MCQ
Which pair do not have equal dimensions?
  • Force and impulse
  • B
    Angular momentum and Planck constant
  • C
    Energy and torque
  • D
    Elastic modulus and pressure.

Answer

Correct option: A.
Force and impulse
a
$\text { For (A): }\text { Energy }= kg \cdot m ^2 \cdot s ^2=\left[ ML ^2 T ^{-2}\right]$

$\text { Torque }= kg \cdot m ^2 \cdot s ^2=\left[ ML ^2 T ^{-2}\right]$

$\text { For (B) : }\text { Force }= kg \times m / s ^2=\left[ MLT ^{-2}\right]$

$\text { Impulse }= kgm / s =\left[ MLT ^{-1}\right]$

$\text { For (C) : }\text { Angular momentum }= kgm ^2 / s =\left[ ML ^2 T ^{-1}\right]$

$\text { Planck's constant }= kgm ^2 / s =\left[ ML ^2 T ^{-1}\right]$

$\text { For (D) : }\text { Elastic modulus }= kg / m ^2=\left[ ML ^{-2}\right]$

$\text { Pressure }= kg / m ^2=\left[ ML ^{-2}\right]$

From the above data, only Force and Impulse does not have equal dimensions.

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