Two wires of same diameter of the same material having the length $ell$ and 2 $ell$ If the force is applied on each, what will be the ratio of the work done in the two wires?

$Lt subscript x not stretchy rightwards arrow 0 end subscript space fraction numerator cube root of 1 plus x end root minus cube root of 1 minus x end root over denominator x end fraction equals$

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or $fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.$

$Lt subscript x not stretchy rightwards arrow 0 end subscript space fraction numerator cube root of 1 plus x end root minus cube root of 1 minus x end root over denominator x end fraction equals$

$text If end text f left parenthesis x right parenthesis equals negative square root of 25 minus x squared end root comma text then end text L t subscript x not stretchy rightwards arrow 1 end subscript fraction numerator f left parenthesis x right parenthesis minus f left parenthesis 1 right parenthesis over denominator x minus 1 end fraction equals$

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means $0 over 0 space o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.$

$text If end text f left parenthesis x right parenthesis equals negative square root of 25 minus x squared end root comma text then end text L t subscript x not stretchy rightwards arrow 1 end subscript fraction numerator f left parenthesis x right parenthesis minus f left parenthesis 1 right parenthesis over denominator x minus 1 end fraction equals$

The graph shown was obtained from experimental measurements of the period of oscillations T for different masses M placed in the scale pan on the lower end of the passing through the origin is that the,....

$L t subscript x not stretchy rightwards arrow 2 end subscript open parentheses fraction numerator square root of 1 minus cos space 2 to the power of blank left parenthesis x minus 2 right parenthesis end root over denominator x minus 2 end fraction close parentheses$

What is the possible value of poison’s ratio?

What is the relationship between Young's modulus Y, Bulk modulus k and modulus of rigidity $eta$ ?

The area of the parallelogram whose adjacent sides are $a with minus on top text and end text stack b with not stretchy bar on top with blank on top$ is $2 square root of 10$ sq. units. If $stack a with minus on top equals 3 stack i with minus on top plus 2 stack j with minus on top plus stack k with minus on top$ then $stack b with minus on top equals$

Shearing stress causes change in

A $2 m$ long rod of radius $1 c m$ which is fixed from one end is given a twist of $0.8$ radian. The shear strain developed will be

Mark the wrong statement.

The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of 30° Then what is the angle of shear?

The pairs $a with bar on top comma b with bar on top text and end text stack c with not stretchy bar on top comma d with space bar on top with blank on top$ each determines a plane. Then the planes are parallel if

Cross product of two vectors is equal to the product of their magnitudes and sin of the angle between them. When two vectors are parallel, the angle between them is zero resulting their dot product as zero.

The pairs $a with bar on top comma b with bar on top text and end text stack c with not stretchy bar on top comma d with space bar on top with blank on top$ each determines a plane. Then the planes are parallel if

The lower surface of a cube is fixed. On its upper surface is applied at an angle 30º of from its surface. What will be the change of the type?

For a given material the Young's modulus is 2.4 times that of rigidity modulus. What is its poisons ratio?