Question

(Figure 1) is a snapshot graph of a wave at t = 0 s .

y (cm) m/s x (m) 1 1 2 3 4 5 6 7

What is the history graph for this wave at x = 6 m , for t = 0 s to 6 s ?

Option 1)

Option 2)

Option 3)

Option 4)

Answer 1

A graph showing wave displacement versus time at a specific point in space is called a History graph rightarrow A graph showing wave displacement versus position at a specific instant of time is called a snapshot graph rightarrow Since this wave move with constant speed. The pulse move 1 m to the right every second . rightarrow Now it can be seen that nothing is happening at x = 6 m at t = 0 since the wave has not yet reaches there . It is yet 1 m away so it will take, see to reach that point so far 0 to 1 second there will be no wave so it will be zero for t = 0 to t = 2 rightarrow First part of wave is sloping so it will reach at 1 sec . so it will have same slope with increases and then become constant after 2 sec so it will have shape . so 2 > is correct .