Match the following equations with their corresponding physical quantities: ( Column I Column II (A) x(t) = A ( ω t) (P) Displacement as a function of time (B) v(t) = A ω (ω t) (Q) Velocity as a function of time (C)

Question

Quantrex Academy · Accepted Answer

Correct answer: A. A-P, B-Q, C-R, D-S

- (A) (x(t)=A ( ω t)) is the displacement equation → matches with (P). (B) (v(t)=A ω (ω t)) is the velocity equation → matches with (( Q) ). (C) (a(t)=-A ω^ 2 ( ω t)) is the acceleration equation → matches with (R). (D) (E= (1)/(2) m A² ω^ 2) represents the total energy → matches with (S).

Match the following equations with their corresponding physical...

Options

Correct answer

Step-by-step solution

More from Oscillations

	Column I		Column II
(A)	x(t) = A \sin ( $\omega$ t)	(P)	Displacement as a function of time
(B)	v(t) = A $\omega \cos (\omega$ t)	(Q)	Velocity as a function of time
(C)	a(t) = -A $\omega^$ 2 \sin ( $\omega$ t)	(R)	Acceleration as a function of time
(D)	E = $\frac{1}{2}$ m A² $\omega^$ 2	(S)	Total energy in SHM