1
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
A cylindrical metallic rod in thermal contact with two reservoirs of heat at its two ends conducts an amount of heat Q in time t. The metallic rod is melted and the material is formed into a rod of half the radius of the original rod. What is the amount of heat conducted by the new rod, when placed in thermal contact with the two reservoirs in time t?
A
$${Q \over 4}$$
B
$${Q \over {16}}$$
C
2Q
D
$${Q \over 2}$$
2
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
The total radiant energy per unit area, normal to the direction of incidence, received at a distance R from the centre of a star of radius r, whose outer surface radiates as a black body at a temperature TK is given by
A
$${{\sigma {r^2}{T^4}} \over {{R^2}}}$$
B
$${{\sigma {r^2}{T^4}} \over {4\pi {R^2}}}$$
C
$${{\sigma {r^2}{T^4}} \over {{R^4}}}$$
D
$${{4\pi \sigma {r^2}{T^4}} \over {{R^2}}}$$
3
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature toC, the power received by a unit surface, (normal to the incident rays) at a distance R from the centre of the sun is
where $$\sigma $$ is the Stefan's constant.
A
$${{{r^2}\sigma {{\left( {t + 273} \right)}^4}} \over {4\pi {R^2}}}$$
B
$${{16{\pi ^2}{r^2}\sigma {t^4}} \over {{R^2}}}$$
C
$${{{r^2}\sigma {{\left( {t + 273} \right)}^4}} \over {{R^2}}}$$
D
$${{4\pi {r^2}\sigma {t^4}} \over {{R^2}}}$$
4
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
If $$\Delta $$U and $$\Delta $$W represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true ?
A
$$\Delta $$U = $$-$$$$\Delta $$W, in an adiabtic process
B
$$\Delta $$U = $$\Delta $$W, in an isothermal process
C
$$\Delta $$U = $$\Delta $$W, in an adiabatic process
D
$$\Delta $$U = $$-$$ $$\Delta $$W, in an isothermal process
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