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The potential energy (in joules ) functi...

The potential energy (in joules ) function of a particle in a region of space is given as:
`U=(2x^(2)+3y^(2)+2x)`
Here x,y and z are in metres. Find the maginitude of x compenent of force ( in newton) acting on the particle at point P ( 1m, 2m, 3m).

A

2

B

3

C

0

D

4

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The potential energy of a particle of mass 1 kg in a conservative field is given as U=(3x^(2)y^(2)+6x) J, where x and y are measured in meter. Initially particle is at (1,1) & at rest then:

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    C
    Work done to slowly bring the particle to origin is `-9` J
    D
    If particle is left free it moves in straight line
  • The electric potential in a region is given by V = (2x^(2) - 3y) volt where x and y are in meters. The electric field intensity at a point (0, 3m, 5m) is

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    `-6 hati N//C`
    B
    `3 hatjN//C`
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    `-3 hatj N//C`
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  • A particle of mass 1 kg is moving along the line y = x + 2 (here x and y are in metres) with speed 2 m/s. The magnitude of angular momentum of particle about its origin is

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    C
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    D
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