A) \[0,\,a\,d\theta \]
B) \[a,\,d\theta ,\,\,0\]
C) 0, 0
D) None of these
Correct Answer: D
Solution :
[d] \[|\Delta \vec{a}|=\,\sqrt{{{a}^{2}}+\,{{a}^{2}}-\,2.a.a.\cos \,(d\,\theta )}\] |
\[=2a\,\,\sin \,\left( \frac{d\theta }{2} \right)\] |
For small angle |
\[\sin \,\frac{d\theta }{2}\,\,\approx \,\,\frac{d\theta }{2}\] |
\[\therefore \] \[|\Delta \vec{a}|\,\,=2a\,\times \,\frac{d\theta }{2}=\,a.d\theta \] |
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