Q. 1. The given graph shows the displacement versus time relation for ...
Given Information:
- The graph shows the displacement versus time relation for a velocity of 1500 m/s.
Calculation:
To calculate the wavelength of the disturbance, we can use the formula:
Wavelength (λ) = Velocity (v) / Frequency (f)
Step 1: Determine the Frequency:
In order to calculate the wavelength, we first need to determine the frequency. The frequency can be obtained by finding the reciprocal of the time period.
Frequency (f) = 1 / Time Period (T)
Step 2: Determine the Time Period:
To determine the time period, we need to find the distance between two consecutive crests or troughs on the graph. This distance represents one complete cycle of the disturbance.
Step 3: Determine the Distance:
From the graph, measure the distance between two consecutive crests or troughs. This distance represents one complete cycle of the disturbance.
Step 4: Calculate the Time Period:
To calculate the time period, divide the distance between two consecutive crests or troughs by the velocity.
Time Period (T) = Distance / Velocity
Step 5: Calculate the Frequency:
Now that we have the time period, we can calculate the frequency by taking the reciprocal of the time period.
Frequency (f) = 1 / Time Period (T)
Step 6: Calculate the Wavelength:
Finally, we can calculate the wavelength by dividing the velocity by the frequency.
Wavelength (λ) = Velocity (v) / Frequency (f)
Explanation:
The given graph represents the displacement versus time relation for a velocity of 1500 m/s. Displacement is the distance of an object from its equilibrium position at a given time. The graph shows the oscillatory motion of the disturbance.
To determine the wavelength of the disturbance, we need to find the distance between two consecutive crests or troughs on the graph. This distance represents one complete cycle of the disturbance. By measuring this distance and dividing it by the velocity, we can calculate the time period. The time period is the time taken for one complete cycle of the disturbance.
Next, we calculate the frequency by taking the reciprocal of the time period. Frequency is the number of cycles or oscillations per unit time. Once we have the frequency, we can calculate the wavelength by dividing the velocity by the frequency.
The wavelength represents the distance between two consecutive crests or troughs in the disturbance. It is a measure of the spatial extent of one complete cycle of the disturbance.
In conclusion, by analyzing the given graph and following the steps mentioned above, we can calculate the wavelength of the disturbance based on the displacement versus time relation for a velocity of 1500 m/s.
Q. 1. The given graph shows the displacement versus time relation for ...
Where is the graph... xd 😅😅
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