Three tropical forests I, II and III are respectively, circular, triangular and rectangular in shape. Assume that all of them have the same area, and all three surrounded by grasslands on all sides. Which forests(s) would be expected to have the smallest ecotone?

A circular plate, a cube and a sphere, all made up of same material and having the same mass, are heated to 300^@C and left in a room. Which of them will have the slowest rate of cooling?

A sphere, a cube and a thin circular plate, all having the same mass and made of the same material are heated to the same temperature and them allowed to cool. Which of them cools fastest ?

There are three solids made up of aluminum, steel and wood, of the same shape and same volume. Which of them would have highest inertia?

There are three solids made up of aluminum, steel and wood, of the same shape and same volume. Which of them would have highest inertia?

Three dice are thrown simultaneously. Find the probability that: (i)all of them show the same face. (ii)all show distinct faces. (iii)two of them show the same face.

Three dice are thrown simultaneously.Find the probability that: (i)all of them show the same face.(ii)all show distinct faces.(iii)two of them show the same face.

Identify the shapes on the basis of description. (i) A three-sided polygon with all sides equal (ii) The longest side of a right-angled triangle.

Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed omega about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation.