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The position of a particle is given by v...

The position of a particle is given by `vec r = hat i + 2hat j - hat k` and its momentum is `vec p = 3 hat i + 4 hat j - 2 hat k`. The angular momentum is perpendicular to

A

X-axis

B

Y-axis

C

Z-axis

D

Line at equal angles to all the three axes

Text Solution

Verified by Experts

The correct Answer is:
A
`vec(L) = vec(r ) xx vec(p)= |(hat(i),hat(j),hat(k)),(1,2,-1),(3,4,-2)|= 0 hat(i)- hat(j)-2hat(k)= - hat(j)-2hat(k)` and the X-axis is given by `i+ 0 hat(j) + 0 hat(k)`
Dot product of these two vectors is zero i.e. angular momentum is perpendicular to X-axis
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