Question

The wave function of a plus is given by $y=5/(4x+6t{)}^2$, where $x$ and $y$ are in meter and $t$ is in second. The velocity of plus is

• A. $2m/s$
• B. $6m/s$
• C. $1.5m/s$
• D. $3m/s$

Answer 1

The correct option is C $1.5m/s$

Wave function,

$y=\frac{5}{{(4x+6t)}^2}$ Thus,

Let $4x+6t=m$ $y=5m^{-2}$

Thus, $dy/dt=-10/m$ $d,/dt$

differentiate with $dy/dt=-10/m(4dx/dt+6)$

respect to $t$ $4dx/dt+6=0$

$4dx/dt+6=dm/lt$ $dx/dt=-6/4$

The velocity $\Rightarrow$ $1.5$