Wave and Wave characteristics
WAVES

172245 The equation of a progressive wave is
$y=0.02 \sin 2 \pi\left[\frac{t}{0.01}-\frac{x}{0.30}\right]$
Here $x$ and $y$ are in meter and $t$ is in second. The velocity of propagation of wave is

1 $300 \mathrm{~m} \mathrm{~s}^{-1}$
2 $30 \mathrm{~m} \mathrm{~s}^{-1}$
3 $400 \mathrm{~m} \mathrm{~s}^{-1}$
4 $40 \mathrm{~m} \mathrm{~s}^{-1}$
WAVES

172246 A massless rod is suspended by two identical strings $A B$ and $C D$ of equal length. A block of mass $m$ is suspended from point $O$ such that BO is equal to ' $x$ '. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in $\mathrm{AB}$ is equal to $2 \mathrm{nd}$ harmonic frequency in CD. Then, length of $\mathrm{BO}$ is

1 $\mathrm{L} / 5$
2 $4 \mathrm{~L} / 5$
3 $3 \mathrm{~L} / 4$
4 $\mathrm{L} / 4$
WAVES

172250 An earthquake generates both transverse (S) and longitudinal $(P)$ sound waves in the earth. The speed of $S$ waves is about $4.5 \mathrm{~km} / \mathrm{s}$ and that of $P$ waves about $8.0 \mathrm{~km} / \mathrm{s}$.
A seismograph records $P$ and $S$ waves from an earthquake. The first $P$ wave arrives $4.0 \mathrm{~min}$. before the first $S$ wave. The epicenter of the earthquake is located at a distance of about :

1 $25 \mathrm{~km}$
2 $250 \mathrm{~km}$
3 $2500 \mathrm{~km}$
4 $5000 \mathrm{~km}$
WAVES

172262 The equation of a transverse wave is given by $y$ $=0.05 \sin \pi(2 t-0.02 x)$, where $x, y$ are in metre and $t$ is in second. The minimum distance of separation between two particles which are in phase and the wave velocity are respectively :

1 $50 \mathrm{~m}, 50 \mathrm{~ms}^{-1}$
2 $100 \mathrm{~m}, 100 \mathrm{~ms}^{-1}$
3 $50 \mathrm{~m}, 100 \mathrm{~ms}^{-1}$
4 $100 \mathrm{~m}, 50 \mathrm{~ms}^{-1}$
WAVES

172251 The equation of a travelling wave is $y=60 \mathrm{cos}$ (1800t- 6x) where $y$ is in microns, $t$ in second and $x$ in meter. The ratio of maximum particle velocity to the velocity of wave propagation is :

1 $3.6 \times 10^{-4}$
2 $3.6 \times 10^{-6}$
3 $3.6 \times 10^{-8}$
4 none of these
WAVES

172245 The equation of a progressive wave is
$y=0.02 \sin 2 \pi\left[\frac{t}{0.01}-\frac{x}{0.30}\right]$
Here $x$ and $y$ are in meter and $t$ is in second. The velocity of propagation of wave is

1 $300 \mathrm{~m} \mathrm{~s}^{-1}$
2 $30 \mathrm{~m} \mathrm{~s}^{-1}$
3 $400 \mathrm{~m} \mathrm{~s}^{-1}$
4 $40 \mathrm{~m} \mathrm{~s}^{-1}$
WAVES

172246 A massless rod is suspended by two identical strings $A B$ and $C D$ of equal length. A block of mass $m$ is suspended from point $O$ such that BO is equal to ' $x$ '. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in $\mathrm{AB}$ is equal to $2 \mathrm{nd}$ harmonic frequency in CD. Then, length of $\mathrm{BO}$ is

1 $\mathrm{L} / 5$
2 $4 \mathrm{~L} / 5$
3 $3 \mathrm{~L} / 4$
4 $\mathrm{L} / 4$
WAVES

172250 An earthquake generates both transverse (S) and longitudinal $(P)$ sound waves in the earth. The speed of $S$ waves is about $4.5 \mathrm{~km} / \mathrm{s}$ and that of $P$ waves about $8.0 \mathrm{~km} / \mathrm{s}$.
A seismograph records $P$ and $S$ waves from an earthquake. The first $P$ wave arrives $4.0 \mathrm{~min}$. before the first $S$ wave. The epicenter of the earthquake is located at a distance of about :

1 $25 \mathrm{~km}$
2 $250 \mathrm{~km}$
3 $2500 \mathrm{~km}$
4 $5000 \mathrm{~km}$
WAVES

