NEET / AIIMS · Practice Sheet 37

1. 1.

   Chemistry

   A solution is made by dissolving 47 g of solute in 144 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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2. 2.

   Physics

   Calculate the potential energy of a 39 kg object at a height of 3 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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3. 3.

   Physics

   An object starts at 16 m/s and accelerates at 3 m/s² for 9 s. Find its final velocity.

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

   $v = u + at$

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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

   Find the momentum of a 32 kg body moving at 31 m/s.

   Formula:Linear Momentum

   $p = mv$

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6. 6.

   Physics

   A force of 82 N acts on an area of 21 m². Find the pressure.

   Formula:Pressure

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

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7. 7.

   Physics

   If 4,963 J of work is done in 4 s, find the power.

   Formula:Power

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

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8. 8.

   Biology

   Under a microscope, an object of actual size 3 mm appears 48 mm. Find the magnification.

   Formula:Microscope Magnification

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

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9. 9.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 5?

   Formula:Probability (two dice)

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

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10. 10.

    Chemistry

    90 mL of a 1 M solution is diluted to 175 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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11. 11.

    Physics

    Find the density of an object with mass 216 g and volume 26 cm³.

    Formula:Density

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

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12. 12.

    Chemistry

    Find the pressure of 5 mol of an ideal gas at 323 K in a 6 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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13. 13.

    Physics

    Find the density of an object with mass 256 g and volume 4 cm³.

    Formula:Density

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

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14. 14.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻3 mol/L.

    Formula:pH of a Solution

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

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15. 15.

    Chemistry

    Find the pressure of 3 mol of an ideal gas at 296 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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16. 16.

    Physics

    A constant force of 37 N moves an object 15 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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17. 17.

    Quantitative Aptitude

    A vehicle covers 280 km in 7 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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18. 18.

    Chemistry

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

    Formula:pH of a Solution

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

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19. 19.

    Physics

    Find the kinetic energy of a 5 kg object moving at 5 m/s.

    Formula:Kinetic Energy

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

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20. 20.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 391 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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