Problem: Season 11 premiered on January 18, 2012. On February 23, it was announced that one more finalist would join the Top 24 making it the Top 25, and that was Jermaine Jones. However, on March 14, Jones was disqualified in 12th place for concealing arrests and outstanding warrants. Jones denied the accusation that he concealed his arrests.
What contestant was removed from the competition for concealing legal troubles?
The answer is the following: Jermaine Jones

Problem: A series of swift Prussian and German victories in eastern France, culminating in the Siege of Metz and the Battle of Sedan, saw the army of the Second Empire decisively defeated (Napoleon III had been captured at Sedan on 2 September). A Government of National Defence declared the Third Republic in Paris on 4 September and continued the war and for another five months, the German forces fought and defeated new French armies in northern France. Following the Siege of Paris, the capital fell on 28 January 1871 and then a revolutionary uprising called the Paris Commune seized power in the capital and held it for two months, until it was bloodily suppressed by the regular French army at the end of May 1871.
Which army definitively defeated Napolean III?
The answer is the following: the army of the Second Empire

Problem: The assumption that black-body radiation is thermal leads to an accurate prediction: the total amount of emitted energy goes up with the temperature according to a definite rule, the Stefan–Boltzmann law (1879–84). But it was also known that the colour of the light given off by a hot object changes with the temperature, so that "white hot" is hotter than "red hot". Nevertheless, Wilhelm Wien discovered the mathematical relationship between the peaks of the curves at different temperatures, by using the principle of adiabatic invariance. At each different temperature, the curve is moved over by Wien's displacement law (1893). Wien also proposed an approximation for the spectrum of the object, which was correct at high frequencies (short wavelength) but not at low frequencies (long wavelength). It still was not clear why the spectrum of a hot object had the form that it has (see diagram).
Who discovered the mathematical relationship between peaks and curves of light at different temperatures?
The answer is the following: Wilhelm Wien

Problem: On 4 January 2016, Barcelona's transfer ban ended. The same day, they registered 77 players across all categories and ages, and both last summer signings Arda Turan and Aleix Vidal became eligible to play with the first team. On 10 February, qualifying for the sixth Copa del Rey final in the last eight seasons, Luis Enrique’s Barcelona broke the club's record of 28 consecutive games unbeaten in all competitions set by Guardiola’s team in the 2010–11 season, with a 1–1 draw with Valencia in the second leg of the 2015–16 Copa del Rey.
Besides Arda Turan, what other player became eligible to play in 2016?
The answer is the following:
Aleix Vidal