List of top Questions asked in KEAM- 2003

A ball hangs from a string inside a train moving along a horizontal straight track. The string is observed to incline towards the rear of the train making a constant small angle with the vertical. It shows that the train is:

An object travels north with a velocity of $ 10\text{ }m{{s}^{-1}} $ and then speeds up to a velocity of $ 25\text{ }m{{s}^{-1}} $ in 5 s. The acceleration of the object in these 5 s is:

A plate has a length $ 5\pm 0.1\text{ }cm $ and breadth $ 2\pm 0.01\text{ }cm $ . Then the area of the plate is:

A resistor is constructed as hollow cylinder of dimensions $ {{r}_{a}}=0.5\,cm $ and $ {{r}_{b}}=1.0\,cm $ and $ \rho =3.5\times {{10}^{-5}}\Omega m $ . The resistance of the configuration for the length of 5 cm cylinder is ... $ \times {{10}^{-3}}\Omega $ .

An automobile in travelling at 50 km/h, can be stopped at a distance of 40 m by applying brakes. If the same automobile is travelling at 90 km/h, all other conditions remaining same and assuming no skidding, the minimum stopping distance in metres is: