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NEET Physics QUESTION #7219
Question 1

Match the physical quantities in List I with their correct dimensional formulas in List II:

List IList II
(A) Spring constant(1) $M^1L^2T^{-2}$
(B) Pascal (unit of pressure)(2) $M^0L^0T^{-1}$
(C) Hertz (unit of frequency)(3) $M^1L^0T^{-2}$
(D) Joule (unit of energy)(4) $M^1L^{-1}T^{-2}$

Choose the correct matching:

  • A-3, B-4, C-2, D-1
  • A-4, B-3, C-1, D-2
  • A-4, B-3, C-2, D-1✔️
  • A-3, B-4, C-1, D-2
Correct Answer Explanation
  • Spring constant $k$: $F = kx \Rightarrow [k] = \frac{[F]}{[x]} = \frac{MLT^{-2}}{L} = MT^{-2} = M^1L^0T^{-2}$ → (3)
  • Pascal (pressure): $[P] = \frac{Force}{Area} = \frac{MLT^{-2}}{L^2} = ML^{-1}T^{-2} = M^1L^{-1}T^{-2}$ → (4)
  • Hertz (frequency): $[f] = T^{-1} = M^0L^0T^{-1}$ → (2)
  • Joule (energy): $[E] = ML^2T^{-2} = M^1L^2T^{-2}$ → (1)

Correct match: A-3, B-4, C-2, D-1