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Vector Algebra question

2021 · 31 Aug · Shift 2 · Q46

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JEE Main
Physics
Vector Algebra
2021 · 31 Aug · Shift 2 · Q46

Vector Algebra question

2021 · 31 Aug · Shift 2 · Q46

JEE MainPhysicsVector AlgebraMCQ+4 / −1

Statement I : Two forces

\left( {\overrightarrow P + \overrightarrow Q } \right)

and

\left( {\overrightarrow P - \overrightarrow Q } \right)

where

\overrightarrow P \bot \overrightarrow Q

, when act at an angle

\theta

1 to each other, the magnitude of their resultant is

\sqrt {3({P^2} + {Q^2})}

, when they act at an angle

\theta

2, the magnitude of their resultant becomes

\sqrt {2({P^2} + {Q^2})}

. This is possible only when

{\theta _1} \lt {\theta _2}

. Statement II : In the situation given above.

\theta

1 = 60

^\circ

and

\theta

2 = 90

^\circ

In the light of the above statements, choose the most appropriate answer from the options given below :-

A
Statement I is false but Statement II is true
B
Both Statement I and Statement II are true
C
Statement I is true but Statement II is false
D
Both Statement I and Statement II are false.

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