172262 The equation of a transverse wave is given by $y$ $=0.05 \sin \pi(2 t-0.02 x)$, where $x, y$ are in metre and $t$ is in second. The minimum distance of separation between two particles which are in phase and the wave velocity are respectively :

1 $50 \mathrm{~m}, 50 \mathrm{~ms}^{-1}$
2 $100 \mathrm{~m}, 100 \mathrm{~ms}^{-1}$
3 $50 \mathrm{~m}, 100 \mathrm{~ms}^{-1}$
4 $100 \mathrm{~m}, 50 \mathrm{~ms}^{-1}$
WAVES

172251 The equation of a travelling wave is $y=60 \mathrm{cos}$ (1800t- 6x) where $y$ is in microns, $t$ in second and $x$ in meter. The ratio of maximum particle velocity to the velocity of wave propagation is :

1 $3.6 \times 10^{-4}$
2 $3.6 \times 10^{-6}$
3 $3.6 \times 10^{-8}$
4 none of these
WAVES

172245 The equation of a progressive wave is
$y=0.02 \sin 2 \pi\left[\frac{t}{0.01}-\frac{x}{0.30}\right]$
Here $x$ and $y$ are in meter and $t$ is in second. The velocity of propagation of wave is

1 $300 \mathrm{~m} \mathrm{~s}^{-1}$
2 $30 \mathrm{~m} \mathrm{~s}^{-1}$
3 $400 \mathrm{~m} \mathrm{~s}^{-1}$
4 $40 \mathrm{~m} \mathrm{~s}^{-1}$
WAVES

172246 A massless rod is suspended by two identical strings $A B$ and $C D$ of equal length. A block of mass $m$ is suspended from point $O$ such that BO is equal to ' $x$ '. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in $\mathrm{AB}$ is equal to $2 \mathrm{nd}$ harmonic frequency in CD. Then, length of $\mathrm{BO}$ is

1 $\mathrm{L} / 5$
2 $4 \mathrm{~L} / 5$
3 $3 \mathrm{~L} / 4$
4 $\mathrm{L} / 4$
WAVES

172250 An earthquake generates both transverse (S) and longitudinal $(P)$ sound waves in the earth. The speed of $S$ waves is about $4.5 \mathrm{~km} / \mathrm{s}$ and that of $P$ waves about $8.0 \mathrm{~km} / \mathrm{s}$.
A seismograph records $P$ and $S$ waves from an earthquake. The first $P$ wave arrives $4.0 \mathrm{~min}$. before the first $S$ wave. The epicenter of the earthquake is located at a distance of about :

1 $25 \mathrm{~km}$
2 $250 \mathrm{~km}$
3 $2500 \mathrm{~km}$
4 $5000 \mathrm{~km}$
WAVES

172262 The equation of a transverse wave is given by $y$ $=0.05 \sin \pi(2 t-0.02 x)$, where $x, y$ are in metre and $t$ is in second. The minimum distance of separation between two particles which are in phase and the wave velocity are respectively :

1 $50 \mathrm{~m}, 50 \mathrm{~ms}^{-1}$
2 $100 \mathrm{~m}, 100 \mathrm{~ms}^{-1}$
3 $50 \mathrm{~m}, 100 \mathrm{~ms}^{-1}$
4 $100 \mathrm{~m}, 50 \mathrm{~ms}^{-1}$
WAVES

172251 The equation of a travelling wave is $y=60 \mathrm{cos}$ (1800t- 6x) where $y$ is in microns, $t$ in second and $x$ in meter. The ratio of maximum particle velocity to the velocity of wave propagation is :

1 $3.6 \times 10^{-4}$
2 $3.6 \times 10^{-6}$
3 $3.6 \times 10^{-8}$
4 none of these
WAVES

172245 The equation of a progressive wave is
$y=0.02 \sin 2 \pi\left[\frac{t}{0.01}-\frac{x}{0.30}\right]$
Here $x$ and $y$ are in meter and $t$ is in second. The velocity of propagation of wave is

1 $300 \mathrm{~m} \mathrm{~s}^{-1}$
2 $30 \mathrm{~m} \mathrm{~s}^{-1}$
3 $400 \mathrm{~m} \mathrm{~s}^{-1}$
4 $40 \mathrm{~m} \mathrm{~s}^{-1}$
WAVES

172246 A massless rod is suspended by two identical strings $A B$ and $C D$ of equal length. A block of mass $m$ is suspended from point $O$ such that BO is equal to ' $x$ '. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in $\mathrm{AB}$ is equal to $2 \mathrm{nd}$ harmonic frequency in CD. Then, length of $\mathrm{BO}$ is

