NEET / AIIMS · Practice Sheet 49

1. 1.

   Chemistry

   98 mL of a 10 M solution is diluted to 294 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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2. 2.

   Physics

   If 2,135 J of work is done in 40 s, find the power.

   Formula:Power

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

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3. 3.

   Physics

   Find the electrical power when 230 V drives a current of 17 A.

   Formula:Electrical Power

   $P = VI$

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4. 4.

   Physics

   A body moving at 14 m/s accelerates at 2 m/s² for 9 s. Find the distance travelled.

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

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

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5. 5.

   Physics

   Calculate the potential energy of a 14 kg object at a height of 15 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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6. 6.

   Physics

   Find the force required to accelerate a 27 kg mass at 18 m/s².

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

   $F = ma$

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7. 7.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.5. 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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8. 8.

   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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9. 9.

   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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10. 10.

    Physics

    If 2,985 J of work is done in 26 s, find the power.

    Formula:Power

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

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11. 11.

    Physics

    Find the voltage across a 44 Ω resistor carrying a current of 7 A.

    Formula:Ohm's Law

    $V = IR$

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12. 12.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 374 K in a 16 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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13. 13.

    Physics

    A body moving at 14 m/s accelerates at 2 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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14. 14.

    Physics

    Find the momentum of a 20 kg body moving at 5 m/s.

    Formula:Linear Momentum

    $p = mv$

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15. 15.

    Chemistry

    Find the molarity of a solution containing 1.5 mol of solute in 1 L of solution.

    Formula:Molarity

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

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16. 16.

    Quantitative Aptitude

    A vehicle covers 414 km in 9 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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17. 17.

    Physics

    If 3,998 J of work is done in 10 s, find the power.

    Formula:Power

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

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18. 18.

    Physics

    A constant force of 53 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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19. 19.

    Physics

    If 2,776 J of work is done in 28 s, find the power.

    Formula:Power

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

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20. 20.

    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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