Newton’s Law of Cooling
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PHXI11:THERMAL PROPERTIES OF MATTER

366648 Two solid spheres \(A\) and \(B\) made of the same material have radii \({r_A}\) and \(r_{B}\), respectively. Both the spheres are cooled from the same temperature under the conditions valid for Newton's law of cooling. The ratio of the rate of change of temperature \(A\) and \(B\) is

1 \(\dfrac{r_{A}}{r_{B}}\)
2 \(\dfrac{r_{B}}{r_{A}}\)
3 \(\dfrac{r_{A}^{2}}{r_{B}^{2}}\)
4 \(\dfrac{r_{B}^{2}}{r_{A}^{2}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366649 A body cools from \(50^\circ C\) to \(49^\circ C\) in \(5\;s\). How long will it take to cool from \(40^\circ C\) to \(39^\circ C\) ? (Assume temperature of surroundings as \(30^\circ C\) and Newton's law of cooling is valid)

1 \(20\;s\)
2 \(10\;s\)
3 \(5\;s\)
4 \(2.5\;s\)
PHXI11:THERMAL PROPERTIES OF MATTER

366650 Forensic experts use Newton's law of cooling to find out when victim of crime died. They take the temperature of the body when they find it and by knowing the average temperature of the human body. Initially and measuring the room temperature they can find \(K\) and then \(t\). Suppose that a body was discovered at 12.00 \(PM\) in the midnight in a notel room and its temperature was \(80^\circ F\). The temperature of the atmosphere is \(60^\circ F\) Two hours later the temperature of the body dropped to \(75^\circ F\). Find the time of death. (Assume that average temperature of a living person is \(98^\circ F\) )
supporting img

1 \(9:00\,PM\)
2 \(7:00\,PM\)
3 \(8:30\,PM\)
4 \(7:30\,PM\)
PHXI11:THERMAL PROPERTIES OF MATTER

366651 A hot body temperature \(T\) looses heat to the surrounding temperature \(T_{S}\) by radiation. If the difference in the temperature is small then, the rate of loss of heat by the hot body is proportional to

1 \({\left( {T - {T_s}} \right)^2}\)
2 \(\left( {T - {T_s}} \right)\)
3 \({\left( {T - {T_s}} \right)^4}\)
4 \({\left( {T - {T_s}} \right)^{1/2}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366648 Two solid spheres \(A\) and \(B\) made of the same material have radii \({r_A}\) and \(r_{B}\), respectively. Both the spheres are cooled from the same temperature under the conditions valid for Newton's law of cooling. The ratio of the rate of change of temperature \(A\) and \(B\) is

1 \(\dfrac{r_{A}}{r_{B}}\)
2 \(\dfrac{r_{B}}{r_{A}}\)
3 \(\dfrac{r_{A}^{2}}{r_{B}^{2}}\)
4 \(\dfrac{r_{B}^{2}}{r_{A}^{2}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366649 A body cools from \(50^\circ C\) to \(49^\circ C\) in \(5\;s\). How long will it take to cool from \(40^\circ C\) to \(39^\circ C\) ? (Assume temperature of surroundings as \(30^\circ C\) and Newton's law of cooling is valid)

1 \(20\;s\)
2 \(10\;s\)
3 \(5\;s\)
4 \(2.5\;s\)
PHXI11:THERMAL PROPERTIES OF MATTER

366650 Forensic experts use Newton's law of cooling to find out when victim of crime died. They take the temperature of the body when they find it and by knowing the average temperature of the human body. Initially and measuring the room temperature they can find \(K\) and then \(t\). Suppose that a body was discovered at 12.00 \(PM\) in the midnight in a notel room and its temperature was \(80^\circ F\). The temperature of the atmosphere is \(60^\circ F\) Two hours later the temperature of the body dropped to \(75^\circ F\). Find the time of death. (Assume that average temperature of a living person is \(98^\circ F\) )
supporting img

1 \(9:00\,PM\)
2 \(7:00\,PM\)
3 \(8:30\,PM\)
4 \(7:30\,PM\)
PHXI11:THERMAL PROPERTIES OF MATTER

366651 A hot body temperature \(T\) looses heat to the surrounding temperature \(T_{S}\) by radiation. If the difference in the temperature is small then, the rate of loss of heat by the hot body is proportional to

