^{-2}\right]\) Energy density \(=\frac{\text { energy }}{\text { volume }}=\frac{\left[ ML ^2 T ^{-2}\right]}{\left[ L ^3\right]}\)…
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