NEET / AIIMS · Practice Sheet 43

1. 1.

   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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2. 2.

   Quantitative Aptitude

   A vehicle covers 360 km in 9 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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3. 3.

   Physics

   Find the electrical power when 156 V drives a current of 18 A.

   Formula:Electrical Power

   $P = VI$

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4. 4.

   Chemistry

   A solution is made by dissolving 12 g of solute in 157 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

   Calculate the potential energy of a 11 kg object at a height of 29 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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6. 6.

   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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7. 7.

   Physics

   If 498 J of work is done in 44 s, find the power.

   Formula:Power

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

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8. 8.

   Physics

   Find the electrical power when 15 V drives a current of 9 A.

   Formula:Electrical Power

   $P = VI$

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9. 9.

   Physics

   A force of 211 N acts on an area of 43 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 0.3 mm appears 30 mm. Find the magnification.

    Formula:Microscope Magnification

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

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11. 11.

    Physics

    A body moving at 2 m/s accelerates at 5 m/s² for 2 s. Find the distance travelled.

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

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

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12. 12.

    Physics

    Find the kinetic energy of a 8 kg object moving at 20 m/s.

    Formula:Kinetic Energy

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

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13. 13.

    Physics

    A constant force of 107 N moves an object 48 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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14. 14.

    Chemistry

    Find the pressure of 5 mol of an ideal gas at 355 K in a 15 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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15. 15.

    Physics

    A force of 945 N acts on an area of 25 m². Find the pressure.

    Formula:Pressure

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

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16. 16.

    Physics

    A constant force of 174 N moves an object 46 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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17. 17.

    Chemistry

    69 mL of a 2 M solution is diluted to 238 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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18. 18.

    Physics

    If 2,803 J of work is done in 15 s, find the power.

    Formula:Power

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

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19. 19.

    Physics

    A constant force of 192 N moves an object 25 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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20. 20.

    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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