The pair of physical quantities not having th | vedclass

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(B) To determine the pair with different dimensions,we analyze each option:$1$. Torque $(		au)$ and Energy $(E)$: Both have dimensions $[ML^2T^{-2}]$

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Surface tension and impulse

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(B) To determine the pair with different dimensions,we analyze each option:$1$. Torque $(		au)$ and Energy $(E)$: Both have dimensions $[ML^2T^{-2}]$.$2$. Surface tension $(\sigma)$ and Impulse $(I)$: Surface tension has dimensions $[MT^{-2}]$,while Impulse has dimensions $[MLT^{-1}]$. These are not the same.$3$. Angular momentum $(L)$ and Planck's constant $(h)$: Both have dimensions $[ML^2T^{-1}]$.$4$. Pressure $(P)$ and Young's modulus $(Y)$: Both have dimensions $[ML^{-1}T^{-2}]$.Therefore,the pair that does not have the same dimensions is Surface tension and Impulse.

List-$I$	List-$II$
$(A)$ Torque	$(I)$ $kg\,m^{-1}\,s^{-2}$
$(B)$ Energy density	$(II)$ $kg\,m\,s^{-1}$
$(C)$ Pressure gradient	$(III)$ $kg\,m^{-2}\,s^{-2}$
$(D)$ Impulse	$(IV)$ $kg\,m^2\,s^{-2}$

The pair of physical quantities not having the same dimensions is:

Similar Questions

The dimensions of pressure are equal to

$A$ steel tape gives correct measurement at $20^{\circ}C$. $A$ piece of wood is being measured with the steel tape at $0^{\circ}C$. The reading is $25 \, cm$ on the tape. The real length of the given piece of wood must be:

Which one has dimensions different from the remaining three?

Match List-$I$ with List-$II$.

List-$I$ List-$II$

$(A)$ Torque $(I)$ $kg\,m^{-1}\,s^{-2}$

$(B)$ Energy density $(II)$ $kg\,m\,s^{-1}$

$(C)$ Pressure gradient $(III)$ $kg\,m^{-2}\,s^{-2}$

$(D)$ Impulse $(IV)$ $kg\,m^2\,s^{-2}$

Choose the correct answer from the options given below:

Which of the following physical quantities do not have the same dimensions?

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