The location of the point F that partitions a line segment from D to E (
), that goes from <u>negative 4</u> to <u>positive 5,</u> into a 5:6 ratio is fifteen halves (option 4).
We need to calculate the segment of the line DE to find the location of point F.
Since point D is located at <u>negative -4</u> and point E is at <u>positive 5</u>, we have:
Hence, the segment of the line DE () is 9.
Knowing that point F partitions the line segment from D to E () into a <u>5:6 ratio</u>, its location would be:
Therefore, the location of point F is fifteen halves (option 4).
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Answer:
Explanation:
Let the separation required be d .
Force between rod = 10⁻⁷ x 2 I₁ I₂ L / d
where I₁ and I₂ are current in them , d is distance of separation and L is length of wire .
Force between rod = 10⁻⁷ x 2 x 1200 x 1200 x .69 / d
= .1987 /d
Restoring Force by spring = k x where k is force constant and x is compression .
= 130 x .03
= 3.9 N
For balancing
Restoring Force by spring = Force between rod
.1987 /d = 3.9
d = .1987 /3.9
= .0509 m
= 5.09 cm .
The dimensional formula for the moment of force is [M1L2T−2].
