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y(x,t)=(1.0)/([(ax+bt)^2+(cx+dt)^2+5]) r...

`y(x,t)=(1.0)/([(ax+bt)^2+(cx+dt)^2+5])` represents a moving pulse where x and y are in metres and t in seconds. It has speed of pulse `b//a`. Find the correct option.

A

`bc=ad`

B

`bd=ac`

C

`ab=cd`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
At `t=0`, and `x=0`
`y(0,0)=(1)/(5)=0.20m`
At `t=1.0`,`x=(-b)/(a)`
`y[(-b)/(a),1.0]=(1)/(5)=0.20m`, if `(d)/(c )=(b)/(a)`
So `ad=bc`.
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