Physics Elasticity Question 44

Question: The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of$ 30{}^\circ $ . Then angle of shear is

[NCERT 1990; MP PMT 1996]

Options:

A) $ 12{}^\circ $

B) $ 0.12{}^\circ $

C) $ 1.2{}^\circ $

D) $ 0.012{}^\circ $

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Answer:

Correct Answer: B

Solution:

Angle of shear$ \varphi =\frac{r\theta }{L} $

$ =\frac{4\times {{10}^{-1}}}{100}\times 30^{o}={{0.12}^{o}} $