Home
Class 11
PHYSICS
A transverse wave is described by equati...

A transverse wave is described by equation ` y =y_0 sin 2pi (ft -(x)/( lambda) ) `.The maximum particle velocity is equal to 4 times wave velocity if

A

`lambda=(piY_(0))/(4)`

B

`lambda=(piY_(0))/(2)`

C

`lambda=piY_(0)`

D

`lambda=2piY_(0)`

Text Solution

Verified by Experts

The correct Answer is:
B
`Y=Y_(0)sin2pi(ft-(x)/(lambda))`
Maximum particle velocity `(v_(max))_(p)`
`=Aomega=A2pif=2Y_(0)pif`
wave velocity `(v)=(omega)/(k)=(2pif)/(2pi//lambda)=flambda`
given, `(v_(max))_(P)=4v`
`implies2Y_(0)pif=4flambdaimplieslambda=(Y_(0)pi)/(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A transverse wave is described by the equation y=A sin 2pi( nt- x//lambda_0) . The maximum particle velocity is equal to 3 times the wave velocity if

A transverse wave is described by the equation y= A sin 2 pi (vt - x/lambda) . The maximum particle velocity is equal to four times the wave velocity if

A transverse wave is derscried by the equation y=y_(0) sin 2 pi (ft - (x)/(lamda)) . The maximum particle velocity is equal to four times the wave velocity if :-

A travelling wave is described by the equation y = y_(0) sin ((ft - (x)/lambda)) . The maximum particle velocity is equal to four times the wave velocity if

A transverse wave is described by the equation y=y_(0)sin4pi(upsilont-(x)/(lambda)) . The maximum particle velocity is equal to four times the wave velocity if

A transverse wave is described by the equation y=A sin [2pi(ft-x//lambda)] . The maximum particle velocity is equal the wave velocity if :

Transverse wave is described by the equation y=y_0 sin 2pi (ft-x/lambda) .The maximum particle velocity is twice the wave velocity if wavelength is____

A transverse wave is given by y=A sin 2 pi ((t)/(T)-(x)/(lambda)) . The maximum particle velocity is equal to 4 times the wave velocity when

A simple harmonic wave is represent by the relation y(x,t)=a_(0) sin 2pi(vt-(x)/(lambda)) if the maximum particle velocity is three times the wave velocity, the wavelength lambda of the wave is