Question

The dimension of elastic constant is
(A) [M¹L²T⁻²] (B) [M¹L⁻¹T⁻²]
(C) [M⁻¹L²T⁻²] (D) [M⁻¹L⁻¹T⁻¹]

Answer 1

it's answer is B.
I hope you understand.

Answer 2

Answer:

(B) [M¹L⁻¹T⁻²]

Explanation:

The dimension of elastic constant is

(A) [M¹L²T⁻²]

(B) [M¹L⁻¹T⁻²]

(C) [M⁻¹L²T⁻²]

(D) [M⁻¹L⁻¹T⁻¹]

elastic constant is defined as the ratio of tangential stress to the shearing strain, within the elastic limit.

Stress is = Force /Area = Mass * acceleration / area =  Mass * Distance / (Area * Time² ) = Mass  / (Distance * Time² ) =   [M/LT²]

Strain is Dimension Less as it is change in size

so elastic constant dimension are same as of stress

Hence Elastic constant unit is N/m2 (also called Pascal) and its dimensional formula is [M/LT²].

or ML⁻¹T⁻²

so option B is correct