NEET / AIIMS · Practice Sheet 22

1. 1.

   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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2. 2.

   Physics

   Find the momentum of a 45 kg body moving at 40 m/s.

   Formula:Linear Momentum

   $p = mv$

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3. 3.

   Chemistry

   Find the molarity of a solution containing 1 mol of solute in 0.5 L of solution.

   Formula:Molarity

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

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4. 4.

   Chemistry

   A solution is made by dissolving 41 g of solute in 108 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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5. 5.

   Physics

   A force of 416 N acts on an area of 29 m². Find the pressure.

   Formula:Pressure

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

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6. 6.

   Physics

   Find the voltage across a 9 Ω resistor carrying a current of 2 A.

   Formula:Ohm's Law

   $V = IR$

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7. 7.

   Physics

   A force of 995 N acts on an area of 47 m². Find the pressure.

   Formula:Pressure

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

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8. 8.

   Physics

   Find the kinetic energy of a 16 kg object moving at 28 m/s.

   Formula:Kinetic Energy

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

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9. 9.

   Physics

   Calculate the potential energy of a 35 kg object at a height of 8 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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10. 10.

    Physics

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

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

    $F = ma$

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11. 11.

    Physics

    If 2,863 J of work is done in 14 s, find the power.

    Formula:Power

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

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12. 12.

    Physics

    Find the voltage across a 35 Ω resistor carrying a current of 8 A.

    Formula:Ohm's Law

    $V = IR$

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13. 13.

    Physics

    If 3,516 J of work is done in 47 s, find the power.

    Formula:Power

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

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14. 14.

    Chemistry

    Find the molarity of a solution containing 1 mol of solute in 2.5 L of solution.

    Formula:Molarity

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

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15. 15.

    Physics

    A force of 993 N acts on an area of 20 m². Find the pressure.

    Formula:Pressure

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

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16. 16.

    Biology

    Under a microscope, an object of actual size 0.3 mm appears 14.7 mm. Find the magnification.

    Formula:Microscope Magnification

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

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17. 17.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 9?

    Formula:Probability (two dice)

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

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18. 18.

    Biology

    Calculate the BMI of a person weighing 76 kg with height 1.69 m.

    Formula:Body Mass Index

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

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19. 19.

    Physics

    A force of 184 N acts on an area of 5 m². Find the pressure.

    Formula:Pressure

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

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20. 20.

    Biology

    Under a microscope, an object of actual size 3.7 mm appears 299.7 mm. Find the magnification.

    Formula:Microscope Magnification

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

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