On entire Earth the ratio between land and water is 1:2 and at northern hemisphere this ratio is 2:3. What will be the ratio of land with water at southern hemisphere?
On entire Earth the ratio between land and water is 1:2 and at northern hemisphere this ratio is 2:3. What will be the ratio of land with water at southern hemisphere?
The correct option is D 4:11
Let us assume that complete surface area of Earth is A, then as ratio of land and water on earth is 1:2, the land must be A3 and water must be 2A3.
Further each hemisphere would be A2 in area. In northern hemisphere, we have land and water in the ratio of 2:3, as such it has A2×25=2A10=A5 land area and A2×35=3A10 area.
As total land area is A3 and northern hemisphere has A5, southern hemisphere has A3−A5=2A15 land and as total water area is 2A3 and northern hemisphere has 3A10 area under water. Therefore, southern hemisphere has 2A3−3A10=20A−9A30 i.e. 11A30 under water.
Hence in southern hemisphere land is 2A15 and water is 11A30 and
hence ratio of land and water in southern hemisphere is
2A15:11A30=2A15×3011A=411 i.e. 4:11.
Let us assume that complete surface area of Earth is A, then as ratio of land and water on earth is 1:2, the land must be A3 and water must be 2A3.
Further each hemisphere would be A2 in area. In northern hemisphere, we have land and water in the ratio of 2:3, as such it has A2×25=2A10=A5 land area and A2×35=3A10 area.
As total land area is A3 and northern hemisphere has A5, southern hemisphere has A3−A5=2A15 land and as total water area is 2A3 and northern hemisphere has 3A10 area under water. Therefore, southern hemisphere has 2A3−3A10=20A−9A30 i.e. 11A30 under water.
Hence in southern hemisphere land is 2A15 and water is 11A30 and
hence ratio of land and water in southern hemisphere is
2A15:11A30=2A15×3011A=411 i.e. 4:11.
