- 1(current)
Q. No.| 1. | \(v\) | 2. | \(\Large\frac{v}{2}\) |
| 3. | \(\Large\frac{v}{\pi}\) | 4. | \(\Large\frac{2v}{\pi}\) |
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Consider a square carrom board \(ABCD\) of size \({3~ \text{ft}} \times 3~\text{ft}. \) A piece moves 'from' pocket \(A\) (close from a pocket), strikes side \(BC\) and then side \(AD\), and reaches pocket \(C\). If the piece is reflected perfectly from each side, then the ratio of the \(x,y\) components of velocity is given by \(\dfrac{v_x}{v_y}=\)
| 1. | \(2\) | 2. | \(\dfrac{1}{2}\) |
| 3. | \(3\) | 4. | \(\dfrac{1}{3}\) |
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The average velocity of the ball is:
| 1. | \(\dfrac{1}{2}\left(\hat i+\hat j\right)~\text{m/s}\) | 2. | \(2\left(\hat i+\hat j\right)~\text{m/s}\) |
| 3. | \(\sqrt2\left(\hat i+\hat j\right)~\text{m/s}\) | 4. | \(\dfrac{1}{\sqrt2}\left(\hat i+\hat j\right)~\text{m/s}\) |
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The initial velocity of the ball is:
| 1. | \(\dfrac{1}{2}\left(\hat i+\hat j\right)~\text{m/s}\) | 2. | \(\dfrac{1}{2}\left(\hat i+3\hat j\right)~\text{m/s}\) |
| 3. | \(\dfrac{1}{2}\left(\hat i+5\hat j\right)~\text{m/s}\) | 4. | \(\dfrac{1}{2}\left(\hat i+6\hat j\right)~\text{m/s}\) |
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The average speed of the ball is (during the motion):
| 1. | \(\dfrac{1}{\sqrt2}~\text{m/s}\) | 2. | \(\dfrac{\sqrt{26}}{2}~\text{m/s}\) |
| 3. | \(\dfrac{\sqrt{10}}{2}~\text{m/s}\) | 4. | \(\sqrt2~\text{m/s}\) |
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- 1(current)
Q. No.
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