question_answer

The gravitational field in a region is given by: \[\vec{E}=(5N/kg)\,\hat{i}+(12\,N/kg)\,\hat{j}\] If the potential at the origin is taken to be zero, then the ratio of the potential at the points (12m, 0) and (0, 5m) is:                                                                                                    [JEE ONLINE 25-04-2013]

A)  Zero

B)                   1  \[6.73\times {{10}^{-.3}}\operatorname{m}/{{\operatorname{s}}^{2}}\]

C)  \[\frac{144}{25}\]                                

D)  \[\frac{25}{144}\]

Correct Answer: B

Solution :

[b] From question,

and

Gravitational potential

= Gravitational field distance

and

(Given: potential at the origin is zero)