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Question

A particle moves in a potential region given by U=8x24x+400. Its state of equilibrium will be


A

0.25M

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B

8M

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C

10M

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D

12M

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Solution

The correct option is A

0.25M


Step 1. Given Data,

U=8x24x+400

Step 2. Formula Used,

Let the force be F.
dUdx=F

Step 3. Calculating the state of equilibrium,

Let the force be F,
dUdx=F
Differentiating the equation we get,
U=8x24x+400dUdx=16x4
Therefore, we get,
F=16x4
In equilibrium condition,

F=0,
16x4=0
x=0.25m
Therefore the state of equilibrium of the particle will be 0.25m.

Hence, option A is the correct option.


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