1.

Two forces `F_(1)` and `F_(2)` are acting at a point, whose resultant is `F`.If `F_(2)` is doubled `F` is also doubled. If `F_(2)` is reversed then also `F` is doubled. Then `F_(1):F_(2):F` isA. `sqrt2:sqrt2:sqrt3`B. `sqrt3:sqrt3:sqrt2`C. `sqrt3:sqrt2:sqrt3`D. `sqrt2:sqrt3:sqrt2`

Answer» Correct Answer - D
`F^(2)=F_(1)^(2)+F_(2)^(2)+2F_(1)F_(2)costheta...(1)`
`4F^(2)=F_(1)^(2)+F_(2)^(2)+4F_(1)F_(2)costheta...(2)`
`4F^(2)=F_(1)^(2)+F_(2)^(2)-2F_(1)F_(2)costheta...(3)`


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