Y = MgL/πr^2 , where Y = Young's modulus, M = mass, g = acceleration due to gravity, L = initial length, r= radius and L = increase in length. check the corrections
Answers
Answered by
0
Answer:
Young's modulus Y= stress/strain. Stress =Force/area and strain =increase in length/ original length So strain is dimensionless. Thus, Y will have dimension equal to stress.
The dimension of LHS =[Y]=[ML
−1
T
−2
] and
The dimension of RHS =
[L
2
][L]
[M][LT
−2
][L]
(π is a dimensionless quantity)
=[ML
−1
T
−2
]
As the dimension of LHS is same as the dimension of RHS so the given equation is dimensionally correct.
Similar questions