AP EAMCET2004PhysicsThermal Properties of Matter
A black body of mass 34.38 ~g and surface area 19.2 ~cm ^2 is at an initial temperature of 400 ~K . It is allowed to cool inside an evacuated enclosure kept at constant temperature 300 ~K . The rate of cooling is 0.04^ C per second. The specific heat of the body in J kg ⁻¹ ~K ⁻¹ is (Stefan's constant =5.73 10⁻⁸ Wm ⁻² ~K ⁻⁴
Options
- A2800
- B2100
- C1400
- D1200
Correct answer
C. 1400
Step-by-step solution
d d t = A (T^4-T₀^4 ) m s Specific heat s= A (T^4-T₀^4 ) m ( d d t ) Substituting the values aligned & s= (5.73 10⁻⁸ ) (19.2 10⁻⁴ ) [(4)^4-(3)^4 ] 10^8 (34.38 10⁻³ ) (4 10⁻² ) & s=1400 & aligned