A mass of \( 2.0 \mathrm{~kg} \) is put on a flat pan attached to a...

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A mass of \( 2.0 \mathrm{~kg} \) is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a
\( \mathrm{P} \) simple harmonic motion. The spring constant is \( 200 \mathrm{~N} / \mathrm{m} \). What should be the minimum amplitude of the motion so that the mass gets detached from the pan (Take
W \( \left.g=10 \mathrm{~m} / \mathrm{s}^{2}\right) \)
[CBSE PMT 2007; AIIMS 2007]
(a) \( 8.0 \mathrm{~cm} \)
(b) \( 10.0 \mathrm{~cm} \)
(c) Any value less than \( 12.0 \mathrm{~cm} \)
(d) \( 4.0 \mathrm{~cm} \)
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