NEET / AIIMS · Practice Sheet 8

1. 1.

   Biology

   Calculate the BMI of a person weighing 100 kg with height 1.81 m.

   Formula:Body Mass Index

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

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2. 2.

   Chemistry

   88 mL of a 10 M solution is diluted to 266 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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3. 3.

   Chemistry

   A solution is made by dissolving 42 g of solute in 184 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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4. 4.

   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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5. 5.

   Physics

   A constant force of 76 N moves an object 24 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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6. 6.

   Chemistry

   90 mL of a 2 M solution is diluted to 473 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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7. 7.

   Physics

   Find the momentum of a 17 kg body moving at 21 m/s.

   Formula:Linear Momentum

   $p = mv$

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8. 8.

   Physics

   Find the force required to accelerate a 6 kg mass at 17 m/s².

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

   $F = ma$

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9. 9.

   Physics

   A constant force of 172 N moves an object 36 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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10. 10.

    Chemistry

    Find the molarity of a solution containing 2.5 mol of solute in 0.5 L of solution.

    Formula:Molarity

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

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11. 11.

    Chemistry

    Find the pressure of 2 mol of an ideal gas at 225 K in a 5 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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12. 12.

    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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13. 13.

    Physics

    Find the kinetic energy of a 7 kg object moving at 17 m/s.

    Formula:Kinetic Energy

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

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14. 14.

    Chemistry

    Find the pressure of 5 mol of an ideal gas at 375 K in a 8 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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15. 15.

    Physics

    An object starts at 0 m/s and accelerates at 3 m/s² for 3 s. Find its final velocity.

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

    $v = u + at$

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16. 16.

    Physics

    If 1,014 J of work is done in 50 s, find the power.

    Formula:Power

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

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17. 17.

    Physics

    Find the force required to accelerate a 25 kg mass at 16 m/s².

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

    $F = ma$

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18. 18.

    Chemistry

    A solution is made by dissolving 5 g of solute in 184 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

    A constant force of 116 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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20. 20.

    Physics

    An object starts at 4 m/s and accelerates at 5 m/s² for 4 s. Find its final velocity.

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

    $v = u + at$

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