Two springs of spring constants `k_1` and `k_2` are stretched by the same force. First spring undergoes more extension than the second one. In which of the two springs, energy stored will be maximum?

Two wires of the same material and length but diameters in the ratio 1:2 are stretched by the same force. The potential energy per unit volume for the two wires when stretched will be radio.

A block of mass m is attached to two unstrecthed of spring constant k_1 and k_2 as shown in the figure The block is displaced towards right through a distance x and is released. Find the speed of the block as it passes through the mean position shown.

Figure 14.26 (a) shows a spring of force constant k clamped rigidly at one end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure 14.26 (b) shows the same spring with both endsfree and attached to a mass m at either end. Each end of the spring in Fig. 14.26(b) is stretched by the same force F What is the maximum extension of the spring in the two cases ?

Two identical springs, one of spring factor k_1 and other of spring factor k_2 are first connected in parallel and then in , series with same rigid support. Deduce the spring constant, when a body of weight mg is connected to each of combination.

Figure 14.26 (a) shows a spring of force constant k clamped rigidly at one end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure 14.26 (b) shows the same spring with both endsfree and attached to a mass m at either end. Each end of the spring in Fig. 14.26(b) is stretched by the same force F If the mass in Fig. (a) and the two masses in Fig. (b) are released, what is the period of oscillation in each case ?

A spring of force constnat K is cut into three equal parts. The force constant of each part will be

Identical springs of steel and copper are equally stretched. On which, more work will have to be done??

Consider two conducting spheres of radii of R_1 and R_2 with R_1 > R_2 . If the two are at the same potential the larger sphere has more charge than the smaller spheres. State whether the charge density of the smaller sphere is more or less than that of the larger one.

A stone of mass and spring constant k. The unstrecthed length of the string is L and has negligible mass. The other end of the string is fixed to a nail at a point P. Initially the stone is at the same level as the point P. The stone is dropped vertically from point P. Find the distance y from the top when the mass comes to rest for an instant, for the first time.

Two springs are joined and connected to a mass m . If the spring force constants are k_1 and k_2 show that the frequency of oscillation of mass m is