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Match Column-I with Column-II :

 

Column I

(x-t graphs)

Column II

(v-t graphs)

  
A I
B II
C III
D IV

Choose the correct answer from the options given below:

Option: 1

A- I, B-II, C-III, D-IV
 


Option: 2

A- II, B-III, C-IV, D-I
 


Option: 3

 A- I, B-III, C-IV, D-II
 


Option: 4

A- II, B-IV, C-III, D-I


Answers (1)

best_answer

\text { (A) } \quad x \propto t^2

\frac{\mathrm{dx}}{\mathrm{dt}} \propto 2 \mathrm{t} \Rightarrow \mathrm{V} \propto \mathrm{t} \quad \mathrm{A} \rightarrow \mathrm{II}

\text { (B) } \quad \mathrm{x}=\mathrm{x}_0 \mathrm{e}^{-\alpha t}

\begin{array}{ll} \frac{\mathrm{dx}}{\mathrm{dt}}=\mathrm{x}_0 \mathrm{e}^{-\alpha \mathrm{\alpha t}}(-\alpha)=-\alpha\left(\mathrm{x}_0 \mathrm{e}^{-c t}\right) & \\ \mathrm{V}=-\alpha \mathrm{x}_0 \mathrm{e}^{-\alpha t} & \mathrm{~B} \rightarrow \mathrm{IV} \end{array}

(C) \begin{aligned} & \mathrm{x} \propto \mathrm{t} \rightarrow \mathrm{V}=\text { const } \\ & \mathrm{x} \propto-\mathrm{t} \rightarrow \mathrm{V}=- \text { const } \mathrm{C} \rightarrow \mathrm{III} \end{aligned}

(D) \mathrm{x} \propto \mathrm{t} \rightarrow \mathrm{V}=const\; \mathrm{D} \rightarrow \mathrm{I}

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seema garhwal

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