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1.Units, Dimensions and Measurement
medium
Match List $I$ with List $II$
| List $I$ | List $II$ |
| $A$ Spring constant | $I$ $(T ^{-1})$ |
| $B$ Angular speed | $II$ $(MT ^{-2})$ |
| $C$ Angular momentum | $III$ $(ML ^2)$ |
| $D$ Moment of Inertia | $IV$ $(ML ^2 T ^{-1})$ |
A$(A)-(II), (B)-(I), (C)-(IV), (D)-(III)$
B$(A)-(IV), (B)-(I), (C)-(III), (D)-(II)$
C$(A)-(II), (B)-(III), (C)-(I), (D)-(IV)$
D$(A)-(I), (B)-(III), (C)-(II), (D)-(IV)$
(JEE MAIN-2023)
Solution
Spring Constant
${[ K ]=\frac{[ F ]}{[ x ]}=\frac{ MLT ^{-2}}{ L }= MT ^{-2}}$
${[\omega]=\frac{[\theta]}{[ t ]}=\frac{1}{ T }= T ^{-1}}$
${[ K ]=\frac{[ F ]}{[ x ]}=\frac{ MLT ^{-2}}{ L }= MT ^{-2}}$
${[\omega]=\frac{[\theta]}{[ t ]}=\frac{1}{ T }= T ^{-1}}$
Standard 11
Physics
Similar Questions
Match List$-I$ with List$-II.$
| List$-I$ | List$-II$ |
| $(a)$ Capacitance, $C$ | $(i)$ ${M}^{1} {L}^{1} {T}^{-3} {A}^{-1}$ |
| $(b)$ Permittivity of free space, $\varepsilon_{0}$ | $(ii)$ ${M}^{-1} {L}^{-3} {T}^{4} {A}^{2}$ |
| $(c)$ Permeability of free space, $\mu_{0}$ | $(iii)$ ${M}^{-1} L^{-2} T^{4} A^{2}$ |
| $(d)$ Electric field, $E$ | $(iv)$ ${M}^{1} {L}^{1} {T}^{-2} {A}^{-2}$ |
