Multiple choice

A torque T is applied at the free end of a stepped rod of circular cross-sections as shown in the figure. The shear modulus of the material of the rod is G. The expression for d to produce an angular twist $\theta$at the free end is

  1. $\Big( \frac{32TL}{\pi \theta G} \Big)^{\frac{1}{4}}$
  2. $\Big( \frac{18TL}{\pi \theta G} \Big)^{\frac{1}{4}}$
  3. $\Big( \frac{16TL}{\pi \theta G} \Big)^{\frac{1}{4}}$
  4. $\Big( \frac{2TL}{\pi \theta G} \Big)^{\frac{1}{4}}$
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B Correct answer
Explanation

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