# Question #95e4b

##### 2 Answers

This is

Simple harmonic motion (I know u know this ),

For simple harmonic motion Equation is written as

k=Force constant,

AS ,

k=

k=

So substitute here get lambda

And ,

frequency=

c is speed of light=

Intensity=[Power]/area

Intensity is inversely proportional to

So,

Intensity=

So,

divide both of them i.e as 45 and ant 90,

Given equation represents a transverse wave with general equation as

#y(x,t)=Asin ((2pi)/lambda)(x-vt)# .......(1)

where#A# is maximum amplitude,#lambda# is wavelength and#v# wave velocity. Also#-vt# implies velocity in#+x# direction

It also represents Traveling Wave Solution for an ideal string.

it's equivalent form can be written as

#y(x,t)=Asin 2pi(x/lambda-t/T)# ........(2)

where#T# is time period and related to frequency as#f=1/T#

Rewriting given equation in the form as in equation (2) we get

#y(x,t)=5.5sin 2pi(0.010x-2.0t)#

Comparing with (2)

#1/lambda=0.010=>lambda=1/0.010=>lambda=100cm#

#1/T=2.0=>f=2.0Hz#