Question

The stretch in a steel rod of circular section, having a length 'l' subjected to a tensile load' P' and tapering uniformly from a diameter $d_1$ at one end to adiameter $d_2$ at the other end, is _____

• A. proportional to P.
• B. inversly proportional to product of end circular diameters.
• C. inversly proportional to youngs modulus of steel.
• D. all of the above

Answer 1

Answer: (A), (B)

The correct options are
A proportional to P.
B inversly proportional to product of end circular diameters.

From Hook's law we know,

$strain\propto stress$

$\therefore strain=K\times stress[K=$Constant$]$

$K\times \frac{Force}{Area}$

$\therefore$ Here, $stretch=L\times \frac{p}{d_1{d}_2}$