Assertion: At a point electric potential is decreasing along x-axis at a rate of `10 V//m`. Therefore, x-component of electric field at this point should be `10 V//m` along x-axis.
Reason: Magnitude of `E_x=(delV)/(delx)`

Options

A. If both Assertion and Reason are true but Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. If Assertion is true, but the Reason is false.
D. If Assertion is false but the Reason is true.

Answer

D

Explanation

`E=-((delV)/(delx)hati+(delV)/(dely)hatj+(delV)/(delz)hatk)`
`:. |E|=sqrt(((delV)/(delx))^(2)+((delV)/(dely))^2+((delV)/(delz))^2)`
`:. |E|ge(delV)/(delx)`
`or =10 V//m`