Characteristics of Progressive Waves
PHXI15:WAVES

354579 The equation of a simple harmonic wave is given by \(y=5 \sin \dfrac{\pi}{2}(100 t-x)\) where \(x\) and \(y\) are in metre and time is in second. The period of the wave in seconds will be

1 0.04
2 0.01
3 1
4 5
PHXI15:WAVES

354580 Two points are located at a distance of \(10\;m\) and \(15\;m\) from the source of oscillation. The period of oscillation is \(0.05\;s\) and the velocity of the wave is \(300\;m/s\). What is the phase difference between the oscillations of two points?

1 \(\dfrac{\pi}{3}\)
2 \(\dfrac{2 \pi}{3}\)
3 \(\pi\)
4 \(\dfrac{\pi}{6}\)
PHXI15:WAVES

354581 The rope shown at an instant in carrying a wave travelling towards right, created by a source vibrating at a frequency \(f\). Consider the following statements
supporting img

I. The speed of the wave is \(4f \times ab\)
II. The wavelength of the wave is \(2ab\)
III. The phase difference between \(b\) and \(e\) is \(\frac{{3\pi }}{2}\)
Which of these statements are correct

1 I and III
2 II only
3 I,II and III
4 III only
PHXI15:WAVES

354582 Equation of a progressive wave is given \(y=0.2 \cos \pi\left(0.04 t+0.02 x-\dfrac{\pi}{6}\right)\). The distance is expressed in cm and time in second. What will be the minimum distance between two particles having the phase difference of \(\pi / 2\) ?

1 \(4\;cm\)
2 \(8\;cm\)
3 \(25\;cm\)
4 \(12.5\;cm\)
PHXI15:WAVES

354583 A wave on a string is travelling and the displacement of particles on it is given by \(x=A \sin (2 t-0.1 x)\). Then the wavelength of the wave is :

1 \(20 \pi\)
2 \(10 \pi\)
3 \(30 \pi\)
4 \(40 \pi\)
PHXI15:WAVES

354579 The equation of a simple harmonic wave is given by \(y=5 \sin \dfrac{\pi}{2}(100 t-x)\) where \(x\) and \(y\) are in metre and time is in second. The period of the wave in seconds will be

1 0.04
2 0.01
3 1
4 5
PHXI15:WAVES

354580 Two points are located at a distance of \(10\;m\) and \(15\;m\) from the source of oscillation. The period of oscillation is \(0.05\;s\) and the velocity of the wave is \(300\;m/s\). What is the phase difference between the oscillations of two points?

1 \(\dfrac{\pi}{3}\)
2 \(\dfrac{2 \pi}{3}\)
3 \(\pi\)
4 \(\dfrac{\pi}{6}\)
PHXI15:WAVES

354581 The rope shown at an instant in carrying a wave travelling towards right, created by a source vibrating at a frequency \(f\). Consider the following statements
supporting img

I. The speed of the wave is \(4f \times ab\)
II. The wavelength of the wave is \(2ab\)
III. The phase difference between \(b\) and \(e\) is \(\frac{{3\pi }}{2}\)
Which of these statements are correct

1 I and III
2 II only
3 I,II and III
4 III only
PHXI15:WAVES

354582 Equation of a progressive wave is given \(y=0.2 \cos \pi\left(0.04 t+0.02 x-\dfrac{\pi}{6}\right)\). The distance is expressed in cm and time in second. What will be the minimum distance between two particles having the phase difference of \(\pi / 2\) ?

1 \(4\;cm\)
2 \(8\;cm\)
3 \(25\;cm\)
4 \(12.5\;cm\)
PHXI15:WAVES

354583 A wave on a string is travelling and the displacement of particles on it is given by \(x=A \sin (2 t-0.1 x)\). Then the wavelength of the wave is :

1 \(20 \pi\)
2 \(10 \pi\)
3 \(30 \pi\)
4 \(40 \pi\)
PHXI15:WAVES

354579 The equation of a simple harmonic wave is given by \(y=5 \sin \dfrac{\pi}{2}(100 t-x)\) where \(x\) and \(y\) are in metre and time is in second. The period of the wave in seconds will be

1 0.04
2 0.01
3 1
4 5
PHXI15:WAVES

354580 Two points are located at a distance of \(10\;m\) and \(15\;m\) from the source of oscillation. The period of oscillation is \(0.05\;s\) and the velocity of the wave is \(300\;m/s\). What is the phase difference between the oscillations of two points?

