| List-I | List-II |
| A. Biodiversity hotspot | I. Khasi and Jantia hills in Meghalaya |
| B. Sacred groves | II. World Summit on Sustainable |
| C. Johannesburg South Africa | III. Parthenium |
| D. Alien species invasion | IV. Western Ghats |
A. Biodiversity hotspot: The Western Ghats is a recognized biodiversity hotspot. A-IV
B. Sacred groves: Sacred groves are forest fragments traditionally protected by local communities. They are often found in the Khasi and Jantia hills of Meghalaya. B-I
C. Johannesburg, South Africa: The World Summit on Sustainable Development 2002 was held in Johannesburg, South Africa. C-II
D. Alien species invasion: Parthenium (commonly known as congress grass) is an invasive alien species in India. D-III
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 