By the method of dimensions, test the accuracy of the equation : `delta = (mgl^3)/(4bd^3Y)` where `delta` is depression in the middle of a bar of length I, breadth b, depth d, when it is loaded in the middle with mass m. Y is Young's modulus of material of the bar.

Let a steel bar of length l, breadth b and depth d be laoded at the centre by a load W. Then the sag of bending of beam is (Y = young's modulus of material of steel)

Let a steel bar of length 'l', breadth 'b' and depth 'd' be loaded at the centre by a load 'W'. Then the sag of bending of beam is (Y = Young's modulus of material of steel)

Let a steel bar of length 'l', breadth 'b' and depth 'd' be loaded at the centre by a load 'W'. Then the sag of bending of beam is (Y=Young's modulus of material of steel)

The increase in energy of a metal bar of length L and cross-sectional area A when compressed with a load M along its length is (where, Y= Young's modulus of the material of metal bar)

Find the dimensions of the quantity q from the expression : T = 2pi sqrt((ml^3q)/(5Y)), Where T is tiem period of a bar of length I, mass m and Young's modulus Y.

Check the dimensional correctness of the following equations : (i) T=Ksqrt((pr^3)/(S)) where p is the density, r is the radius and S is the surface tension and K is a dimensionless constant and T is the time period of oscillation. (ii) n=(1)/(2l)sqrt((T)/(m)) , when n is the frequency of vibration, l is the length of the string, T is the tension in the string and m is the mass per unit length. (iii) d=(mgl^3)/(4bd^(3)Y) , where d is the depression produced in the bar, m is the mass of the bar, g is the accelaration due to gravity, l is the length of the bar, b is its breadth and d is its depth and Y is the Young's modulus of the material of the bar.

Find the dimensions of the quantity q from the expression T = 2pi sqrt((ml^3)/(3Yq)), where T is time period of a bar of length l, mass m and Young's modulus Y.

The value fo x in the formula Y = (2mg l^(x))/(5bt^(3)e) where m is the mass, 'g' is acceleration due to gravity, l is length , 'b' is the breath, 't' is the thickness and e is the extension and Y is Young's Modulus is

The sag delta of a centrally loaded rectangular beam supported at its ends depends on the applied load, the material of the beam and its dimensions (length l, breadth band height h ). If Y is Young's modulus of the material of the beam, which of the following is INCORRECT?