A block of mass \( m \) is attached to one end of a massless spring of spring constant \( k \...

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A block of mass \( m \) is attached to one end of a massless spring of spring constant \( k \) . The other end of the spring is fixed to a wall. The block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is \( \mu \). The block is released when the spring has a compression \( \frac{2 \mu \mathrm{mg}}{k} \) of. then choose the incorrect option(s)
(a) The maximum speed of the block is \( \mu \mathrm{g} \sqrt{\frac{m}{k}} \)
(b) The maximum speed of the block is \( 2 \mu \mathrm{g} \sqrt{\frac{m}{k}} \)
(c) The block will have velocity towards left during its motion.
(d) The extension in the spring at the instant the velocity of block become zero for the first time after being released is \( \frac{\mu m g}{k} \).
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