NEET / AIIMS · Practice Sheet 13

1. 1.

   Chemistry

   A solution is made by dissolving 11 g of solute in 129 g of solvent. Find the mass percentage of the solute.

   Formula:Mass Percentage

   $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

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2. 2.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.4. Find the dominant allele frequency p and the percentage of heterozygous carriers.

   Formula:Hardy–Weinberg Equilibrium

   $p + q = 1,\;\; 2pq = \text{carriers}$

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3. 3.

   Physics

   If 3,991 J of work is done in 14 s, find the power.

   Formula:Power

   $P = \dfrac{W}{t}$

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4. 4.

   Chemistry

   Find the molarity of a solution containing 1 mol of solute in 4 L of solution.

   Formula:Molarity

   $M = \dfrac{n}{V}$

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5. 5.

   Physics

   Find the momentum of a 12 kg body moving at 5 m/s.

   Formula:Linear Momentum

   $p = mv$

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6. 6.

   Chemistry

   Find the pH of a solution with [H⁺] = 1×10⁻4 mol/L.

   Formula:pH of a Solution

   $pH = -\log_{10}[H^{+}]$

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7. 7.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 10?

   Formula:Probability (two dice)

   $P = \dfrac{\text{favourable}}{\text{total}}$

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8. 8.

   Chemistry

   Find the molarity of a solution containing 1 mol of solute in 1 L of solution.

   Formula:Molarity

   $M = \dfrac{n}{V}$

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9. 9.

   Physics

   Calculate the potential energy of a 16 kg object at a height of 17 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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10. 10.

    Biology

    Under a microscope, an object of actual size 2.7 mm appears 45.9 mm. Find the magnification.

    Formula:Microscope Magnification

    $M = \dfrac{\text{image size}}{\text{actual size}}$

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11. 11.

    Chemistry

    A solution is made by dissolving 21 g of solute in 59 g of solvent. Find the mass percentage of the solute.

    Formula:Mass Percentage

    $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

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12. 12.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.1. Find the dominant allele frequency p and the percentage of heterozygous carriers.

    Formula:Hardy–Weinberg Equilibrium

    $p + q = 1,\;\; 2pq = \text{carriers}$

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13. 13.

    Biology

    Under a microscope, an object of actual size 2.7 mm appears 205.2 mm. Find the magnification.

    Formula:Microscope Magnification

    $M = \dfrac{\text{image size}}{\text{actual size}}$

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14. 14.

    Biology

    In a monohybrid cross (Aa × Aa) producing 108 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

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15. 15.

    Physics

    Find the density of an object with mass 498 g and volume 37 cm³.

    Formula:Density

    $\rho = \dfrac{m}{V}$

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16. 16.

    Physics

    Find the voltage across a 42 Ω resistor carrying a current of 17 A.

    Formula:Ohm's Law

    $V = IR$

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17. 17.

    Physics

    An object starts at 13 m/s and accelerates at 6 m/s² for 2 s. Find its final velocity.

    Formula:Equation of Motion (v = u + at)

    $v = u + at$

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18. 18.

    Biology

    In a monohybrid cross (Aa × Aa) producing 132 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

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19. 19.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 8?

    Formula:Probability (two dice)

    $P = \dfrac{\text{favourable}}{\text{total}}$

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20. 20.

    Biology

    In a monohybrid cross (Aa × Aa) producing 188 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

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