The figure shows two bodies connected through a riveted joint with one rivet. The diameter of the rivet is d (in m). The joint transmits a load of F (in N) whose line of action is perpendicular to and intersects the vertical axis of the rivet. Neglect any effect of bending of the rivet. If the allowable shear stress for the material of the rivet is τ N/m2, the diameter of the rivet required to prevent failure in shear is

• A. \(\sqrt{\dfrac{F}{\pi\tau}}\)
• B. \(\sqrt{\dfrac{2F}{\pi\tau}}\)
• C. \(\sqrt{\dfrac{4F}{\pi\tau}}\)
• D. \(\sqrt{\dfrac{8F}{\pi\tau}}\)