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JEE Advanced Unit 2A: Newton's Laws and Translational Equilibrium — practice questions — page 2

Explore 92 free Unit 2A: Newton's Laws and Translational Equilibrium questions in JEE Advanced Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 2A: Newton's Laws and Translational Equilibrium questions and exercises with answers

Showing questions 31–60 of 92.

Density of mercury 13.6 × 10³ kg/m³. Atmospheric pressure equivalent in mercury column:Read the answer and worked solution →Hydraulic press: small piston area 5 cm², large piston area 50 cm². Force on small piston 20 N. Force on large:Read the answer and worked solution →Velocity of efflux from small hole at depth h below free surface (Torricelli's law):Read the answer and worked solution →Water flows through pipe area A₁ = 4 cm² at 2 m/s, narrows to A₂ = 1 cm². Velocity at narrow section:Read the answer and worked solution →Drop of radius R splits into 8 drops of equal size. Each new radius:Read the answer and worked solution →Excess pressure inside soap bubble of radius 2 cm (γ = 0.025 N/m):Read the answer and worked solution →Water (γ = 0.072 N/m, ρ = 1000 kg/m³) rises in capillary 1 mm diameter (assume θ = 0):Read the answer and worked solution →For elastic potential energy in stretched wire: F × ΔL / 2. Also equals:Read the answer and worked solution →For ideal fluid, viscosity:Read the answer and worked solution →Pressure at depth h in liquid column under atmospheric pressure P₀:Read the answer and worked solution →For thin spherical shell of water (radius R, thickness t), volume of water:Read the answer and worked solution →For dynamic surface tension in oil drop slowly forming at tip of pipette, drop falls when:Read the answer and worked solution →Compressibility (1/B) of water at standard conditions:Read the answer and worked solution →SI base unit of length:Read the answer and worked solution →Dimension of force:Read the answer and worked solution →Dimension of energy:Read the answer and worked solution →Dimensions of pressure:Read the answer and worked solution →Significant figures in 0.00302:Read the answer and worked solution →Dimension of universal gravitational constant G:Read the answer and worked solution →Dimension of Planck's constant h:Read the answer and worked solution →Dimension of electric field E:Read the answer and worked solution →Order of magnitude of 4567:Read the answer and worked solution →Relative error of measurement 5.00 ± 0.05 cm:Read the answer and worked solution →Dimensions of frequency:Read the answer and worked solution →Quantity having same dimensions as Planck's constant:Read the answer and worked solution →Avogadro number N_A is:Read the answer and worked solution →Dimensional formula of moment of inertia:Read the answer and worked solution →Error in product Q = A × B with relative errors a and b:Read the answer and worked solution →For Q = A²/B, fractional error:Read the answer and worked solution →Screw gauge: pitch 0.5 mm, 50 divisions on circular scale. Least count:Read the answer and worked solution →

Worked practice questions

Density of mercury 13.6 × 10³ kg/m³. Atmospheric pressure equivalent in mercury column:

  1. 100 cm
  2. 76 cm
  3. Cannot determine
  4. 760 mm (≈ 1 atm)
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Correct answer: D. 760 mm (≈ 1 atm)

P_atm ≈ 1.013 × 10⁵ Pa. We have h = P/(ρg). That is h = 1.013e5/(13.6e3 × 9.8) ≈ 0.76 m. So h = 760 mm. Standard barometric height.

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Hydraulic press: small piston area 5 cm², large piston area 50 cm². Force on small piston 20 N. Force on large:

  1. 20 N
  2. 2 N
  3. 200 N (F₂ = F₁ × A₂/A₁)
  4. 2000 N
Show answer and solution

Correct answer: C. 200 N (F₂ = F₁ × A₂/A₁)

Pascal's law: F₁/A₁ = F₂/A₂ → F₂ = 20 × (50/5) = 200 N. 10× force amplification.

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Velocity of efflux from small hole at depth h below free surface (Torricelli's law):

  1. v = gh
  2. v = sqrt(2gh)
  3. v = 2gh
  4. v = sqrt(gh)
Show answer and solution

Correct answer: B. v = sqrt(2gh)

From Bernoulli (P_atm both sides, neglect surface motion): (1/2)v² = gh → v = sqrt(2gh). Same speed as free fall from height h.

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