Units & Dimensions

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41 of 149

Question 41 of 149

Match List-I with List-II.
List-IList-II(A) Coefficient of viscosity(I) [ML0 T−3](B) Intensity of wave(II) [ML−2 T−2](C) Pressure gradient(III) [M−1LT2](D) Compressibility(IV) [ML−1 T−1]\begin{array}{ll} \text{List-I} & \text{List-II} \\ \text{(A) Coefficient of viscosity} & \text{(I) } \left[\mathrm{ML}^0 \mathrm{~T}^{-3}\right] \\ \text{(B) Intensity of wave} & \text{(II) } \left[\mathrm{ML}^{-2} \mathrm{~T}^{-2}\right] \\ \text{(C) Pressure gradient} & \text{(III) } \left[\mathrm{M}^{-1} \mathrm{LT}^2\right] \\ \text{(D) Compressibility} & \text{(IV) } \left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]\end{array}
Choose the correct answer from the options given below :

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Answer: (B) (A)-(IV), (B)-(I), (C)-(II), (D)-(III)

(A) Coefficient of viscosity
[η]=[M1 L−1 T−1][\eta]=\left[\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-1}\right]
(B) Intensity
[I]=[M1 L0 T−3][\mathrm{I}]=\left[\mathrm{M}^1 \mathrm{~L}^0 \mathrm{~T}^{-3}\right]
(C) Pressure gradient
=[ML−2 T−2]=\left[\mathrm{ML}^{-2} \mathrm{~T}^{-2}\right]
(D) Compressibility
[K]=[M−1 L1 T2][\mathrm{K}]=\left[\mathrm{M}^{-1} \mathrm{~L}^1 \mathrm{~T}^2\right]

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