Question

Let (r, \(\theta\)) denote the polar coordinates of a particle moving in a plane. If \(\hat{r}\) and \(\hat{\theta}\) represent the corresponding unit vectors, then

• A. \(\frac{d\hat{r}}{d\theta}=\hat{\theta}\)
• B. \(\frac{d\hat{r}}{dr}=-\hat{\theta}\)
• C. \(\frac{d\hat{\theta}}{d\theta}=-\hat{r}\)
• D. \(\frac{d\hat{\theta}}{dr}=\hat{r}\)

Answer 1

The Correct Option is A, C

The correct option is (A): \(\frac{d\hat{r}}{d\theta}=\hat{\theta}\) and (C): \(\frac{d\hat{\theta}}{d\theta}=-\hat{r}\)