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Question: The gravitational potential in a region is given by \(( x = 1 , y = 0 , z = 3 )\) is...

The gravitational potential in a region is given by

(x=1,y=0,z=3)( x = 1 , y = 0 , z = 3 ) is

A

B

C

D

Answer

Explanation

Solution

=−(3i^+4j^+12k^)= - ( 3 \hat { i } + 4 \hat { j } + 12 \hat { k } ) [As V=(3x+4y+12z)V = ( 3 x + 4 y + 12 z ) (given)]

It is uniform field Hence its value is same every where ∣I∣=32+42+122=13Nkg−1| I | = \sqrt { 3 ^ { 2 } + 4 ^ { 2 } + 12 ^ { 2 } } = 13 \mathrm { Nkg } ^ { - 1 }.