1
AIEEE 2011
+4
-1
$$100g$$ of water is heated from $${30^ \circ }C$$ to $${50^ \circ }C$$. Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is $$4184$$ $$J/kg/K$$):
A
$$8.4$$ $$kJ$$
B
$$84$$ $$kJ$$
C
$$2.1$$ $$kJ$$
D
$$4.2$$ $$kJ$$
2
AIEEE 2010
+4
-1
Out of Syllabus
A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from $$V$$ to $$32$$ $$V$$, the efficiency of the engine is
A
$$0.5$$
B
$$0.75$$
C
$$0.99$$
D
$$0.25$$
3
AIEEE 2009
+4
-1
Statement - 1: The temperature dependence of resistance is usually given as $$R = {R_0}\left( {1 + \alpha \,\Delta t} \right).$$ The resistance of wire changes from $$100\Omega$$ to $$150\Omega$$ when its temperature is increased from $${27^ \circ }C$$ to $${227^ \circ }C$$. This implies that $$\alpha = 2.5 \times {10^{ - 3}}/C.$$

Statement - 2: $$R = {R_0}\left( {1 + \alpha \,\Delta t} \right)$$ is valid only when the change in the temperature $$\Delta T$$ is small and $$\Delta T = \left( {R - {R_0}} \right) < < {R_0}.$$

A
Statement - 1 is true, Statement - 2 is true; Statement - 2 is the correct explanation of Statement - 1
B
Statement - 1 is true, Statement - 2 is true; Statement - 2 is not the correct explanation of Statement - 1
C
Statement - 1 is false, Statement - 2 is true
D
Statement - 1 is true, Statement - 2 is false
4
AIEEE 2009
+4
-1
One $$kg$$ of a diatomic gas is at a pressure of $$8 \times {10^4}\,N/{m^2}.$$ The density of the gas is $$4kg/{m^3}$$. What is the energy of the gas due to its thermal motion ?
A
$$5 \times {10^4}\,J$$
B
$$6 \times {10^4}\,J$$
C
$$7 \times {10^4}\,J$$
D
$$3 \times {10^4}\,J$$
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