Question

Four raingauge stations are kept in a catchment area . Thiesson weightage of first and second raingauges are 0.2 and 0.5 respectively. If the Thiessen polygonal areas correspond to third and fourth raingauges are in the raio 1 :2 , the thiessen weightage of third and fourth raingauge will be?

• A. 0.2 and 0.1 respectively
• B. 0.1 and 0.2 respectively
• C. 0.6 and 0.3 respectively
• D. 0.25 and 0.05 respectively

Answer 1

The correct option is B 0.1 and 0.2 respectively

Sum of Thiessen weightages = 1

$Then,w_1+w_2+w_3+w_4=1$

$\Rightarrow 0.2+0.5+w_3+w_4=1$

Since, Area represented by the fourth raingauge is double as that of third raingauge ,

$\therefore w_4=2w_3$

$Then,3w_3=1-(0.2+0.5)$

$\therefore 3w_3=0.3$

After solving we get,

$w_3=0.1and{w}_4=0.2$