Question

$\text{Laplace transform of double differentiation unit impulse signal is}$

• A. $s$
• B. $s^2$
• C. $\frac{1}{s^2}$
• D. $1$

Answer 1

The correct option is B $s^2$

$\text{we know that, unit impulse let x(t),}x\left(t\right)=\delta \left(t\right)\text{for}\delta \left(t\right)\stackrel{L.T}{⟷}1\text{for}\frac{d}{dt}x\left(t\right)\stackrel{L.T}{⟷}sX\left(s\right)\frac{d}{dt}\delta \left(t\right)\stackrel{L.T}{⟷}s\frac{d^2}{d{t}^2}\delta \left(t\right)\stackrel{L.T}{⟷}{s}^2$