OnlineCBT
Physics · WORK, ENERGY AND POWER
हिन्दीMatch List-I with List-II: List-I (Physical Quantity / Concept) List-II (Dimension / Mathematical Expression) A Work done by spring force from \( 0 \) to \( x_m \) I \( [\text{M}\text{L}^2\text{T}^{-3}] \) B Spring constant \( k \) II \( -\frac{1}{2}kx_m^2 \) C Ratio \( k/m \) for oscillating block III \( [\text{T}^{-2}] \) D Instantaneous Power IV \( [\text{M}\text{T}^{-2}] \) Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I (Physical Quantity / Concept) | List-II (Dimension / Mathematical Expression) | ||
|---|---|---|---|
| A | Work done by spring force from \( 0 \) to \( x_m \) | I | \( [\text{M}\text{L}^2\text{T}^{-3}] \) |
| B | Spring constant \( k \) | II | \( -\frac{1}{2}kx_m^2 \) |
| C | Ratio \( k/m \) for oscillating block | III | \( [\text{T}^{-2}] \) |
| D | Instantaneous Power | IV | \( [\text{M}\text{T}^{-2}] \) |
Choose the correct answer from the options given below:
View Answer & Solution
Correct answer · Option C
A-(II), B-(IV), C-(III), D-(I)
Explanation
Work done by spring force is \( -\frac{1}{2}kx_m^2 \) (A-II). Spring constant dimension is \( [\text{MT}^{-2}] \) (B-IV). \( k/m = \omega^2 \) has dimension \( [\text{T}^{-2}] \) (C-III). Power dimension is \( [\text{ML}^2\text{T}^{-3}] \) (D-I). Hence, correct option is 1.
