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Questions  

A force F = αi^+3j^+6k^ is acting at a point r = 2i^-6j^-12k^ . The value of α for which angular momentum about origin is conserved is

a
1
b
-1
c
2
d
zero

detailed solution

Correct option is B

Angular momentum will be conserved if net torque acting on the system about the origin becomes zero.Given force acting F→ = αi^+3j^+6k^-----(i)and r→ = 2i^-6j^-12k^ = -2(-i^+3j^+6k^)----(ii)If torque becomes zero then  then cross product should become zero. that is the two vectors must be parallelTherefore, α2= 3-6=6-12⇒α=-1

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