MCAT · Practice Sheet 31

1. 1.

   Biology

   In a monohybrid cross (Aa × Aa) producing 80 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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2. 2.

   Physics

   If 4,623 J of work is done in 9 s, find the power.

   Formula:Power

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

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3. 3.

   Physics

   Find the momentum of a 20 kg body moving at 22 m/s.

   Formula:Linear Momentum

   $p = mv$

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4. 4.

   Chemistry

   Find the pressure of 5 mol of an ideal gas at 322 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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5. 5.

   Chemistry

   Find the pH of a solution with [H⁺] = 5×10⁻3 mol/L.

   Formula:pH of a Solution

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

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6. 6.

   Chemistry

   Find the molarity of a solution containing 3 mol of solute in 4 L of solution.

   Formula:Molarity

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

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7. 7.

   Physics

   Find the kinetic energy of a 2 kg object moving at 23 m/s.

   Formula:Kinetic Energy

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

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8. 8.

   Physics

   Calculate the potential energy of a 20 kg object at a height of 23 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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9. 9.

   Biology

   In a monohybrid cross (Aa × Aa) producing 92 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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10. 10.

    Chemistry

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

    Formula:pH of a Solution

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

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11. 11.

    Physics

    Find the electrical power when 48 V drives a current of 2 A.

    Formula:Electrical Power

    $P = VI$

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12. 12.

    Physics

    Find the density of an object with mass 236 g and volume 4 cm³.

    Formula:Density

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

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13. 13.

    Physics

    A projectile is launched at 13 m/s at 45° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range

    $R = \dfrac{u^{2}\sin 2\theta}{g}$

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14. 14.

    Biology

    Under a microscope, an object of actual size 2.7 mm appears 261.9 mm. Find the magnification.

    Formula:Microscope Magnification

    $M = \dfrac{\text{image size}}{\text{actual size}}$

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15. 15.

    Physics

    An object starts at 8 m/s and accelerates at 9 m/s² for 5 s. Find its final velocity.

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

    $v = u + at$

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16. 16.

    Physics

    A constant force of 135 N moves an object 38 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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17. 17.

    Physics

    Find the electrical power when 131 V drives a current of 19 A.

    Formula:Electrical Power

    $P = VI$

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18. 18.

    Biology

    Calculate the BMI of a person weighing 46 kg with height 1.53 m.

    Formula:Body Mass Index

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

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19. 19.

    Chemistry

    51 mL of a 10 M solution is diluted to 192 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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20. 20.

    Physics

    Find the electrical power when 73 V drives a current of 5 A.

    Formula:Electrical Power

    $P = VI$

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