NEET / AIIMS · Practice Sheet 19

1. 1.

   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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2. 2.

   Physics

   Find the force required to accelerate a 10 kg mass at 17 m/s².

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

   $F = ma$

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3. 3.

   Physics

   A constant force of 90 N moves an object 35 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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4. 4.

   Biology

   Calculate the BMI of a person weighing 98 kg with height 1.58 m.

   Formula:Body Mass Index

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

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5. 5.

   Physics

   A body moving at 1 m/s accelerates at 5 m/s² for 8 s. Find the distance travelled.

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

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

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6. 6.

   Physics

   Calculate the potential energy of a 41 kg object at a height of 25 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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7. 7.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 6?

   Formula:Probability (two dice)

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

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8. 8.

   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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9. 9.

   Physics

   A force of 309 N acts on an area of 21 m². Find the pressure.

   Formula:Pressure

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

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10. 10.

    Biology

    Under a microscope, an object of actual size 2.7 mm appears 32.4 mm. Find the magnification.

    Formula:Microscope Magnification

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

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11. 11.

    Chemistry

    How many moles are present in 270 g of glucose (C₆H₁₂O₆) (molar mass = 180 g/mol)?

    Formula:Number of Moles

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

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12. 12.

    Quantitative Aptitude

    A vehicle covers 280 km in 4 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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13. 13.

    Physics

    Find the kinetic energy of a 4 kg object moving at 23 m/s.

    Formula:Kinetic Energy

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

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14. 14.

    Physics

    A body moving at 3 m/s accelerates at 7 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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15. 15.

    Physics

    Find the force required to accelerate a 36 kg mass at 12 m/s².

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

    $F = ma$

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16. 16.

    Chemistry

    Find the pressure of 2 mol of an ideal gas at 251 K in a 11 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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17. 17.

    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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18. 18.

    Physics

    Calculate the potential energy of a 36 kg object at a height of 34 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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19. 19.

    Biology

    Calculate the BMI of a person weighing 81 kg with height 1.52 m.

    Formula:Body Mass Index

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

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20. 20.

    Physics

    A body moving at 9 m/s accelerates at 1 m/s² for 7 s. Find the distance travelled.

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

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

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