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NEET
Exam
NEET
Subject
Physics
Chapter
Motion in One Dimension

NEET · Physics · Motion in One Dimension

The given graph shows the variation of velocity (v) with position...

The given graph shows the variation of velocity (v) with position (x) for a particle moving along
a straight line
The given graph shows the variation of velocity (v) with position (x) for a particle moving along a straight line Which
Which of the following graph shows the variation of acceleration (a) with position (x)?

Options

  1. AConsider the following statements A and B . Identify the correct choice in the given answer. A. p-n, p-p and n-n forces
  2. BConsider the following statements A and B . Identify the correct choice in the given answer. A. p-n, p-p and n-n forces
  3. CConsider the following statements A and B . Identify the correct choice in the given answer. A. p-n, p-p and n-n forces
  4. DConsider the following statements A and B . Identify the correct choice in the given answer. A. p-n, p-p and n-n forces

Correct answer

A. Consider the following statements A and B . Identify the correct choice in the given answer. A. p-n, p-p and n-n forces

Step-by-step solution

(A)
Given line have positive intercept but negative slope.
So its equation can be written as,
(v=-m x+v_{0} \ldots(1))
where (m=\tan θ=v0x0\theta=\frac{v_{0}}{x_{0}}
By differentiating with respect to time we get, (dvdt=−\frac{d v}{d t}=-m dxdt=−\frac{d x}{d t}=-m v)
Now substituting the value of ' vv ' from equation (1) we get
(dvdx=−\frac{d v}{d x}=-m\left[-m x+v_{0}\right]=m^{2} x-m v_{0}) a=m2x−mv0a=m^{2} x-m v_{0}
i.e., the graph between a and xx should have positive slope but negative intercept on acceleration axis.
Hence option (A) is correct.
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