Suppose the two photographs, shown in fig.13.1 and fig 13.2, had been taken at an interval of 10 seconds. If a distance of 100 metres is shown by 1 cm in these photographs, calculate the speed of the blue car.

The speed-time graph for a car is shown in Fig.8.12. Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine the maximum speed of the mass

Speed - time graph for a car is show in the fig 1.13:Which part of the graph represents uniform motion of the car ?

A non-uniform bar of weight W is suspended at rest by two strings of negligible weight as shown in Fig.7.39. The angles made by the strings with the vertical are 36.9^@ and 53.1^@ respectively. The bar is 2 m long. Calculate the distance d of the centre of gravity of the bar from its left end.

A wheel of radius 10 cm can rotate freely about its centre as shown in fig.A string is wrapped over its rim and is pulled by a force of 5.0N .It is found that the torque prodces an angular acceleration 2.0 rad//s in the wheel.calculate the moment of inertia of the wheel.

Two stones are thrown up simultaneously from the edge of a cliff 200 m high with initial speeds of 15 m s^-1 and 30 m s^-1 . Verify that the graph shown in Fig. 3.27 correctly represents the time variation of the relative position of the second stone with respect to the first. Neglect air resistance and assume that the stones do not rebound after hitting the ground. Take g = 10 m s^-2 . Give the equations for the linear and curved parts of the plot.

Fig.110 shows a capacitor made of two circular plates each of radius R=12 cm and separated by 5 cm.The capacitor is being charged by an external source (not shown in the figure).Use modified Ampere's circuital law to determine magnetic field at the point P at a distance of 0.5 m from the centre of the plats in the plane midway between them,when the chargingg current is 2A? .

A vessel ABCD of 10 cm width has two small slits S_(1) and S_(2) sealed with idebtical glass plates of equal thickness. The distance between the slits is 0.8 mm. POQ is the line perpendicular to the plane AB and passing through O, the middle point of S_(1) and S_(2) . A monochromatic light source is kept at S, 40 cm below P and 2 m from the vessel, to illuminate the slits as shown in the figure. Calculate the position of the central bright fringe on the other wall CD with respect of the line OQ. Now, a liquid is poured into the vessel and filled up to OQ. The central bright fringe is fiund to be at Q. Calculate the refractive index of the liquid.

Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Fig. 9.13. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongations of the steel and the brass wires: