NEET / AIIMS · Practice Sheet 12

1. 1.

   Physics

   Find the force required to accelerate a 9 kg mass at 14 m/s².

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

   $F = ma$

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2. 2.

   Chemistry

   Find the pressure of 5 mol of an ideal gas at 265 K in a 2 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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3. 3.

   Chemistry

   Find the pH of a solution with [H⁺] = 5×10⁻2 mol/L.

   Formula:pH of a Solution

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

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4. 4.

   Physics

   Find the force required to accelerate a 30 kg mass at 7 m/s².

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

   $F = ma$

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5. 5.

   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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6. 6.

   Physics

   A body moving at 13 m/s accelerates at 5 m/s² for 4 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

   A solution is made by dissolving 12 g of solute in 69 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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8. 8.

   Physics

   Find the kinetic energy of a 18 kg object moving at 22 m/s.

   Formula:Kinetic Energy

   $KE = \tfrac{1}{2}mv^{2}$

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9. 9.

   Physics

   An object starts at 6 m/s and accelerates at 4 m/s² for 6 s. Find its final velocity.

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

   $v = u + at$

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10. 10.

    Physics

    A force of 978 N acts on an area of 15 m². Find the pressure.

    Formula:Pressure

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

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11. 11.

    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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12. 12.

    Physics

    An object starts at 14 m/s and accelerates at 4 m/s² for 11 s. Find its final velocity.

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

    $v = u + at$

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13. 13.

    Physics

    Find the force required to accelerate a 38 kg mass at 16 m/s².

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

    $F = ma$

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14. 14.

    Physics

    An object starts at 10 m/s and accelerates at 7 m/s² for 10 s. Find its final velocity.

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

    $v = u + at$

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15. 15.

    Chemistry

    Find the molarity of a solution containing 1.5 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 197 g and volume 38 cm³.

    Formula:Density

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

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17. 17.

    Chemistry

    52 mL of a 10 M solution is diluted to 107 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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18. 18.

    Quantitative Aptitude

    A vehicle covers 568 km in 8 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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19. 19.

    Chemistry

    Find the pH of a solution with [H⁺] = 5×10⁻6 mol/L.

    Formula:pH of a Solution

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

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20. 20.

    Physics

    Find the density of an object with mass 492 g and volume 5 cm³.

    Formula:Density

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

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