Lassaigne's test is used to detect the presence of extra elements (like nitrogen, sulfur, halogens) in organic compounds. In this test, organic compounds are fused with sodium to convert these elements into their ionic detectable forms:
- Nitrogen → NaCN
- Sulfur → Na2S
- Halogens → NaX (NaCl, NaBr, NaI)
Now evaluate the reactions:
- Option (1): Formation of Na2S → Used to test sulfur — part of Lassaigne's test.
- Option (2): Formation of NaX (halide salts) → Used to test halogens — part of Lassaigne's test.
- Option (3): This is a reduction reaction of CuO by carbon — NOT related to detection of any element in organic analysis. Not part of Lassaigne's test.
- Option (4): Formation of NaCN — used for nitrogen detection — is part of Lassaigne's test.
Therefore, only option (3) is unrelated to Lassaigne's test.
A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :