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For conservative force field, vec(F)=-(...

For conservative force field, `vec(F)=-(delU)/(delx)hat(i)-(delU)/(dy)hat(j)-(delU)/(delz)hat(k)` where `Frarr` Maginitude of Force. `Urarr` Potential energy and `(delU)/(delx)=` Differentiation of `U` w.r.t. `x` keeping `y` and `z` constant and so on.

Choose incorrect matching `:-`

A

`(A)rarr(P,Q,R,S)`

B

`(B)rarr(Q,R)`

C

`(C)rarr(P,S)`

D

`(D)rarr(P,R,S)`

Text Solution

Verified by Experts

The correct Answer is:
D
For `(A)` `:` `vec(F)=-2xyzhat(i)-x^(2)zhat(j)-x^(2)yhat(k)rArrF_(x)=0`,
`F_(y)=0,F_(z)=0,U=0`
For`(B)` :`vec(F)=-2xhat(i)-zhat(j)-yhat(k)rArrF_(x)ne0,F_(y)=0, F_(z)=0, Une0`
For `(C )` `:` `vec(F)=-2x(y+z)hat(i)-x^(2)hat(j)-x^(2)hat(k)rArrF_(x)=0,F_(y)ne0, F_(z)ne0, U=0`
For `(D)` `:` `vec(F)=-2xyhat(i)-x^(2)hat(j)-hat(k)rArrF_(x)=0,F_(y)ne0, F_(z)ne0, U=0`
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