NEET / AIIMS · Practice Sheet 30

1. 1.

   Chemistry

   23 mL of a 5 M solution is diluted to 250 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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2. 2.

   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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3. 3.

   Chemistry

   How many moles are present in 64 g of oxygen gas (O₂) (molar mass = 32 g/mol)?

   Formula:Number of Moles

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

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4. 4.

   Physics

   A constant force of 33 N moves an object 7 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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5. 5.

   Physics

   A force of 454 N acts on an area of 13 m². Find the pressure.

   Formula:Pressure

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

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6. 6.

   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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7. 7.

   Physics

   An object starts at 13 m/s and accelerates at 8 m/s² for 10 s. Find its final velocity.

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

   $v = u + at$

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8. 8.

   Physics

   A body moving at 7 m/s accelerates at 7 m/s² for 10 s. Find the distance travelled.

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

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

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9. 9.

   Physics

   Calculate the potential energy of a 47 kg object at a height of 42 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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10. 10.

    Physics

    Find the force required to accelerate a 46 kg mass at 12 m/s².

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

    $F = ma$

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11. 11.

    Chemistry

    How many moles are present in 50 g of calcium carbonate (CaCO₃) (molar mass = 100 g/mol)?

    Formula:Number of Moles

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

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12. 12.

    Chemistry

    Find the molarity of a solution containing 1 mol of solute in 2 L of solution.

    Formula:Molarity

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

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13. 13.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.2. 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.

    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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15. 15.

    Physics

    Calculate the potential energy of a 20 kg object at a height of 45 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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16. 16.

    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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17. 17.

    Physics

    Find the momentum of a 50 kg body moving at 40 m/s.

    Formula:Linear Momentum

    $p = mv$

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18. 18.

    Chemistry

    How many moles are present in 22 g of carbon dioxide (CO₂) (molar mass = 44 g/mol)?

    Formula:Number of Moles

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

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19. 19.

    Chemistry

    Find the pH of a solution with [H⁺] = 5×10⁻4 mol/L.

    Formula:pH of a Solution

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

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20. 20.

    Physics

    Calculate the potential energy of a 41 kg object at a height of 33 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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