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Question

The gravitational potential in a region is given by V = (3x + 4y + 12z)Jkg. The modulus of the gravitational field at (x = 1, y = 0, z = 3) is


A

20 N kg1

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B

13 N kg1

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C

12 N kg1

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D

5 N kg1

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Solution

The correct option is B

13 N kg1


I=(δvδx^i+δvδy^j+δvδz^k)=(3^i+4^j+12^k)[As V=(3x+4y+12z)(given)]

It is uniform field Hence its value is same every where |I|=32+42+122=13 Nkg1


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