1 $\mathrm{L} / 5$
2 $4 \mathrm{~L} / 5$
3 $3 \mathrm{~L} / 4$
4 $\mathrm{L} / 4$
WAVES

172250 An earthquake generates both transverse (S) and longitudinal $(P)$ sound waves in the earth. The speed of $S$ waves is about $4.5 \mathrm{~km} / \mathrm{s}$ and that of $P$ waves about $8.0 \mathrm{~km} / \mathrm{s}$.
A seismograph records $P$ and $S$ waves from an earthquake. The first $P$ wave arrives $4.0 \mathrm{~min}$. before the first $S$ wave. The epicenter of the earthquake is located at a distance of about :

1 $25 \mathrm{~km}$
2 $250 \mathrm{~km}$
3 $2500 \mathrm{~km}$
4 $5000 \mathrm{~km}$
WAVES

172262 The equation of a transverse wave is given by $y$ $=0.05 \sin \pi(2 t-0.02 x)$, where $x, y$ are in metre and $t$ is in second. The minimum distance of separation between two particles which are in phase and the wave velocity are respectively :

1 $50 \mathrm{~m}, 50 \mathrm{~ms}^{-1}$
2 $100 \mathrm{~m}, 100 \mathrm{~ms}^{-1}$
3 $50 \mathrm{~m}, 100 \mathrm{~ms}^{-1}$
4 $100 \mathrm{~m}, 50 \mathrm{~ms}^{-1}$
WAVES

172251 The equation of a travelling wave is $y=60 \mathrm{cos}$ (1800t- 6x) where $y$ is in microns, $t$ in second and $x$ in meter. The ratio of maximum particle velocity to the velocity of wave propagation is :

1 $3.6 \times 10^{-4}$
2 $3.6 \times 10^{-6}$
3 $3.6 \times 10^{-8}$
4 none of these
WAVES

172245 The equation of a progressive wave is
$y=0.02 \sin 2 \pi\left[\frac{t}{0.01}-\frac{x}{0.30}\right]$
Here $x$ and $y$ are in meter and $t$ is in second. The velocity of propagation of wave is

1 $300 \mathrm{~m} \mathrm{~s}^{-1}$
2 $30 \mathrm{~m} \mathrm{~s}^{-1}$
3 $400 \mathrm{~m} \mathrm{~s}^{-1}$
4 $40 \mathrm{~m} \mathrm{~s}^{-1}$
WAVES

172246 A massless rod is suspended by two identical strings $A B$ and $C D$ of equal length. A block of mass $m$ is suspended from point $O$ such that BO is equal to ' $x$ '. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in $\mathrm{AB}$ is equal to $2 \mathrm{nd}$ harmonic frequency in CD. Then, length of $\mathrm{BO}$ is

1 $\mathrm{L} / 5$
2 $4 \mathrm{~L} / 5$
3 $3 \mathrm{~L} / 4$
4 $\mathrm{L} / 4$
WAVES

172250 An earthquake generates both transverse (S) and longitudinal $(P)$ sound waves in the earth. The speed of $S$ waves is about $4.5 \mathrm{~km} / \mathrm{s}$ and that of $P$ waves about $8.0 \mathrm{~km} / \mathrm{s}$.
A seismograph records $P$ and $S$ waves from an earthquake. The first $P$ wave arrives $4.0 \mathrm{~min}$. before the first $S$ wave. The epicenter of the earthquake is located at a distance of about :

1 $25 \mathrm{~km}$
2 $250 \mathrm{~km}$
3 $2500 \mathrm{~km}$
4 $5000 \mathrm{~km}$
WAVES

172262 The equation of a transverse wave is given by $y$ $=0.05 \sin \pi(2 t-0.02 x)$, where $x, y$ are in metre and $t$ is in second. The minimum distance of separation between two particles which are in phase and the wave velocity are respectively :

1 $50 \mathrm{~m}, 50 \mathrm{~ms}^{-1}$
2 $100 \mathrm{~m}, 100 \mathrm{~ms}^{-1}$
3 $50 \mathrm{~m}, 100 \mathrm{~ms}^{-1}$
4 $100 \mathrm{~m}, 50 \mathrm{~ms}^{-1}$
WAVES

172251 The equation of a travelling wave is $y=60 \mathrm{cos}$ (1800t- 6x) where $y$ is in microns, $t$ in second and $x$ in meter. The ratio of maximum particle velocity to the velocity of wave propagation is :

1 $3.6 \times 10^{-4}$
2 $3.6 \times 10^{-6}$
3 $3.6 \times 10^{-8}$
4 none of these