Units & Dimensions

JEE Main level, single correct, medium

36 of 149

Question 36 of 149

Match the LIST-I withLIST-II
Choose the correct answer from the options given below :

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

(A) [k]=PVNT=ML2 T−2 K=ML2 T−2 K−1[\mathrm{k}]=\frac{\mathrm{PV}}{\mathrm{NT}}=\frac{\mathrm{ML}^2 \mathrm{~T}^{-2}}{\mathrm{~K}}=\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}
(B)
[η]=F6πrv=MLT−2 L2 T−1=ML−1 T−1[\eta]=\frac{\mathrm{F}}{6 \pi \mathrm{rv}}=\frac{\mathrm{MLT}^{-2}}{\mathrm{~L}^2 \mathrm{~T}^{-1}}=\mathrm{ML}^{-1} \mathrm{~T}^{-1}
(C)
[h]=Ef=ML2 T−2 T−1=ML2 T−1[\mathrm{h}]=\frac{\mathrm{E}}{\mathrm{f}}=\frac{\mathrm{ML}^2 \mathrm{~T}^{-2}}{\mathrm{~T}^{-1}}=\mathrm{ML}^2 \mathrm{~T}^{-1}
(D)
dQdt=kAdTdx\frac{\mathrm{dQ}}{\mathrm{dt}}=\mathrm{k} \frac{\mathrm{AdT}}{\mathrm{dx}}
k=(ML2 T−3)LL2⋅ K=MLT−3 K−1\mathrm{k}=\frac{\left(\mathrm{ML}^2 \mathrm{~T}^{-3}\right) \mathrm{L}}{\mathrm{L}^2 \cdot \mathrm{~K}}=\mathrm{MLT}^{-3} \mathrm{~K}^{-1}

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