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A uniform spring of force constant k is cut into two pieces, the lengths of which are in the ratio 1: 2. The ratio of the force constants of the shorter and the longer pieces is ____.
1 : 3
1 : 2
2 : 3
2 : 1
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A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. The other end of the spring is fixed to a wall. The block has a speed v when the spring is at its natural length. Before coming to an instantaneous rest, if the block moves a distance x from the mean position, then ____.
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A mass m is vertically suspended from a spring of negligible mass; the system oscillates with a frequency n. What is the frequency of the system if a mass 4 m is suspended from the same spring?
If the period of oscillation of mass m suspended from a spring is 2 s, then the period of mass 4m is ____.
1 s
2 s
3 s
4 s
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