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(B) Statement $(1)$ is correct: The exponential growth model is represented by the equation $N_t = N_0 e^{rt}$,where $N_t$ is the population density a

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$T, T, F, T$

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(B) Statement $(1)$ is correct: The exponential growth model is represented by the equation $N_t = N_0 e^{rt}$,where $N_t$ is the population density at time $t$,$N_0$ is the population density at time zero,$r$ is the intrinsic rate of natural increase,and $e$ is the base of natural logarithms.Statement $(2)$ is correct: Many organisms like bamboo and Pacific salmon fish breed only once in their lifetime.Statement $(3)$ is incorrect: Amensalism is an interaction where one species is harmed $(-)$ and the other is unaffected $(0)$. The statement incorrectly describes the interaction as one species benefiting,which is not the case.Statement $(4)$ is correct: According to Gause's Competitive Exclusion Principle,two closely related species competing for the same resources cannot coexist indefinitely,and the competitively superior one will eventually eliminate the inferior one.Therefore,the sequence of truth values is $T, T, F, T$.

List-$I$	List-$II$
$(a)$ Allen's Rule	$(i)$ Kangaroo rat
$(b)$ Physiological adaptation	$(ii)$ Desert lizard
$(c)$ Behavioural adaptation	$(iii)$ Marine fish at depth
$(d)$ Biochemical adaptation	$(iv)$ Polar seal

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