1 \({\left( {T - {T_s}} \right)^2}\)
2 \(\left( {T - {T_s}} \right)\)
3 \({\left( {T - {T_s}} \right)^4}\)
4 \({\left( {T - {T_s}} \right)^{1/2}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366648 Two solid spheres \(A\) and \(B\) made of the same material have radii \({r_A}\) and \(r_{B}\), respectively. Both the spheres are cooled from the same temperature under the conditions valid for Newton's law of cooling. The ratio of the rate of change of temperature \(A\) and \(B\) is

1 \(\dfrac{r_{A}}{r_{B}}\)
2 \(\dfrac{r_{B}}{r_{A}}\)
3 \(\dfrac{r_{A}^{2}}{r_{B}^{2}}\)
4 \(\dfrac{r_{B}^{2}}{r_{A}^{2}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366649 A body cools from \(50^\circ C\) to \(49^\circ C\) in \(5\;s\). How long will it take to cool from \(40^\circ C\) to \(39^\circ C\) ? (Assume temperature of surroundings as \(30^\circ C\) and Newton's law of cooling is valid)

1 \(20\;s\)
2 \(10\;s\)
3 \(5\;s\)
4 \(2.5\;s\)
PHXI11:THERMAL PROPERTIES OF MATTER

366650 Forensic experts use Newton's law of cooling to find out when victim of crime died. They take the temperature of the body when they find it and by knowing the average temperature of the human body. Initially and measuring the room temperature they can find \(K\) and then \(t\). Suppose that a body was discovered at 12.00 \(PM\) in the midnight in a notel room and its temperature was \(80^\circ F\). The temperature of the atmosphere is \(60^\circ F\) Two hours later the temperature of the body dropped to \(75^\circ F\). Find the time of death. (Assume that average temperature of a living person is \(98^\circ F\) )
supporting img

1 \(9:00\,PM\)
2 \(7:00\,PM\)
3 \(8:30\,PM\)
4 \(7:30\,PM\)
PHXI11:THERMAL PROPERTIES OF MATTER

366651 A hot body temperature \(T\) looses heat to the surrounding temperature \(T_{S}\) by radiation. If the difference in the temperature is small then, the rate of loss of heat by the hot body is proportional to

1 \({\left( {T - {T_s}} \right)^2}\)
2 \(\left( {T - {T_s}} \right)\)
3 \({\left( {T - {T_s}} \right)^4}\)
4 \({\left( {T - {T_s}} \right)^{1/2}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366648 Two solid spheres \(A\) and \(B\) made of the same material have radii \({r_A}\) and \(r_{B}\), respectively. Both the spheres are cooled from the same temperature under the conditions valid for Newton's law of cooling. The ratio of the rate of change of temperature \(A\) and \(B\) is

1 \(\dfrac{r_{A}}{r_{B}}\)
2 \(\dfrac{r_{B}}{r_{A}}\)
3 \(\dfrac{r_{A}^{2}}{r_{B}^{2}}\)
4 \(\dfrac{r_{B}^{2}}{r_{A}^{2}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366649 A body cools from \(50^\circ C\) to \(49^\circ C\) in \(5\;s\). How long will it take to cool from \(40^\circ C\) to \(39^\circ C\) ? (Assume temperature of surroundings as \(30^\circ C\) and Newton's law of cooling is valid)

1 \(20\;s\)
2 \(10\;s\)
3 \(5\;s\)
4 \(2.5\;s\)
PHXI11:THERMAL PROPERTIES OF MATTER

366650 Forensic experts use Newton's law of cooling to find out when victim of crime died. They take the temperature of the body when they find it and by knowing the average temperature of the human body. Initially and measuring the room temperature they can find \(K\) and then \(t\). Suppose that a body was discovered at 12.00 \(PM\) in the midnight in a notel room and its temperature was \(80^\circ F\). The temperature of the atmosphere is \(60^\circ F\) Two hours later the temperature of the body dropped to \(75^\circ F\). Find the time of death. (Assume that average temperature of a living person is \(98^\circ F\) )
supporting img

1 \(9:00\,PM\)
2 \(7:00\,PM\)
3 \(8:30\,PM\)
4 \(7:30\,PM\)
PHXI11:THERMAL PROPERTIES OF MATTER

366651 A hot body temperature \(T\) looses heat to the surrounding temperature \(T_{S}\) by radiation. If the difference in the temperature is small then, the rate of loss of heat by the hot body is proportional to

1 \({\left( {T - {T_s}} \right)^2}\)
2 \(\left( {T - {T_s}} \right)\)
3 \({\left( {T - {T_s}} \right)^4}\)
4 \({\left( {T - {T_s}} \right)^{1/2}}\)