A conical pendulum of length $l$ makes an angle $\theta = 45 ^ { \circ }$ with respect to $Z$-axis and moves in a circle in the $X Y$ plane. The radius of the circle is 0.4 m and its center is vertically below $O$. The speed of the pendulum, in its circular path, will be - (Take $g = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }$) (1) $0.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ (2) $0.4 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ (3) $2 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ (4) $4 \mathrm {~m} \mathrm {~s} ^ { - 1 }$
A conical pendulum of length $l$ makes an angle $\theta = 45 ^ { \circ }$ with respect to $Z$-axis and moves in a circle in the $X Y$ plane. The radius of the circle is 0.4 m and its center is vertically below $O$. The speed of the pendulum, in its circular path, will be - (Take $g = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }$)\\
(1) $0.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }$\\
(2) $0.4 \mathrm {~m} \mathrm {~s} ^ { - 1 }$\\
(3) $2 \mathrm {~m} \mathrm {~s} ^ { - 1 }$\\
(4) $4 \mathrm {~m} \mathrm {~s} ^ { - 1 }$