The dimension of elastic constant is
(A) [M¹L²T⁻²] (B) [M¹L⁻¹T⁻²]
(C) [M⁻¹L²T⁻²] (D) [M⁻¹L⁻¹T⁻¹]
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it's answer is B.
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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
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