Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Most Important Selected Qs for JEE AdvancedPhysicsThermal Properties of Matter

A 100 cm long cylindrical flask with inner and outer radius r₁=2 ~cm and r₂=4 ~cm respectively, is completely filled with ice at 0^ C as shown in the figure. The constant temperature outside (surrounding) the flask is 40^ C . Assume heat exchange occurs only through the curved surface of the flask. (Thermal conductivity of the flask is 0.693 ~W . m ^ C , L _ ice =80 cal / gm and .1 cal =4200 ~J ) .

Options

  1. ARate of heat flow from surrounding to the flask is 80 ~J / s .
  2. BThe rate at which ice melts is 4200 Kg / s .
  3. CThe rate at which ice melts is 100 Kg / s .
  4. DRate of heat flow from surrounding to the flask is 40 ~J / s .

Correct answer

B. The rate at which ice melts is 4200 Kg / s .

Step-by-step solution

aligned & H = K A d d r = K (2 rL ) d d r & H _ r₁ ^ r₂ d r r =2 K L ( ₂- ₁ )=80 & d m d t L=80 & d m d t = 8 L = 80 80 4200 = 4200 Kg / second. aligned

Practice Thermal Properties of Matter on Quantrex Academy →

More from Thermal Properties of Matter

As shown in the figure, an insulated container is fitted with a thermally conducting but immovable partition (P₁) and a freely movable but thermally insulated piston (P₂) . The par 2026The heat extracted out of x gram of water initially at 50°C to cool it down to 0°C is sufficient to evaporate (1000 - x) gram of water also initially at 50°C . The value of x (clos 2026The temperature of a metal strip having coefficient of linear expansion is increased from T₁ to T₂ resulting in increase of its length by L₁ . The temperature is further increased 2026Which of the following best represents the temperature versus heat supplied graph for water, in the range of -20^ C to 120^ C ? 202610 kg of ice at -10^ C is added to 100 kg of water to lower its temperature from 25 ^ C . Consider no heat exchange to surroundings. The decrement to the temperature of water is _ 2026A brass wire of length 2 m and radius 1 mm at 27^ C is held taut between two rigid supports. Initially it was cooled to a temperature of -43^ C creating a tension T in the wire. Th 2026Rods x and y of equal dimensions but of different materials are joined as shown in figure. Temperatures of end points A and F are maintained at 100^ C and 40^ C respectively. Given 2026An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at 30^ C . The coefficient of linear expansion of aluminium and steel a 2026 Full Thermal Properties of Matter list All Most Important Selected Qs for JEE Advanced PYQs