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Torque,ζ=(∏n[r][/4]∅)/2l where r is the radius of the rod,l is length,n is the rigidity modulus,∅is the angle of twist.

Applying given values in equation

=>n=4.1*10 raised to 10 N/m square

But the answer provided by this question is 8.3*10 raised to 10 N/m square.

Similarly another problem using same equation

Two cylinders P and Q of radii in the ratio 1:2 are soldered co axially. The free end of P is clamped and the free end of B is twisted by an angle of 17 degree. Determine the twist at the junction,if the cylinders are of the same length and made of the same material?

The answer I got is 17*16,i.e twist=272 degree.

But here also answer provided is wrong from my point of view.It is given only 16 degree.

If I have made any mistake,kindly correct me with explanation.