Which one of the following correctly shows the direction of the velocity of the points 1, 2 and 3 on the string
A) \[1\text{ -}\,\to ~2\,\text{-}\,\to 3\,\text{-}\,\to \]
B) \[1\text{ -}\,\to ~2\,\text{-}\leftarrow 3\,\text{-}\,\to \]
C) \[1\text{ -}\downarrow ~2\,\text{-}\downarrow 3\,\text{-}\downarrow \]
D) \[1\text{ -}\downarrow ~2\,\text{-}\uparrow 3\,\text{-}\downarrow \]
Correct Answer: D
Solution :
Particle velocity \[({{v}_{p}})=-\,v\times \]Slope of the graph at that point At point 1 : Slope of the curve is positive, hence particle velocity is negative or downward (¯) At point 2 : Slope negative, hence particle velocity is positive or upwards () At point 3 : Again slope of the curve is positive, hence particle velocity is negative or downward (¯)
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