A circular current carrying loop of `100` turns and radius `10 cm` is placed on `X-Y` plane. A unifromn magnetic field `B = (-hat(i)+hat(k)) T` is present in the region. If current in the loop is `5 A`, then match the Couloumb 1 with Couloum II and select the correct option from the the given codes.

Options

A. `i-p,ii--q,r,iii-s`,
B. `i-q,r,ii-q,s,iii-p`
C. `i-s,q,ii-p,iii-r`,
D. `i-r,ii-p,iii-q,s`,

Answer

B

Explanation

(i) As, the center in `XY` plane is anti-clockwise, so moment will be along `Z`-axis by right hand thumb rule.
(ii) `tau = M xx B`
`|tau| = |M| |B| sin theta = (5xx pi xx (0.1)^(2) xx 100 sqrt(2))/(sqrt(2))`
(here, `theta = 45^(@)`)
(iii) Net force on a closed loop carrying current in a unifrom magnetic feild is zero.
Hence, `(i) rarr (q,r), (ii) rarr (q,x), (iii) rarr (p)`