Join WhatsApp Icon JEE WhatsApp Group
Question 43

The concentration of fluoride, lead, nitrate and iron in a water sample from an underground lake was found to be 1000 ppb, 40 ppb, 100 ppm and 0.2 ppm, respectively. This water is unsuitable for drinking due to high concentration of:

First, we rewrite every analytical concentration in the common unit “ppm” because the standard permissible limits for drinking water are normally quoted in $$\text{mg L}^{-1}$$, i.e. ppm. The conversion factor is stated as $$1\;\text{ppm}=10^3\;\text{ppb}.$$

We have:

$$ \begin{aligned} \text{Fluoride: }&1000\;\text{ppb}=1000\div10^3=1\;\text{ppm},\\[4pt] \text{Lead: }&40\;\text{ppb}=40\div10^3=0.040\;\text{ppm},\\[4pt] \text{Nitrate: }&100\;\text{ppm}\;\text{(already in ppm)},\\[4pt] \text{Iron: }&0.2\;\text{ppm}\;\text{(already in ppm)}. \end{aligned} $$

Now we recall the Bureau of Indian Standards (BIS) / WHO desirable limits for potable water:

$$ \begin{aligned} \text{Fluoride (F}^-)&:&1.0\;\text{ppm (desirable)},\;1.5\;\text{ppm (maximum)},\\[4pt] \text{Lead (Pb)}&:&0.05\;\text{ppm (maximum allowed)},\\[4pt] \text{Nitrate (NO}_3^-)&:&50\;\text{ppm (maximum allowed)},\\[4pt] \text{Iron (Fe)}&:&0.3\;\text{ppm (maximum allowed)}. \end{aligned} $$

We now compare each measured value with its respective maximum limit:

$$ \begin{aligned} \text{Fluoride: }&1;;\text{ppm}\;\lt\;1.5\;\text{ppm}\;\Rightarrow\;\text{acceptable},\\[4pt] \text{Lead: }&0.040\;\text{ppm}\;\lt\;0.05\;\text{ppm}\;\Rightarrow\;\text{acceptable},\\[4pt] \text{Nitrate: }&100\;\text{ppm}\;\gt\;50\;\text{ppm}\;\Rightarrow\;\text{exceeds limit},\\[4pt] \text{Iron: }&0.2\;\text{ppm}\;\lt\;0.3\;\text{ppm}\;\Rightarrow\;\text{acceptable}. \end{aligned} $$

Only the nitrate concentration surpasses its permissible limit, making the water unfit for drinking.

Hence, the correct answer is Option A.

Get AI Help

Create a FREE account and get:

  • Free JEE Mains Previous Papers PDF
  • Take JEE Mains paper tests

Free JEE Topicwise Questions

JEE Atomic StructureJEE Applications of DerivativesJEE Complex NumbersJEE Fluid MechanicsJEE Alcohols, Phenols & EthersJEE Basic Principles of Organic ChemistryJEE Trigonometric FunctionsJEE Three Dimensional GeometryJEE Electromagnetic WavesJEE Redox ReactionsJEE SolutionsJEE Laws of ThermodynamicsJEE Ray OpticsJEE Organic Compounds with HalogensJEE Chemical ThermodynamicsJEE Permutations & CombinationsJEE DeterminantsJEE EMF & Circuit AnalysisJEE Aldehydes & KetonesJEE Atoms & NucleiJEE Dual Nature of Matter & RadiationJEE Electric Charges & FieldsJEE Number SystemJEE Units & MeasurementsJEE Simple Harmonic MotionJEE ElasticityJEE Alternating CurrentsJEE Practical Organic ChemistryJEE Electromagnetic InductionJEE Rotational MotionJEE Hydrocarbons - AlkynesJEE CirclesJEE Kinematics - 1D MotionJEE Purification & CharacterisationJEE Nitrogen-Containing CompoundsJEE Magnetism & Magnetic MaterialsJEE Basic Concepts in ChemistryJEE Laboratory Experiments - XIJEE Periodic Table & PeriodicityJEE Coordination CompoundsJEE Inverse Trigonometric FunctionsJEE Kinetic Theory of GasesJEE Carboxylic AcidsJEE Hydrocarbons - AlkanesJEE d and f-Block ElementsJEE StatisticsJEE LimitsJEE Laws of MotionJEE Electronic DevicesJEE Continuity & DifferentiabilityJEE Sets, Relations & FunctionsJEE Work, Energy & PowerJEE Straight LinesJEE Surface TensionJEE Vector AlgebraJEE ElectrochemistryJEE Kinematics - 2D MotionJEE Chemical KineticsJEE Magnetic Effects of CurrentJEE Binomial TheoremJEE Definite IntegrationJEE ProbabilityJEE Sequences & SeriesJEE Hydrocarbons - AromaticJEE Chemical Bonding & Molecular StructureJEE Hydrocarbons - AlkenesJEE Quadratic EquationsJEE DifferentiationJEE GravitationJEE JEE 2D GeometryJEE p-Block Elements (Groups 13-18)JEE Wave OpticsJEE BiomoleculesJEE Heat TransferJEE Current & ResistanceJEE MatricesJEE Differential EquationsJEE EquilibriumJEE WavesJEE Indefinite IntegrationJEE Electric Potential & CapacitanceJEE Conic Sections
Ask AI