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Match the following equations with their corresponding physical quantities: ( array |l|l| & Column I & & Column II (A) & x(t) = A ( t) & (P) & Displacement as a function of time (B) & v(t) = A ( t) & (Q) & Velocity as a function of time (C) & a(t) = -A ^2 ( t) & (R) & Acceleration as a function of time (D) & E = 1 2 m A^2 ^2 & (S) & Total energy in SHM array )

Options

  1. AA-P, B-Q, C-R, D-S
  2. BA-Q, B-P, C-S, D-R
  3. CA-R, B-S, C-Q, D-P
  4. DA-P, B-R, C-Q, D-S

Correct answer

A. A-P, B-Q, C-R, D-S

Step-by-step solution

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

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