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Choose the wrong statement:...

Choose the wrong statement:

A

Speed of sound is much less than speed of light

B

Sound travels about 330 metres in one second

C

Light travels faster in vacuum than in air

D

Wavelength of light is longer than the wavelength of sound

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question of identifying the wrong statement among the given options, we will analyze each statement step by step. ### Step-by-Step Solution: 1. **Statement 1: Speed of sound is much less than speed of light.** - The speed of sound is approximately 340 m/s, while the speed of light is approximately \(3 \times 10^8\) m/s. - Since 340 m/s is indeed much less than \(3 \times 10^8\) m/s, this statement is **correct**. 2. **Statement 2: Sound travels about 330 meters in one second.** - The speed of sound is around 330 m/s, which means it travels approximately 330 meters in one second. - Therefore, this statement is also **correct**. 3. **Statement 3: Light travels faster in vacuum than in air.** - The speed of light in a vacuum is the maximum speed at which light can travel, and it is faster than in any medium, including air. - Thus, this statement is **correct**. 4. **Statement 4: Wavelength of light is longer than the wavelength of sound.** - The wavelength of light is in the range of 400 nm to 700 nm (which is \(400 \times 10^{-9}\) m to \(700 \times 10^{-9}\) m). - For sound, using the formula \( \lambda = \frac{v}{f} \), where \(v\) is the speed of sound (approximately 330 m/s) and \(f\) is the frequency (20 Hz to 20 kHz), we can calculate the wavelength of sound. - For example, at 20 Hz, the wavelength would be \( \lambda = \frac{330 \text{ m/s}}{20 \text{ Hz}} = 16.5 \text{ m}\). - This shows that the wavelength of sound can be much longer than that of light. - Therefore, this statement is **incorrect**. ### Conclusion: The wrong statement is: **Wavelength of light is longer than the wavelength of sound.** ---

To solve the question of identifying the wrong statement among the given options, we will analyze each statement step by step. ### Step-by-Step Solution: 1. **Statement 1: Speed of sound is much less than speed of light.** - The speed of sound is approximately 340 m/s, while the speed of light is approximately \(3 \times 10^8\) m/s. - Since 340 m/s is indeed much less than \(3 \times 10^8\) m/s, this statement is **correct**. ...
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