Units & Dimensions

JEE Main level, single correct, medium

110 of 149

Question 110 of 149

Match List - I with List - II : List−IList-I List−IIList-II (a)\left(a\right) hh (Planck's constant) (i)\left(i\right) [MLT−1]\left[{MLT}^{-1}\right] (b)\left(b\right) EE (kinetic energy) (ii)\left(ii\right) [ML2T−1]\left[{ML}^{2}{T}^{-1}\right] (c)\left(c\right) VV (electric potential) (iii)\left(iii\right) [ML2T−2]\left[{ML}^{2}{T}^{-2}\right] (d)\left(d\right) PP (linear momentum) (iv)\left(iv\right) [ML2I−1T−3]\left[{ML}^{2}{I}^{-1}{T}^{-3}\right] Choose the correct answer from the options given below:

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Answer: (A) (a)→(ii),(b)→(iii),(c)→(iv),(d)→(i)\left(a\right)\rightarrow \left(ii\right),\left(b\right)\rightarrow \left(iii\right),\left(c\right)\rightarrow \left(iv\right),\left(d\right)\rightarrow \left(i\right)

By dimensional analysis.
K.E.=[ML2T−2]K.E.=\left[{ML}^{2}{T}^{-2}\right]
PP (linear momentum) =[MLT−1]=\left[{MLT}^{-1}\right]
h(h( planck's constant )=[ML2T−1])=\left[{ML}^{2}{T}^{-1}\right]
VV (electric potential )=[ML2T−3I−1])=\left[{ML}^{2}{T}^{-3}{I}^{-1}\right]

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