Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Calorimetry

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Calorimetry

A brick having a mass of 4.0 kg is dropped from a height of 2.0 m...

A brick having a mass of 4.0 kg4.0 \text{ kg} is dropped from a height of 2.0 m2.0 \text{ m} into a river that is 1.0 m1.0 \text{ m} deep. Assuming 80%80\% of the gravitational potential energy is ultimately transformed into thermal energy, determine this thermal energy in calories.

Options

  1. A2323
  2. B1919
  3. C2929
  4. D1515

Correct answer

A. 2323

Step-by-step solution

Total height fallen by the brick is h=2.0+1.0=3.0 mh = 2.0 + 1.0 = 3.0 \text{ m}

Loss in gravitational potential energy is ΔU=mgh\Delta U = mgh

Taking g=10 m/s2g = 10 \text{ m/s}^2, we get ΔU=4.0×10×3.0=120 J\Delta U = 4.0 \times 10 \times 3.0 = 120 \text{ J}

Thermal energy produced is 80%80\% of the loss in potential energy

E=0.80×120=96 JE = 0.80 \times 120 = 96 \text{ J}

Converting joules to calories using 1 cal≈4.2 J1 \text{ cal} \approx 4.2 \text{ J}

E=964.2≈22.85 calE = \dfrac{96}{4.2} \approx 22.85 \text{ cal}

The closest value among the options is 23 cal23 \text{ cal}
Practice Calorimetry on Quantrex Academy →

More from Calorimetry

An iron cube (density = 8000 kg m^ -3 , specific heat capacity = 470 J kg^ -1 K^ -1 ) is… Concepts Of Physics MCQ Edition [Volume 2]A traditional method of cooling drinking water is to keep it in a pitcher having porous… Concepts Of Physics MCQ Edition [Volume 2]An iron piece of mass 100 g is placed inside a furnace for a long duration and… Concepts Of Physics MCQ Edition [Volume 2]Four 2 cm × 2 cm × 2 cm cubes of ice are removed from a refrigerator and placed in 200 ml… Concepts Of Physics MCQ Edition [Volume 2]Four 2 cm × 2 cm × 2 cm cubes of ice are removed from a refrigerator and placed in 200 ml… Concepts Of Physics MCQ Edition [Volume 2]A mass of 1 kg of ice at 0^ ^ ^ ∘ C is mixed with 1 kg of steam at 100^ ^ ^ ∘ C .… Concepts Of Physics MCQ Edition [Volume 2]An aluminium vessel of mass 0.5 kg holds 0.2 kg of water at 20^ ^ ^ ∘ C . A block of iron… Concepts Of Physics MCQ Edition [Volume 2]Determine the time required to heat 20 kg of water from 10^ ^ ^ ∘ C to 35^ ^ ^ ∘ C using… Concepts Of Physics MCQ Edition [Volume 2] Full Calorimetry list All Concepts Of Physics MCQ Edition [Volume 2] PYQs