CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Assertion :The dimensional formula of surface energy is $$[M^1L^2T^{-2}]$$ Reason: Surface energy has same dimensions as that of potential energy


A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
loader
B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
loader
C
Assertion is correct but Reason is incorrect
loader
D
Both Assertion and Reason are incorrect
loader

Solution

The correct option is D Both Assertion and Reason are incorrect

Surface energy is the energy per unit area of the surface.

Thus $$S.E. = \dfrac{Energy}{Area}\\$$

i.e. $$S.E. = \dfrac{Work done}{Area}$$

So, dimensional formula is:

i.e. $$ S.E. = \dfrac{[ML^{2}T^{-2}]}{[L^{2}]} \\$$

$$S.E. = [ML^{0}T^{-2}]\\$$

Also, Potential energy,

$$P.E. = m \times g \times h$$

Its dimensional formula is:

$$P.E. = [M^{1}][L^{1} T^{-2}][L^{1}]\\$$

$$P.E. = [M^{1}L^{2}T^{-2}]$$

It is clear that dimensional formula for surface energy given in assertions incorrect. Also, it is not matching with dimensional formula of potential energy.

Hence both assertion and reason are incorrect.

‘Thus option D is correct.  


Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More



footer-image