1 \(\dfrac{\pi}{3}\)
2 \(\dfrac{2 \pi}{3}\)
3 \(\pi\)
4 \(\dfrac{\pi}{6}\)
PHXI15:WAVES

354581 The rope shown at an instant in carrying a wave travelling towards right, created by a source vibrating at a frequency \(f\). Consider the following statements
supporting img

I. The speed of the wave is \(4f \times ab\)
II. The wavelength of the wave is \(2ab\)
III. The phase difference between \(b\) and \(e\) is \(\frac{{3\pi }}{2}\)
Which of these statements are correct

1 I and III
2 II only
3 I,II and III
4 III only
PHXI15:WAVES

354582 Equation of a progressive wave is given \(y=0.2 \cos \pi\left(0.04 t+0.02 x-\dfrac{\pi}{6}\right)\). The distance is expressed in cm and time in second. What will be the minimum distance between two particles having the phase difference of \(\pi / 2\) ?

1 \(4\;cm\)
2 \(8\;cm\)
3 \(25\;cm\)
4 \(12.5\;cm\)
PHXI15:WAVES

354583 A wave on a string is travelling and the displacement of particles on it is given by \(x=A \sin (2 t-0.1 x)\). Then the wavelength of the wave is :

1 \(20 \pi\)
2 \(10 \pi\)
3 \(30 \pi\)
4 \(40 \pi\)
PHXI15:WAVES

354579 The equation of a simple harmonic wave is given by \(y=5 \sin \dfrac{\pi}{2}(100 t-x)\) where \(x\) and \(y\) are in metre and time is in second. The period of the wave in seconds will be

1 0.04
2 0.01
3 1
4 5
PHXI15:WAVES

354580 Two points are located at a distance of \(10\;m\) and \(15\;m\) from the source of oscillation. The period of oscillation is \(0.05\;s\) and the velocity of the wave is \(300\;m/s\). What is the phase difference between the oscillations of two points?

1 \(\dfrac{\pi}{3}\)
2 \(\dfrac{2 \pi}{3}\)
3 \(\pi\)
4 \(\dfrac{\pi}{6}\)
PHXI15:WAVES

354581 The rope shown at an instant in carrying a wave travelling towards right, created by a source vibrating at a frequency \(f\). Consider the following statements
supporting img

I. The speed of the wave is \(4f \times ab\)
II. The wavelength of the wave is \(2ab\)
III. The phase difference between \(b\) and \(e\) is \(\frac{{3\pi }}{2}\)
Which of these statements are correct

1 I and III
2 II only
3 I,II and III
4 III only
PHXI15:WAVES

354582 Equation of a progressive wave is given \(y=0.2 \cos \pi\left(0.04 t+0.02 x-\dfrac{\pi}{6}\right)\). The distance is expressed in cm and time in second. What will be the minimum distance between two particles having the phase difference of \(\pi / 2\) ?

1 \(4\;cm\)
2 \(8\;cm\)
3 \(25\;cm\)
4 \(12.5\;cm\)
PHXI15:WAVES

354583 A wave on a string is travelling and the displacement of particles on it is given by \(x=A \sin (2 t-0.1 x)\). Then the wavelength of the wave is :

1 \(20 \pi\)
2 \(10 \pi\)
3 \(30 \pi\)
4 \(40 \pi\)
PHXI15:WAVES

354579 The equation of a simple harmonic wave is given by \(y=5 \sin \dfrac{\pi}{2}(100 t-x)\) where \(x\) and \(y\) are in metre and time is in second. The period of the wave in seconds will be

1 0.04
2 0.01
3 1
4 5
PHXI15:WAVES

354580 Two points are located at a distance of \(10\;m\) and \(15\;m\) from the source of oscillation. The period of oscillation is \(0.05\;s\) and the velocity of the wave is \(300\;m/s\). What is the phase difference between the oscillations of two points?

1 \(\dfrac{\pi}{3}\)
2 \(\dfrac{2 \pi}{3}\)
3 \(\pi\)
4 \(\dfrac{\pi}{6}\)
PHXI15:WAVES

354581 The rope shown at an instant in carrying a wave travelling towards right, created by a source vibrating at a frequency \(f\). Consider the following statements
supporting img

I. The speed of the wave is \(4f \times ab\)
II. The wavelength of the wave is \(2ab\)
III. The phase difference between \(b\) and \(e\) is \(\frac{{3\pi }}{2}\)
Which of these statements are correct

1 I and III
2 II only
3 I,II and III
4 III only
PHXI15:WAVES

354582 Equation of a progressive wave is given \(y=0.2 \cos \pi\left(0.04 t+0.02 x-\dfrac{\pi}{6}\right)\). The distance is expressed in cm and time in second. What will be the minimum distance between two particles having the phase difference of \(\pi / 2\) ?

1 \(4\;cm\)
2 \(8\;cm\)
3 \(25\;cm\)
4 \(12.5\;cm\)
PHXI15:WAVES

354583 A wave on a string is travelling and the displacement of particles on it is given by \(x=A \sin (2 t-0.1 x)\). Then the wavelength of the wave is :

1 \(20 \pi\)
2 \(10 \pi\)
3 \(30 \pi\)
4 \(40 \pi\)