A wave pulse is generated in a string that lies along x -axis. At the points A and B, as shown in the figure, if RA and RB are the ratio of wave speed to the particle speed respectively then:

Question

A wave pulse is generated in a string that lies along x -axis. At the points A and B, as shown in the figure, if RA and RB are the ratio of wave speed to the particle speed respectively then: <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-1jrkrud2u3oq.png" /> (A) RA>RB (B) RB>RA (C) RA=RB (D) Information is not sufficient to decide.

Tardigrade Admin · Accepted Answer

V textp=-(V)( textslope) ⇒ (Vp/V)=- (slope) =(1/R) ⇒ (RB/RA)=(( text slope ) mathrmA/( text slope ) mathrmB) as we can see ( text slope ) mathrmA>( text slope ) mathrmB ⇒ R textB>R textA

Q. A wave pulse is generated in a string that lies along $x$ -axis. At the points $A$ and B, as shown in the figure, if $R_{A}$ and $R_{B}$ are the ratio of wave speed to the particle speed respectively then :

$R_{A} > R_{B}$

$R_{B} > R_{A}$

$R_{A} = R_{B}$

Information is not sufficient to decide.

$V_{p} = - (V) (slope)$
$\Rightarrow \frac{V _{p}}{V} = -$ (slope) $= \frac{1}{R}$
$\Rightarrow \frac{R _{B}}{R _{A}} = \frac{( slope ) _{A}}{( slope ) _{B}}$
as we can see
$(slope)_{A} > (slope)_{B}$
$\Rightarrow R_{B} > R_{A}$

Q. A wave pulse is generated in a string that lies along x -axis. At the points A and B, as shown in the figure, if RA​ and RB​ are the ratio of wave speed to the particle speed respectively then :

RA​>RB​

RB​>RA​

RA​=RB​