A) \[{{a}_{r}}=\]and \[{{a}_{t}}=0\]
B) \[{{a}_{r}}=0\,\]but \[{{a}_{t}}\ne 0\,\]
C) \[{{a}_{r}}\ne 0\,\] but\[{{a}_{t}}=0\,\]
D) \[{{a}_{r}}\ne 0\,\]
Correct Answer: C
Solution :
(i) If\[{{a}_{r}}=0\]and\[{{a}_{t}}=0,\]then motion is uniform translator. (ii) If\[{{a}_{r}}=0\]but\[{{a}_{t}}\ne 0,\]then motion is accelerated translatory. (iii) If\[{{a}_{r}}\ne 0\]but\[{{a}_{t}}\ne 0\]then motion is uniform circular. (iv) If\[{{a}_{r}}\ne 0\]and\[{{a}_{t}}\ne 0,\]then motion is a non-uniform circular.
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