List of top Physics Questions on Hooke's Law asked in JEE Main

A mass \(m\) attached to free end of a spring executes SHM with a period of \(1 \,s\) If the mass is increased by \(3\, kg\) the period of oscillation increases by one second, the value of mass \(m\) is ______\(kg.\)

Two persons are pulling a rope towards themselves with a force of 200 N each. If the Young's modulus is 2 x 10¹¹ N/m² and area of cross-section is 2 cm² for the rope, the elongation in the rope is ____.
(distance between the persons holding the ropes is 2 m.)