NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Motion in One Dimension
NEET · Physics · Motion in One Dimension
Let us cell a motion, A when velocity is positive and increasing A^...
Let us cell a motion, when velocity is positive and increasing when velocity is negative and increasing. when velocity is positive and decreasing and when velocity is negative and decreasing. Now, match the following two columns for the given graph.
| Column I | Column II | ||
| (A) | M | (p) | A^{-1} |
| (B) | N | (q) | R^{-1} |
| (C) | P | (r) | A |
| (D) | Q | (s) | R |
Options
- A((\mathrm{A} \rightarrow \mathrm{p}, \mathrm{B} \rightarrow \mathrm{q}, \mathrm{C} \rightarrow \mathrm{r}, \mathrm{D} \rightarrow \mathrm{s}))
- B((\mathrm{A} \rightarrow \mathrm{q}, \mathrm{B} \rightarrow \mathrm{p}, \mathrm{C} \rightarrow \mathrm{r}, \mathrm{D} \rightarrow \mathrm{s}))
- C((\mathrm{A} \rightarrow \mathrm{r}, \mathrm{B} \rightarrow \mathrm{s}, \mathrm{C} \rightarrow \mathrm{q}, \mathrm{D} \rightarrow \mathrm{p}))
- D((\mathrm{A} \rightarrow \mathrm{s}, \mathrm{B} \rightarrow \mathrm{r}, \mathrm{C} \rightarrow \mathrm{p}, \mathrm{D} \rightarrow \mathrm{q}))
Correct answer
A. ((\mathrm{A} \rightarrow \mathrm{p}, \mathrm{B} \rightarrow \mathrm{q}, \mathrm{C} \rightarrow \mathrm{r}, \mathrm{D} \rightarrow \mathrm{s}))
Step-by-step solution
Rule: velocity slope of curve (sign from slope), velocity increasing/decreasing sign of acceleration = concavity of (concave up (\rightarrow) acceleration (>0 \rightarrow) velocity increasing; concave down (\rightarrow) acceleration (< 0 \rightarrow) velocity decreasing).
Apply at marked points:
- : slope negative, curve concave up (\rightarrow) velocity negative and increasing (\rightarrow A^{-1}).
- : slope negative, curve concave down (\rightarrow) velocity negative and decreasing (\rightarrow R^{-1}).
- : slope positive, curve concave up (\rightarrow) velocity positive and increasing (\rightarrow A).
- : slope positive, curve concave down (\rightarrow) velocity positive and decreasing (\rightarrow R).
So matching: (M \rightarrow p\left(A^{-1}\right), N \rightarrow q\left(R^{-1}\right), P \rightarrow r(A), Q \rightarrow s(R)). (Choice 1.)
Apply at marked points:
- : slope negative, curve concave up (\rightarrow) velocity negative and increasing (\rightarrow A^{-1}).
- : slope negative, curve concave down (\rightarrow) velocity negative and decreasing (\rightarrow R^{-1}).
- : slope positive, curve concave up (\rightarrow) velocity positive and increasing (\rightarrow A).
- : slope positive, curve concave down (\rightarrow) velocity positive and decreasing (\rightarrow R).
So matching: (M \rightarrow p\left(A^{-1}\right), N \rightarrow q\left(R^{-1}\right), P \rightarrow r(A), Q \rightarrow s(R)). (Choice 1.)