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A wave of time period 10 ms travels with a velocity of 1.5m/s . If the time period of another wave is 6 ms find its velocity and also find the ratio of their velocities (assume that the wavelength of the two waves is same)?
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A wave of time period 10 ms travels with a velocity of 1.5m/s . If the...
Introduction:
In this problem, we are given the time periods of two waves and we need to find their velocities and the ratio of their velocities. We are also given that the wavelength of the two waves is the same.
Given:
- Time period of the first wave: 10 ms
- Time period of the second wave: 6 ms
- Velocity of the first wave: 1.5 m/s
Calculating the velocity of the second wave:
The velocity of a wave can be calculated using the formula: velocity = frequency * wavelength.
We know that frequency = 1 / time period.
Let's calculate the frequency of the first wave:
Frequency of the first wave = 1 / (10 ms) = 100 Hz
Now, let's calculate the wavelength of the first wave:
Wavelength = velocity / frequency = 1.5 m/s / 100 Hz = 0.015 m
Since the wavelength of the first and second wave is the same, the wavelength of the second wave is also 0.015 m.
Now, let's calculate the frequency of the second wave:
Frequency of the second wave = 1 / (6 ms) = 166.67 Hz
Finally, let's calculate the velocity of the second wave:
Velocity of the second wave = frequency * wavelength = 166.67 Hz * 0.015 m = 2.5 m/s
Calculating the ratio of their velocities:
To find the ratio of the velocities, we can simply divide the velocity of the first wave by the velocity of the second wave.
Ratio of velocities = Velocity of first wave / Velocity of second wave = 1.5 m/s / 2.5 m/s = 0.6
Conclusion:
The velocity of the second wave is 2.5 m/s and the ratio of the velocities of the two waves is 0.6.
In this problem, we are given the time periods of two waves and we need to find their velocities and the ratio of their velocities. We are also given that the wavelength of the two waves is the same.
Given:
- Time period of the first wave: 10 ms
- Time period of the second wave: 6 ms
- Velocity of the first wave: 1.5 m/s
Calculating the velocity of the second wave:
The velocity of a wave can be calculated using the formula: velocity = frequency * wavelength.
We know that frequency = 1 / time period.
Let's calculate the frequency of the first wave:
Frequency of the first wave = 1 / (10 ms) = 100 Hz
Now, let's calculate the wavelength of the first wave:
Wavelength = velocity / frequency = 1.5 m/s / 100 Hz = 0.015 m
Since the wavelength of the first and second wave is the same, the wavelength of the second wave is also 0.015 m.
Now, let's calculate the frequency of the second wave:
Frequency of the second wave = 1 / (6 ms) = 166.67 Hz
Finally, let's calculate the velocity of the second wave:
Velocity of the second wave = frequency * wavelength = 166.67 Hz * 0.015 m = 2.5 m/s
Calculating the ratio of their velocities:
To find the ratio of the velocities, we can simply divide the velocity of the first wave by the velocity of the second wave.
Ratio of velocities = Velocity of first wave / Velocity of second wave = 1.5 m/s / 2.5 m/s = 0.6
Conclusion:
The velocity of the second wave is 2.5 m/s and the ratio of the velocities of the two waves is 0.6.
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A wave of time period 10 ms travels with a velocity of 1.5m/s . If the...
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A wave of time period 10 ms travels with a velocity of 1.5m/s . If the time period of another wave is 6 ms find its velocity and also find the ratio of their velocities (assume that the wavelength of the two waves is same)? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A wave of time period 10 ms travels with a velocity of 1.5m/s . If the time period of another wave is 6 ms find its velocity and also find the ratio of their velocities (assume that the wavelength of the two waves is same)? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wave of time period 10 ms travels with a velocity of 1.5m/s . If the time period of another wave is 6 ms find its velocity and also find the ratio of their velocities (assume that the wavelength of the two waves is same)?.
A wave of time period 10 ms travels with a velocity of 1.5m/s . If the time period of another wave is 6 ms find its velocity and also find the ratio of their velocities (assume that the wavelength of the two waves is same)? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A wave of time period 10 ms travels with a velocity of 1.5m/s . If the time period of another wave is 6 ms find its velocity and also find the ratio of their velocities (assume that the wavelength of the two waves is same)? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wave of time period 10 ms travels with a velocity of 1.5m/s . If the time period of another wave is 6 ms find its velocity and also find the ratio of their velocities (assume that the wavelength of the two waves is same)?.
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