Population Growth

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Welcome! 1.3 Population Growth โ€” Test 2 — 20 questions, CSIR-NET style.

What this test covers

  • Exponential vs logistic growth equations
  • Carrying capacity & density dependence
  • Doubling time & growth-rate calculations
  • Maximum growth at K/2 & sustainable yield

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1.3 Population Growth โ€” Test 2
Q1. The maximum population size that a particular environment can sustain, given its resources, is termed the:โœ“ Carrying capacity
Q2. The equation describing population growth when resources are unlimited (exponential growth) is:โœ“ dN/dt = rN
Q3. In a population growing exponentially, the per capita growth rate:โœ“ Remains constant as population size increases
Q4. A population of 10 million has a birth rate of 19 per 1000 and a death rate of 14 per 1000. The annual increase is:โœ“ 50,000
Q5. With a birth rate of 18 per 1000, a death rate of 14 per 1000 and a population of 10,000 at time t, the size at t + 1 is:โœ“ 10,040
Q6. The doubling time of a population growing exponentially with rate r is:โœ“ ln 2 / r
Q7. Gypsy moth egg density is 160 at time t and 200 at t + 1. Assuming a constant growth factor, the density at t + 3 is:โœ“ 312
Q8. A population's density rises from 40 to 46 in one month. If the per capita birth rate is 0.4, the per capita death rate is:โœ“ 0.25
Q9. A population grows from 600 to 645 in one year. If the per capita birth rate is 0.125, the per capita death rate is:โœ“ 0.05
Q10. Logistic (density-limited) population growth is described by:โœ“ dN/dt = rN(1 โˆ’ N/K)
Q11. In logistic growth with r = 0.15 per week and K = 400, the maximum population growth rate (individuals per week) is:โœ“ 15
Q12. With a birth rate of 0.25, a death rate of 0.05, K = 500 and N = 100, the (a) exponential and (b) logistic growth rates are:โœ“ a: 20, b: 16
Q13. In the logistic model, the population growth rate (dN/dt) is maximal when N equals:โœ“ K/2
Q14. For sustainable harvesting of a logistically growing population, the population is best maintained at:โœ“ Half of the carrying capacity
Q15. When two populations grow exponentially with an initial difference in growth rate of 10%, after 10 generations their sizes will differ by a factor of approximately:โœ“ 2 : 1
Q16. The difference in size between two exponentially growing populations with different intrinsic rates will:โœ“ Increase exponentially
Q17. Mice introduced to an island grow exponentially, then the population reaches 520 and stabilises. The population's growth rate was highest when its size was about:โœ“ 260
Q18. Intraspecific competition is most intense when the term (K โˆ’ N)/K is:โœ“ 0.001 (N close to K)
Q19. Temporary fluctuations of a population around its carrying capacity are caused mainly by:โœ“ Density-dependent factors
Q20. Match each population-growth concept with its description and select the correct option.โœ“ A-ii, B-i, C-iii, D-iv