A particle of mass \( 1 \mathrm{~g} \) executes an oscillatory motion on the concave surface of ...

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A particle of mass \( 1 \mathrm{~g} \) executes an oscillatory motion on the concave surface of a spherical dish of radius \( 2 \mathrm{~m} \) placed on a horizontal plane. If the motion of the particle begins from a point on the dish at a height of \( 1 \mathrm{~cm} \) from the horizontal plane and the coefficient of friction is \( 0.01 \), the total distance covered by the particle before it comes to rest, is approximately
(a) \( 2.0 \mathrm{~m} \)
(b) \( 10.0 \mathrm{~m} \)
(c) \( 1.0 \mathrm{~m} \)
(d) \( 20.0 \mathrm{~m} \)
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