Simple Harmonic Motion 5 Question 13
18. Column I gives a list of possible set of parameters measured in some experiments. The variations of the parameters in the form of graphs are shown in Column II. Match the set of parameters given in Column I with the graphs given in Column II.
$(2008,7$ M)
Column I
Column II
(A) Potential energy of a (p) simple pendulum ( $Y$-axis) as a function of displacement $(X$-axis).
(B) Displacement ( $Y$-axis) as a (q) function of time ( $X$-axis) for a one dimensional motion at zero or constant acceleration when the body is moving along the positive $x$-direction.
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Answer:
Correct Answer: 18. $A \rightarrow p$ or $p, s \quad B \rightarrow q, s$ or $q, r, s \quad C \rightarrow s \quad D \rightarrow q$
Solution:
- (A) Potential energy is minimum at mean position.
(B) For $a=0, s=v t \rightarrow$ option (q) or $s=s _0+v t \rightarrow$ option (r)
For $a=$ constant, $s=u t+\frac{1}{2} a t^{2} \rightarrow$ option (s)
(C) $R=\frac{v^{2} \sin 2 \theta}{g}$
$\therefore R \propto v^{2} \rightarrow$ option (s)
(D) $T=2 \pi \sqrt{\frac{l}{g}}$
$\therefore T^{2} \propto l \rightarrow$ option (q)
