Analysis of Each Statement: (A) Independent of excitation wavelength: This is correct. Generally, the position of the emission maxima in fluorescence is largely independent of the excitation wavelength due to the mirror image rule, reflecting the electronic structure of the molecule itself rather than the excitation source.
(B) Depends on the concentration of a quencher: This statement is incorrect. While the intensity of fluorescence can be affected by the presence of quenchers, the emission maxima ((lambda_{{max}})) itself typically does not shift due to changes in quencher concentration.
(C) Varies with solvent polarity: Correct. Solvent polarity can affect the electronic environment of the fluorescent molecule, leading to shifts in the emission spectrum, known as solvatochromism.
(D) Varies with temperature: Also correct. Temperature changes can affect the vibrational states of the molecule and its interaction with the solvent, leading to variations in the emission maxima. Conclusion:
The statements (A), (C), and (D) provide correct descriptions of factors influencing fluorescence emission maxima, highlighting the influence of molecular environment and experimental conditions on spectroscopic outcomes.
Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?
Note: The figure shown is representative.
For the clock shown in the figure, if
O = O Q S Z P R T, and
X = X Z P W Y O Q,
then which one among the given options is most appropriate for P?
“His life was divided between the books, his friends, and long walks. A solitary man, he worked at all hours without much method, and probably courted his fatal illness in this way. To his own name there is not much to show; but such was his liberality that he was continually helping others, and fruits of his erudition are widely scattered, and have gone to increase many a comparative stranger’s reputation.” (From E.V. Lucas’s “A Funeral”)
Based only on the information provided in the above passage, which one of the following statements is true?