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If the energy, E=G^(p)h^(q)c^(r), where ...

If the energy, `E=G^(p)h^(q)c^(r)`, where G is the universal gravitational constant, h is the planck's constant and c is the velocity of light, then the value of p,q and r are respectively

A

`100 V`

B

`200 sqrt(2) V`

C

`200 V`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
D
Slope from x axis
`y=3+x, tan theta=1 rArr theta=45^(@)`
`:.` Electric field in vector from `vec(E)=100((hat(i)+hat(j))/sqrt(2))`
`:. V=-underset(("3, 1"))overset(("1, 3"))(int)vec(E).dvec(r)`
`V=(-100)/sqrt(2)[underset(3)overset(1)(int)dx+underset(1)overset(3)(int) dy]=50 sqrt(2)[-2+2]=0`
Alternate solution: The direction of electric field and the slope of line A (3, 1) & (1, 3) is `bot` to each others so the dot product `vec(E).dvec(r)` becomes zero.
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