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A primary root grows from 5 cm to 19 cm ...

A primary root grows from 5 cm to 19 cm in a weak. Calculate the actual growth rate (AGR) and relative growth rate (RGR) over the period.

Text Solution

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"Growth is dependent on three factors- intial size"`(W_(0))` "rate o fgrowth (r ) and time interval (+) for which the rate of growth is retained."
`W_(1)=W_(0) e^(rt)`
`W_(1) = "final size"`
`W_(0)= initial size,.`
`W_(0)= "Initial size"`
`"r=growth rate",`
`"t= time"`
`"e= base of natural, logarithim"`
`19=5xx(2.7)^(rxx7)`
`19/5=(2.7)^(rxx7)`
`3.89=(2.7)^(rxx7)`
`log3.8 = rxx7xxlog(2.7)`
`0.5798=rxx7xx0.4314`
`(0.5798)/(7xx0.4314)=r=0.1907`
`"Relative growth rate=(Growth in given time period)/(Measurement at atrat of time period)"`
`=19/5=3.8 cm`
"Thus absolute growth rate is 0.1907 while realtvie growth rate is" 3.8 cm
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