NEET / AIIMS · Practice Sheet 48

1. 1.

   Physics

   An object starts at 14 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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2. 2.

   Physics

   Calculate the potential energy of a 23 kg object at a height of 27 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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3. 3.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 4?

   Formula:Probability (two dice)

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

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4. 4.

   Physics

   Find the momentum of a 38 kg body moving at 6 m/s.

   Formula:Linear Momentum

   $p = mv$

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5. 5.

   Chemistry

   Find the pH of a solution with [H⁺] = 2×10⁻4 mol/L.

   Formula:pH of a Solution

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

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6. 6.

   Physics

   Find the momentum of a 34 kg body moving at 4 m/s.

   Formula:Linear Momentum

   $p = mv$

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7. 7.

   Physics

   Find the force required to accelerate a 33 kg mass at 7 m/s².

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

   $F = ma$

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8. 8.

   Chemistry

   A solution is made by dissolving 5 g of solute in 101 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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9. 9.

   Physics

   Calculate the potential energy of a 8 kg object at a height of 31 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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10. 10.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 267 K in a 12 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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11. 11.

    Physics

    Find the density of an object with mass 236 g and volume 43 cm³.

    Formula:Density

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

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12. 12.

    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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13. 13.

    Biology

    In a monohybrid cross (Aa × Aa) producing 180 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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14. 14.

    Chemistry

    Find the molarity of a solution containing 3 mol of solute in 2 L of solution.

    Formula:Molarity

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

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15. 15.

    Physics

    Calculate the potential energy of a 50 kg object at a height of 49 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.

    Chemistry

    How many moles are present in 18 g of water (H₂O) (molar mass = 18 g/mol)?

    Formula:Number of Moles

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

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18. 18.

    Chemistry

    A solution is made by dissolving 27 g of solute in 164 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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19. 19.

    Physics

    Find the density of an object with mass 218 g and volume 2 cm³.

    Formula:Density

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

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20. 20.

    Physics

    Find the momentum of a 31 kg body moving at 2 m/s.

    Formula:Linear Momentum

    $p = mv$

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