A) \[\sigma \]
B) \[\sqrt{2\sigma }\]
C) \[\sqrt{3\sigma }\]
D) \[2\sigma \]
Correct Answer: A
Solution :
\[{{\sigma }_{1}}=\frac{1}{2}({{\sigma }_{x}}+{{\sigma }_{y}})+\frac{1}{2}({{\sigma }_{x}}-{{\sigma }_{y}})\,cos2\theta \] At \[\theta =45{}^\circ \] \[{{\sigma }_{1}}=\frac{1}{2}(\sigma +\sigma )+\frac{1}{2}(\sigma -\sigma )=\sigma \]You need to login to perform this action.
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