IIT-JEE · Practice Sheet 11

1. 1.

   Physics

   Find the voltage across a 37 Ω resistor carrying a current of 17 A.

   Formula:Ohm's Law

   $V = IR$

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2. 2.

   Physics

   A force of 94 N acts on an area of 26 m². Find the pressure.

   Formula:Pressure

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

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3. 3.

   Quantitative Aptitude

   In how many ways can 4 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 4.)

   Formula:Combinations

   $^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$

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4. 4.

   Chemistry

   Find the pressure of 3 mol of an ideal gas at 380 K in a 18 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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5. 5.

   Mathematics

   Evaluate log base 3 of 27.

   Formula:Logarithm Evaluation

   $\log_{b}(b^{k}) = k$

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6. 6.

   Physics

   Find the momentum of a 45 kg body moving at 16 m/s.

   Formula:Linear Momentum

   $p = mv$

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7. 7.

   Quantitative Aptitude

   A vehicle covers 355 km in 5 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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8. 8.

   Chemistry

   Find the molarity of a solution containing 2.5 mol of solute in 0.5 L of solution.

   Formula:Molarity

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

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9. 9.

   Mathematics

   In an arithmetic progression with first term 6 and common difference 10, find term number 22.

   Formula:AP nth Term

   $a_n = a + (n-1)d$

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10. 10.

    Physics

    An object starts at 2 m/s and accelerates at 10 m/s² for 7 s. Find its final velocity.

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

    $v = u + at$

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11. 11.

    Physics

    A body moving at 9 m/s accelerates at 1 m/s² for 8 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.

    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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13. 13.

    Chemistry

    92 mL of a 10 M solution is diluted to 232 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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14. 14.

    Mathematics

    Find the slope of the line through (8, 8) and (-6, 3).

    Formula:Slope of a Line

    $m = \dfrac{y_2-y_1}{x_2-x_1}$

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15. 15.

    Mathematics

    Find the sum of the first 14 terms of an AP with first term 16 and common difference 5.

    Formula:AP Sum of n Terms

    $S_n = \dfrac{n}{2}\,[2a+(n-1)d]$

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16. 16.

    Physics

    Calculate the potential energy of a 39 kg object at a height of 46 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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17. 17.

    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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18. 18.

    Mathematics

    Find the slope of the line through (0, 2) and (-8, -3).

    Formula:Slope of a Line

    $m = \dfrac{y_2-y_1}{x_2-x_1}$

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19. 19.

    Physics

    An object starts at 17 m/s and accelerates at 4 m/s² for 12 s. Find its final velocity.

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

    $v = u + at$

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20. 20.

    Physics

    Find the electrical power when 60 V drives a current of 20 A.

    Formula:Electrical Power

    $P = VI$

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