Mechanical Prop...

A pan with set of weights is attached with a light spring. When disturbed, the mass-spring system oscillates with a time period of 0.6 s. When some additional weights are added, then time period is 0.7 s. The extension caused by the additional weight is approximately given by

If the ratio of lengths, radii and Young\'s modulus of steel and brass wires shown in the figure are a, b and c, respectively. The ratio between the increase in lengths of brass and steel wires would be

A wire of length 2L and radius r is stretched between A and B without the application of any tension. If Y is the Young\'s modulus of the wire and it is stretched like ACB, then the tension in the wire will be

A wooden wheel of radius R is made of two semicircular parts (see figure). The two parts are held together by a ring made of a metal strip of cross sectional area S and length L. L is slightly less then 2TER. To fit the ring on the wheel, it is heated so that its temperature rises by AT and it just steps over the wheel. As it cools down to surrounding temperature, it presses the semicircular parts together. If the coefficient of linear expansion of the metal is a, and its Young\'s modulus is Y, the force that one part of the wheel applies on the other part is

The graph shown was obtained from experimental measurements of the period of oscillations T for different masses M placed in the scale pan on the lower end of the spring balance. The most likely reason for the line not passing through the origin is that the

A graph is shown between stress and strain for a metal. The part in which Hooke\'s law holds good is

In the above graph, point B indicates

In the above graph, point D indicates

The strain-stress curves of three wires of different materials are shown in the figure. P, Q and R are the elastic limits of the wires. The figure shows that

The diagram shows a force-extension graph for a rubber band. Consider the following statements
I. It will be easier to compress this rubber than expand it
II. Rubber does not return to its original length after it is stretched
III. The rubber band get heated if it is stretched and released
Which of these can be deduced from the graph?