NEET / AIIMS · Practice Sheet 32

1. 1.

   Physics

   A body moving at 10 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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2. 2.

   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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3. 3.

   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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4. 4.

   Chemistry

   Find the pressure of 1 mol of an ideal gas at 202 K in a 6 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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5. 5.

   Biology

   In a monohybrid cross (Aa × Aa) producing 60 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.

   Physics

   A body moving at 3 m/s accelerates at 7 m/s² for 6 s. Find the distance travelled.

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

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

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7. 7.

   Chemistry

   Find the pressure of 3 mol of an ideal gas at 206 K in a 9 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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8. 8.

   Chemistry

   48 mL of a 10 M solution is diluted to 259 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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9. 9.

   Biology

   Calculate the BMI of a person weighing 83 kg with height 1.64 m.

   Formula:Body Mass Index

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

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10. 10.

    Physics

    Calculate the potential energy of a 50 kg object at a height of 8 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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11. 11.

    Physics

    An object starts at 0 m/s and accelerates at 8 m/s² for 5 s. Find its final velocity.

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

    $v = u + at$

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12. 12.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 312 K in a 10 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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13. 13.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻2 mol/L.

    Formula:pH of a Solution

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

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14. 14.

    Physics

    Find the momentum of a 40 kg body moving at 8 m/s.

    Formula:Linear Momentum

    $p = mv$

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15. 15.

    Chemistry

    Find the molarity of a solution containing 2 mol of solute in 2.5 L of solution.

    Formula:Molarity

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

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16. 16.

    Physics

    Find the density of an object with mass 479 g and volume 50 cm³.

    Formula:Density

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

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17. 17.

    Physics

    Find the electrical power when 71 V drives a current of 13 A.

    Formula:Electrical Power

    $P = VI$

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18. 18.

    Physics

    Find the momentum of a 29 kg body moving at 25 m/s.

    Formula:Linear Momentum

    $p = mv$

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19. 19.

    Physics

    Find the force required to accelerate a 7 kg mass at 8 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

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20. 20.

    Physics

    A constant force of 59 N moves an object 31 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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