Which one of the following statements is true?
1. | Both light and sound waves in the air are transverse. |
2. | The sound waves in the air are longitudinal while the light waves are transverse. |
3. | Both light and sound waves in the air are longitudinal. |
4. | Both light and sound waves can travel in a vacuum. |
1. | \({y}=0.2 \sin \left[2 \pi\left(6{t}+\frac{x}{60}\right)\right]\) |
2. | \({y}=0.2 \sin \left[ \pi\left(6{t}+\frac{x}{60}\right)\right]\) |
3. | \({y}=0.2 \sin \left[2 \pi\left(6{t}-\frac{x}{60}\right)\right]\) |
4. | \(y=0.2 \sin \left[ \pi\left(6{t}-\frac{x}{60}\right)\right]\) |
1. | the pulse is traveling along the negative \(x\text-\)axis. |
2. | the speed of the pulse is \(4\) m/s. |
3. | the amplitude of the pulse is \(5\) m. |
4. | all of these. |
1. | \(1:1\) | 2. | \(5:2\) |
3. | \(3:2\) | 4. | \(4:5\) |
1. | \(-\text{ve}~x\) direction with frequency \(1\) Hz. |
2. | \(+\text{ve}~x\) direction with frequency \(\pi\) Hz and wavelength \(\lambda = 0.2~\text{m}\). |
3. | \(+\text{ve}~x\) direction with frequency \(1\) Hz and wavelength \(\lambda = 0.2~\text{m}\). |
4. | \(-\text{ve}~x\) direction with amplitude \(0.25\) m and wavelength \(\lambda = 0.2~\text{m}\). |
The phase difference between two waves, represented by
\(y_1= 10^{-6}\sin \left\{100t+\left(\frac{x}{50}\right) +0.5\right\}~\text{m}\)
\(y_2= 10^{-6}\cos \left\{100t+\left(\frac{x}{50}\right) \right\}~\text{m}\)
where \(x\) is expressed in metres and \(t\) is expressed in seconds, is approximate:
1. \(2.07\) radians
2. \(0.5\) radians
3. \(1.5\) radians
4. \(1.07\) radians
1. | Wave \(1\) has the highest wave speed as well as the maximum transverse string speed. |
2. | Wave \(2\) has the highest wave speed, while Wave \(1\) has the maximum transverse string speed. |
3. | Wave \(3\) has the highest wave speed as well as the maximum transverse string speed. |
4. | Wave \(2\) has the highest wave speed, while Wave \(3\) has the maximum transverse string speed. |