Age of a tree can be estimated by:
Age of tree can be estimated by the number of annual rings. Every year, a new layer of wood is added to the trunk and the branches of the tree and these layers forms the annual rings. Thus, one annual ring is equal to one year. The new layer is formed from the cambium between the bark and the old wood.
There are two distinct portions in an annual ring:
The two kinds of woods that appear as alternate concentric rings, constitute an annual ring heartwood having dead elements with highly lignified walls that provides mechanical support to the stem. The height and girth of a tree increases due to the activity of vascular cambium.
A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is : 
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:
Three identical heat conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity 2K while that in the middle has thermal conductivity K. The left end of the combination is maintained at temperature 3T and the right end at T. The rods are thermally insulated from outside. In steady state, temperature at the left junction is \(T_1\) and that at the right junction is \(T_2\). The ratio \(T_1 / T_2\) is 