A black body of mass 34.38 g and surface are | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The rate of cooling of a body is given by the formula: $\frac{d	heta}{dt} = \frac{\sigma A(T^4 - T_0^4)}{ms}$.Here,$m = 34.38 	imes 10^{-3} \ kg

Vedclass · Accepted Answer

$1400$

Vedclass · Answer

(C) The rate of cooling of a body is given by the formula: $\frac{d	heta}{dt} = \frac{\sigma A(T^4 - T_0^4)}{ms}$.Here,$m = 34.38 	imes 10^{-3} \ kg$,$A = 19.2 	imes 10^{-4} \ m^2$,$T = 400 \ K$,$T_0 = 300 \ K$,and $\frac{d	heta}{dt} = 0.04 \ K/s$.Rearranging for specific heat $s$: $s = \frac{\sigma A(T^4 - T_0^4)}{m(\frac{d	heta}{dt})}$.Substituting the values:$s = \frac{(5.73 	imes 10^{-8}) 	imes (19.2 	imes 10^{-4}) 	imes (400^4 - 300^4)}{(34.38 	imes 10^{-3}) 	imes 0.04}$.$s = \frac{(5.73 	imes 10^{-8}) 	imes (19.2 	imes 10^{-4}) 	imes (256 	imes 10^8 - 81 	imes 10^8)}{34.38 	imes 10^{-3} 	imes 0.04}$.$s = \frac{5.73 	imes 19.2 	imes 10^{-12} 	imes 175 	imes 10^8}{34.38 	imes 10^{-3} 	imes 0.04}$.$s = \frac{19249.92 	imes 10^{-4}}{1.3752 	imes 10^{-3}} \approx 1400 \ J \ kg^{-1} \ K^{-1}$.

Similar Questions

When a wave traverses a medium,the displacement of a particle located at $x$ at a time $t$ is given by $y = a \sin (bt - cx)$,where $a, b,$ and $c$ are constants of the wave. Which of the following is a quantity with dimensions?

Which of the following statements is false?

$A$ body of mass $m$ and radius of gyration $K$ has an angular momentum $L$. Then its angular velocity is

At high temperatures,which of the following are present?

Two opposite and equal charges $4 \times 10^{-8} \, C$ are placed $2 \times 10^{-2} \, cm$ apart,forming a dipole. If this dipole is placed in an external electric field of $4 \times 10^8 \, N/C$,what are the values of the maximum torque and the work done in rotating it through $180^o$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module