A Rectangular Loop of Wire That Can Rotate About an Axis

A rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a magnetic field with a strength of $0.40 \mathrm {~T}$ , as shown in the figure. The length of the loop $L$ is $0.16 \mathrm {~m}$ and its width $w$ is $0.040 \mathrm {~m}$ . What is the magnetic flux through the loop when the plane of the loop makes an angle of $60 ^ { \circ }$ with the magnetic field?

A) $0.80 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$
B) $2.6 \times 10 ^ { - 3 } \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$
C) $1.3 \times 10 ^ { - 3 } \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$
D) $2.2 \times 10 ^ { - 3 } \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$
E) $0 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$