KVPY SX SB Exam 2018 Question Paper

Question : 116 of 120

Marks: +1, -0

Within the exponential phase of growth, if the initial surface area and the growth rate of a leaf are 10 mm

^{2}

and 0.015 nm

^{2}

/hour respectively, the area of the leaf after 4 days would range from :

Solution:

Equation of exponential growth in plants is

W_t = W_0 × e^(rt)

W_0 = 10 \mm^2

r = 0.015 \mm^2

/hour
t = 4 days → 4 × 24 = 96 hours

w_t = 10 × e^{0.015 × 96} = 42.2

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