Match List I with II and select the correct answer:
List-I List-II
A.Spring constant 1. $M^{1} L^{2} T^{- 2}$
B.pascal 2. $M^{0} L^{0} T^{- 1}$
C.hertz 3. $M^{1} L^{0} T^{- 2}$
D.joule 4. $M^{1} L^{- 1} T^{- 2}$

A-3, B-4, C-2, D-1

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A-4, B-3, C-1, D-2

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A-4, B-3, C-2, D-1

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A-3, B-4, C-1, D-2

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Solution

The correct option is A A-3, B-4, C-2, D-1
Spring constant dimensions will be $K = \frac{F}{X} = \frac{M L T^{- 2}}{L} = M L^{0} T^{- 2}$
Pascal is unit of pressure $\frac{F}{A} = \frac{M L T^{- 2}}{L^{2}} = M L^{- 1} T^{- 2}$
Hertz is frequency $= \frac{1}{t} = T^{- 1}$
Joule is unit of energy so dimension is $M L^{2} T^{- 2}$

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\begin{matrix} Complex Substances & Simple Substances 1. Polysaccharides & a) Amino acids 2. Protein & b) Monosaccharides 3. Fats & c) Sugar + Bases 4. Nucleic acids & d) Fatty acids + Glycerol \end{matrix}

\begin{matrix} List I(Physical quantity) & List II (Dimensions) A. Force & {1. T}^{- 1} B. Angular velocity & {2. MLT}^{- 2} C. Torque & {3. ML}^{- 1} T^{- 2} D. Stress & {4. ML}^{- 1} T^{- 1} {5. ML}^{2} T^{- 2} \end{matrix}

Match List-I with List-II and select the correct answer using the codes given below the lists.

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