1
AIEEE 2012
+4
-1
This question has Statement $$1$$ and Statement $$2.$$ Of the four choices given after the Statements, choose the one that best describes the two Statements.

If two springs $${S_1}$$ and $${S_2}$$ of force constants $${k_1}$$ and $${k_2}$$, respectively, are stretched by the same force, it is found that more work is done on spring $${S_1}$$ than on spring $${S_2}$$.

STATEMENT 1: If stretched by the same amount work done on $${S_1}$$, Work done on $${S_1}$$ is more than $${S_2}$$
STATEMENT 2: $${k_1} < {k_2}$$

A
Statement 1 is false, Statement 2 is true
B
Statement 1 is true, Statement 2 is false
C
Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation for Statement 1
D
Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for Statement 1
2
AIEEE 2012
+4
-1
The mass of a spaceship is $$1000$$ $$kg.$$ It is to be launched from the earth's surface out into free space. The value of $$g$$ and $$R$$ (radius of earth ) are $$10\,m/{s^2}$$ and $$6400$$ $$km$$ respectively. The required energy for this work will be:
A
$$6.4 \times {10^{11}}\,$$ Joules
B
$$6.4 \times {10^8}\,$$ Joules
C
$$6.4 \times {10^9}\,$$ Joules
D
$$6.4 \times {10^{10}}\,$$ Joules
3
AIEEE 2012
+4
-1
A Carnot engine, whose efficiency is $$40\%$$, takes in heat from a source maintained at a temperature of $$500$$ $$K.$$ It is desired to have an engine of efficiency $$60\% .$$ Then, the intake temperature for the same exhaust (sink) temperature must be :
A
efficiency of Carnot engine cannot be made larger than $$50\%$$
B
$$1200$$ $$K$$
C
$$750$$ $$K$$
D
$$600$$ $$K$$
4
AIEEE 2012
+4
-1
A thin liquid film formed between a U-shaped wire and a light slider supports a weight of $$1.5 \times {10^{ - 2}}\,\,N$$ (see figure). The length of the slider is $$30$$ $$cm$$ and its weight negligible. The surface tension of the liquid film is
A
$$0.0125\,\,N{m^{ - 1}}$$
B
$$0.1\,\,N{m^{ - 1}}$$
C
$$0.05\,\,N{m^{ - 1}}$$
D
$$0.025\,\,N{m^{ - 1}}$$
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Joint Entrance Examination