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JEE ADVANCED 2016 PAPER 2 OFFLINE
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54
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180 mins
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IIT-JEE Advance - Previous Year Papers
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2016 · Physics · Mechanics · Units And Measurements
JEE ADVANCED 2016 PAPER 2 OFFLINE
In an experiment to determine the acceleration due to gravity g, the formula used for the time period of a
periodic motion is \(T = 2\pi \sqrt {{{7\left( {R - r} \right)} \over {5g}}}\). The values of R and r are measured to be (60 \(\pm\) 1) mm and (10 \(\pm\) 1)
mm, respectively. In five successive measurements, the time period is found to be 0.52 s, 0.56 s, 0.57 s,
0.54 s and 0.59 s. The least count of the watch used for the measurement of time period is 0.01 s. Which of
the following statement(s) is(are) true?
2016 · Chemistry · Physical Chemistry · Chemical Equilibrium
JEE ADVANCED 2016 PAPER 2 OFFLINE
Paragraph
Thermal decomposition of gaseous X2 to gaseous X at 298 K takes place according to the following equations:
X2 (g) \(\leftrightharpoons\) 2X (g)
The standard reaction Gibbs energy, \(\Delta _rG^o\), of this reaction is positive. At the start of the reaction, there is one mole of X2 and no X. As the reaction proceeds, the number of moles of X formed is given by \(\beta\). Thus, \(\beta _{equilibrium}\) is the number of moles of X formed at equilibrium. The reaction is carried out at a constant total pressure of 2 bar. Consider the gases to behave ideally. (Given R = 0.083 L bar K-1 mol-1)
Question
The INCORRECT statement among the following for this reaction, is
Thermal decomposition of gaseous X2 to gaseous X at 298 K takes place according to the following equations:
X2 (g) \(\leftrightharpoons\) 2X (g)
The standard reaction Gibbs energy, \(\Delta _rG^o\), of this reaction is positive. At the start of the reaction, there is one mole of X2 and no X. As the reaction proceeds, the number of moles of X formed is given by \(\beta\). Thus, \(\beta _{equilibrium}\) is the number of moles of X formed at equilibrium. The reaction is carried out at a constant total pressure of 2 bar. Consider the gases to behave ideally. (Given R = 0.083 L bar K-1 mol-1)
Question
The INCORRECT statement among the following for this reaction, is
2016 · Mathematics · Algebra · Probability
JEE ADVANCED 2016 PAPER 2 OFFLINE
Football teams \({T_1}\) and \({T_2}\) have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of \({T_1}\) winning, drawing and losing a game against \({T_2}\) are \({1 \over 2},{1 \over 6}\) and \({1 \over 3}\) respectively. Each team gets \(3\) points for a win, \(1\) point for a draw and \(0\) point for a loss in a game. Let \(X\) and \(Y\) denote the total points scored by teams \({T_1}\) and \({T_2}\) respectively after two games.
\(\,\,\,\,P\,\left( {X > Y} \right)\) is
2016 · Physics · Electricity · Current Electricity
JEE ADVANCED 2016 PAPER 2 OFFLINE
Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers Rc < R/2, which of the following statement(s) about anyone of the galvanometers is(are) true?
2016 · Chemistry · Physical Chemistry · Solutions
JEE ADVANCED 2016 PAPER 2 OFFLINE
Mixture (s) showing positive deviation from Raoult’s law at 35oC is (are)
2016 · Mathematics · Algebra · Sequences And Series
JEE ADVANCED 2016 PAPER 2 OFFLINE
Let bi > 1 for I = 1, 2, ......, 101. Suppose logeb1, logeb2, ......., logeb101 are in Arithmetic Progression (A.P.) with the common difference loge2. Suppose a1, a2, ......, a101 are in A.P. such that a1 = b1 and a51 = b51. If t = b1 + b2 + .... + b51 and s = a1 + a2 + ..... + a51, then