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Magnetic Field

For a particl...

Question

For a particle moving along X-axis if acceleration(constant) is acting along -ve X-axis, then match the entries of Column-I with entries of Column II
Column I Column II
A. Initial velocity > 0 P. Particle may move in +ve X direction with increasing speed
B. Initial velocity < 0 Q. Particle may move in +ve X direction with decreasing speed
C. X > 0 R. Particle may move in -ve X direction with increasing speed
D. X < 0 S. Particle may move in -ve X direction with decreasing speed

A -> Q, R; B -> Q, R; C-> Q, R; D -> R

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A -> Q; B -> Q, R; C-> R; D -> Q, R

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A -> Q, R; B -> R; C-> Q, R; D -> Q, R

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A -> Q, R; B -> R; C-> R; D -> R

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Solution

The correct option is B A -> Q, R; B -> R; C-> Q, R; D -> Q, R
1) If initial vel > 0,
Since force is in (-ve) x axis, so, if particle is moving in (+ve) x axis, then it will have decreasing speed.
or,
If the particle moves in (-ve) x axis direction, then it will have increasing speed in (-ve) x axis direction.
2) Initial vel < 0,
In this case, particle is somewhere between $¯ ¯¯¯¯¯¯ ¯ O A$ (say) and because of applied force in (-ve) x axis direction, it can move in (-ve) x axis direction with increasing speed.
3) If the particle is somewhere between $¯ ¯¯¯¯¯¯ ¯ O B$ , then if it is moving in $¯ ¯¯¯¯¯¯ ¯ O B$ direction it will have decreasing speed, if it is moving in $- - \to B O$ direction, it will have increasing speed
4) If the particle is somewhere between $¯ ¯¯¯¯¯¯ ¯ O A$ , then also, because of applied force, if the initial velocity is in OB direction, the particle will move with decreasing speed, otherwise it will move in increasing speed.

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Column I	Column II
A. Initial velocity > 0	P. Particle may move in +ve X direction with increasing speed
B. Initial velocity < 0	Q. Particle may move in +ve X direction with decreasing speed
C. X > 0	R. Particle may move in -ve X direction with increasing speed
D. X < 0	S. Particle may move in -ve X direction with decreasing speed