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NEET PHYSICSEasy

Joule-second is the unit of:

A

Work

B

Momentum

C

Pressure

D

Angular momentum

Step-by-Step Solution

To determine the physical quantity corresponding to the unit Joule-second (JsJ \cdot s), we analyze the dimensions:

  1. Joule (J): SI unit of Work or Energy. Dimensional formula is [ML2T2][ML^2T^{-2}] .
  2. Second (s): SI unit of Time. Dimensional formula is [T][T].
  3. Joule-second (JsJ \cdot s): Multiply the dimensions: [ML2T2]×[T]=[ML2T1][ML^2T^{-2}] \times [T] = [ML^2T^{-1}].
  4. Compare with Options:
  • Work: [ML2T2][ML^2T^{-2}] (Unit: J). Mismatch.
  • Momentum (Linear): [MLT1][MLT^{-1}] (Unit: kgms1kg \cdot m \cdot s^{-1} or NsN \cdot s). Mismatch.
  • Pressure: [ML1T2][ML^{-1}T^{-2}] (Unit: PaPa or Nm2N \cdot m^{-2}). Mismatch.
  • Angular Momentum: Formula is moment of momentum (r×pr \times p). Dimensions are [L]×[MLT1]=[ML2T1][L] \times [MLT^{-1}] = [ML^2T^{-1}]. This matches the dimensions of JsJ \cdot s.
  • Note: The unit JsJ \cdot s is also the unit of Planck's constant (hh), which has the same dimensions as angular momentum .
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