A particle is moving along a circular path with a constant speed of $10 \mathrm {~ms} ^ { - 1 }$. What is the magnitude of the change in velocity of the particle, when it moves through an angle of $60 ^ { \circ }$ around the centre of the circle?\\
(1) $10 \sqrt { 3 } \mathrm {~m} / \mathrm { s }$\\
(2) zero\\
(3) $10 \sqrt { 2 } \mathrm {~m} / \mathrm { s }$\\
(4) $10 \mathrm {~m} / \mathrm { s }$