1.

A conducting rod `PQ` of length `5 m` oriented as shown in figure is moving with velocity `(2 m//s)hat(i)` without any rotation in a uniform magnetic field `(3hat(j)+4hat(k))` Tesla. Emf induced in the rod is A. 32 VoltsB. 40 VoltC. 50 VoltD. none

Answer» Correct Answer - A
`vec(l)=5cos53^(@)hat(i)+5 sin 53^(@)hat(j)=3hat(i)+4hat(j)`
`e=|(vec(V)xxvec(B)).vec(l)|=|2hat(i)xx(3hat(j)+4hat(k)).(3hat(i)+4hat(j))|`
`=|(6hat(k)-8hat(j)).(3hat(i)+4hat(j))|=32` volt


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