1
IIT-JEE 2010 Paper 1 Offline
Numerical
+3
-0
A piece of ice (heat capacity = 2100 J kg-1 oC-1 and latent heat = 3.36 $$\times$$ 105 J kg-1 ) of mass m grams is at - 5 oC at atmospheric pressure. It is given 420 J of heat so that the ice starts melting. Finally when the ice-water mixture is in equilibrium, it is found that 1 gm of ice has melted. Assuming there is no other heat exchange in the process, the value of m is
2
IIT-JEE 2010 Paper 1 Offline
Numerical
+3
-0
Two spherical bodies A (radius 6 cm ) and B (radius 18 cm ) are at temperature T1 and T2, respectively. The maximum intensity in the emission spectrum of A is at 500 nm and in that of B is at 1500 nm. Considering them to be black bodies, what will be the ratio of the rate of total energy radiated by A to that of B?
3
IIT-JEE 2010 Paper 2 Offline
Numerical
+3
-0
A diatomic ideal gas is compressed adiabatically $${1 \over {32}}$$ of its initial volume. If the initial temperature of the gas is Ti (in Kelvin) and the final temperature is a Ti, the value of $$a$$ is
4
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1

A metal rod AB of length 10x has its one end A in ice at 0$$^\circ$$C and the other end B in water at 100$$^\circ$$C. If a point P on the rod is maintained at 400$$^\circ$$C, then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is 540 cal/g and latent heat of melting of ice is 80 cal/g. If the point P is at a distance of $$\lambda x$$ from the ice end A, find the value of $$\lambda$$. (Neglect any heat loss to the surrounding.)