NEET / AIIMS · Practice Sheet 3

1. 1.

   Physics

   A force of 412 N acts on an area of 22 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

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2. 2.

   Chemistry

   How many moles are present in 450 g of glucose (C₆H₁₂O₆) (molar mass = 180 g/mol)?

   Formula:Number of Moles

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

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3. 3.

   Chemistry

   Find the pH of a solution with [H⁺] = 1×10⁻6 mol/L.

   Formula:pH of a Solution

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

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4. 4.

   Physics

   If 4,758 J of work is done in 41 s, find the power.

   Formula:Power

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

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5. 5.

   Biology

   In a monohybrid cross (Aa × Aa) producing 96 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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6. 6.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 203 K in a 4 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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7. 7.

   Physics

   Find the density of an object with mass 257 g and volume 4 cm³.

   Formula:Density

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

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8. 8.

   Biology

   Under a microscope, an object of actual size 4.6 mm appears 78.2 mm. Find the magnification.

   Formula:Microscope Magnification

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

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9. 9.

   Chemistry

   Find the molarity of a solution containing 0.5 mol of solute in 0.5 L of solution.

   Formula:Molarity

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

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10. 10.

    Quantitative Aptitude

    A vehicle covers 400 km in 8 hours. Find its average speed.

    Formula:Speed, Distance & Time

    $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

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11. 11.

    Biology

    Under a microscope, an object of actual size 4.9 mm appears 352.8 mm. Find the magnification.

    Formula:Microscope Magnification

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

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12. 12.

    Biology

    Calculate the BMI of a person weighing 49 kg with height 1.66 m.

    Formula:Body Mass Index

    $BMI = \dfrac{m}{h^{2}}$

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13. 13.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.3. 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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14. 14.

    Physics

    A force of 388 N acts on an area of 6 m². Find the pressure.

    Formula:Pressure

    $P = \dfrac{F}{A}$

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15. 15.

    Biology

    Calculate the BMI of a person weighing 81 kg with height 1.81 m.

    Formula:Body Mass Index

    $BMI = \dfrac{m}{h^{2}}$

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16. 16.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.5. 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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17. 17.

    Physics

    An object starts at 2 m/s and accelerates at 2 m/s² for 7 s. Find its final velocity.

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

    $v = u + at$

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18. 18.

    Physics

    A body moving at 15 m/s accelerates at 8 m/s² for 3 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

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19. 19.

    Quantitative Aptitude

    A vehicle covers 228 km in 6 hours. Find its average speed.

    Formula:Speed, Distance & Time

    $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

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20. 20.

    Chemistry

    Find the molarity of a solution containing 1.5 mol of solute in 4 L of solution.

    Formula:Molarity

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

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