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JEE Main Mechanical Properties of Solids and Fluids — practice questions

Explore 127 free Mechanical Properties of Solids and Fluids questions in JEE Main Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Mechanical Properties of Solids and Fluids questions and exercises with answers

Showing questions 1–30 of 127.

A block of mass 5 kg on a rough incline at 37° with μ_k = 0.4. Acceleration down (g = 10, sin 37° = 0.6, cos 37° = 0.8):Read the answer and worked solution →For a body on a 60° incline with μ = 0.5, the body:Read the answer and worked solution →An object's WEIGHT on Earth (g = 10) is 50 N. Its MASS is:Read the answer and worked solution →A 5 kg block is pushed with 30 N along a frictionless surface. Acceleration:Read the answer and worked solution →A massless pulley system has two blocks: m₁ = 6 kg and m₂ = 4 kg hanging on either side. Find acceleration of system (g = 10):Read the answer and worked solution →The angle of repose between a block and an incline is 30°. The coefficient of static friction is:Read the answer and worked solution →A 100 g object is moving in a vertical circle. At the TOP of the loop, for minimum speed (string just slack), v_min equals:Read the answer and worked solution →Limiting (max static) friction is INDEPENDENT of:Read the answer and worked solution →A 4 kg mass hangs from a spring scale in an elevator. Spring reads 32 N. The elevator is:Read the answer and worked solution →A 3 kg block is pulled with F = 20 N at 30° above horizontal on rough surface (μ_k = 0.4). Find acceleration (g = 10, sin 30° = 0.5, cos 30° = 0.866):Read the answer and worked solution →In a uniform circular motion, the SPEED is constant but velocity changes direction. The acceleration:Read the answer and worked solution →A car turns a corner of radius 50 m at 20 m/s. Minimum coefficient of friction needed (g = 10):Read the answer and worked solution →A 50 kg person stands on a scale in an elevator accelerating UP at 2 m/s². Scale reading:Read the answer and worked solution →Which of the following is the correct definition of **stress** in a deformed body?Read the answer and worked solution →A material that returns to its original shape once the deforming force is removed is said to beRead the answer and worked solution →The SI unit of Young's modulus isRead the answer and worked solution →On the stress-strain curve of a ductile material, the **proportional limit** is the point up to whichRead the answer and worked solution →A uniform pressure $P$ is applied isotropically to a solid sphere of bulk modulus $K$. The fractional change in volume isRead the answer and worked solution →The Poisson's ratio of a material is defined asRead the answer and worked solution →The theoretical range of Poisson's ratio for an isotropic material isRead the answer and worked solution →The elastic potential energy stored per unit volume in a stretched wire (within the elastic limit) isRead the answer and worked solution →As per your syllabus, an ISOLATED system is exemplified by which container?Read the answer and worked solution →As per your syllabus, for an ADIABATIC process (no heat exchange, q = 0), the first law reduces to which form?Read the answer and worked solution →As per your syllabus, + eqn 5.7, the ENTHALPY H is defined as which quantity?Read the answer and worked solution →As per your syllabus, for vaporisation of 1 mol of water at 100 °C and 1 bar, given ΔH = 41 kJ/mol, what is ΔU? (R = 8.3 J/mol K)Read the answer and worked solution →As per your syllabus, Δ_f H° of methane CH₄(g) is which value?Read the answer and worked solution →As per your syllabus, the standard enthalpy of combustion of GLUCOSE (C₆H₁₂O₆) is which?Read the answer and worked solution →As per your syllabus, in CH₄ atomisation requires 1665 kJ/mol. What is the MEAN C-H bond enthalpy?Read the answer and worked solution →As per your syllabus, the bond enthalpy of N≡N triple bond is which value — among the highest known for diatomics?Read the answer and worked solution →As per your syllabus, the Δ_f H° of C(diamond) is which value (note: NOT zero, because graphite — not diamond — is the reference state of carbon)?Read the answer and worked solution →

Worked practice questions

A block of mass 5 kg on a rough incline at 37° with μ_k = 0.4. Acceleration down (g = 10, sin 37° = 0.6, cos 37° = 0.8):

  1. 2 m/s²
  2. 2.8 m/s²
  3. 4 m/s²
  4. 6 m/s²
Show answer and solution

Correct answer: B. 2.8 m/s²

Net force down: F = mg sin θ - μ_k mg cos θ = mg(sin θ - μ_k cos θ) = 5 × 10 × (0.6 - 0.4 × 0.8) = 50 × (0.6 - 0.32) = 50 × 0.28 = 14 N. a = F/m = 14/5 = 2.8 m/s².

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For a body on a 60° incline with μ = 0.5, the body:

  1. Stays at rest (μ ≥ tan 60° required to hold)
  2. Slides down (tan 60° > μ = 0.5)
  3. Slides up
  4. Floats
Show answer and solution

Correct answer: B. Slides down (tan 60° > μ = 0.5)

For body to remain at rest, μ ≥ tan θ. tan 60° = √3 ≈ 1.73. Since μ = 0.5 < 1.73, friction is insufficient. Body slides down.

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An object's WEIGHT on Earth (g = 10) is 50 N. Its MASS is:

  1. 5 kg
  2. 50 kg
  3. 500 kg
  4. 5 N
Show answer and solution

Correct answer: A. 5 kg

We have W = mg → m. That is W = W/g. That is W = 50/10. So W = 5 kg. Mass is intrinsic; weight depends on local g.

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