NEET / AIIMS · Practice Sheet 4

1. 1.

   Physics

   Find the voltage across a 27 Ω resistor carrying a current of 20 A.

   Formula:Ohm's Law

   $V = IR$

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2. 2.

   Physics

   Find the density of an object with mass 441 g and volume 32 cm³.

   Formula:Density

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

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3. 3.

   Chemistry

   Find the molarity of a solution containing 2.5 mol of solute in 4 L of solution.

   Formula:Molarity

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

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4. 4.

   Physics

   Find the momentum of a 24 kg body moving at 36 m/s.

   Formula:Linear Momentum

   $p = mv$

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5. 5.

   Chemistry

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

   Formula:Molarity

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

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6. 6.

   Physics

   Find the force required to accelerate a 24 kg mass at 12 m/s².

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

   $F = ma$

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7. 7.

   Physics

   An object starts at 18 m/s and accelerates at 5 m/s² for 5 s. Find its final velocity.

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

   $v = u + at$

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8. 8.

   Biology

   Calculate the BMI of a person weighing 55 kg with height 1.84 m.

   Formula:Body Mass Index

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

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9. 9.

   Chemistry

   A solution is made by dissolving 20 g of solute in 158 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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10. 10.

    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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11. 11.

    Physics

    A constant force of 124 N moves an object 34 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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12. 12.

    Physics

    Find the electrical power when 232 V drives a current of 6 A.

    Formula:Electrical Power

    $P = VI$

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13. 13.

    Biology

    Calculate the BMI of a person weighing 60 kg with height 1.79 m.

    Formula:Body Mass Index

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

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14. 14.

    Chemistry

    33 mL of a 5 M solution is diluted to 146 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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15. 15.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 7?

    Formula:Probability (two dice)

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

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16. 16.

    Quantitative Aptitude

    A vehicle covers 440 km in 5 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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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.

    Physics

    Find the momentum of a 44 kg body moving at 2 m/s.

    Formula:Linear Momentum

    $p = mv$

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19. 19.

    Biology

    Calculate the BMI of a person weighing 59 kg with height 1.66 m.

    Formula:Body Mass Index

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

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20. 20.

    Physics

    Calculate the potential energy of a 33 kg object at a height of 41 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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