A travelling wave in a string is represented by y=3 sin ((π/2) t-(π/4) x) . The phase difference between two particles separated by a distance 4 cm is (Take x and y in cm and t in seconds)

Question

A travelling wave in a string is represented by y=3 sin ((π/2) t-(π/4) x) . The phase difference between two particles separated by a distance 4 cm is (Take x and y in cm and t in seconds) (A) (π/2) rad (B) (π/4) rad (C) π rad (D) 0

Tardigrade Admin · Accepted Answer

y=3 sin ((π/2) t-(π/4) x) Take x =0 and x =4 cm y1=3 sin (π/2) t text and y2=3 sin (π/2) t-π Phase difference in between the two particles is π.

Q. A travelling wave in a string is represented by $y = 3 sin (\frac{π}{2} t - \frac{π}{4} x) .$ The phase difference between two particles separated by a distance $4 c m$ is (Take $x$ and $y$ in $c m$ and $t$ in seconds)

$\frac{π}{2} r a d$

$\frac{π}{4} r a d$

$π r a d$

0

$y = 3 sin (\frac{π}{2} t - \frac{π}{4} x)$
Take $x = 0$ and $x = 4 c m$
$y_{1} = 3 sin \frac{π}{2} t and y_{2} = 3 sin \frac{π}{2} t - π$
Phase difference in between the two particles is $π$ .

Q. A travelling wave in a string is represented by y=3sin(2π​t−4π​x). The phase difference between two particles separated by a distance 4cm is (Take x and y in cm and t in seconds)

2π​rad

4π​rad

πrad

0

y=3sin(2π​t−4π​x) Take x=0 and x=4cm y1​=3sin2π​t and y2​=3sin2π​t−π Phase difference in between the two particles is π.

Q. A travelling wave in a string is represented by $y = 3 sin (\frac{π}{2} t - \frac{π}{4} x) .$ The phase difference between two particles separated by a distance $4 c m$ is (Take $x$ and $y$ in $c m$ and $t$ in seconds)

$\frac{π}{2} r a d$

$\frac{π}{4} r a d$

$π r a d$

$y = 3 sin (\frac{π}{2} t - \frac{π}{4} x)$
Take $x = 0$ and $x = 4 c m$
$y_{1} = 3 sin \frac{π}{2} t and y_{2} = 3 sin \frac{π}{2} t - π$
Phase difference in between the two particles is $π$ .