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 full wave rectifier circuit with diodes (\(D_1\)) and (\(D_2\)) is shown in the figure. If input supply voltage \(V_{in} = 220 \sin(100 \pi t)\) volt, then at \(t = 15\) msec:
Consider a water tank shown in the figure. It has one wall at \(x = L\) and can be taken to be very wide in the z direction. When filled with a liquid of surface tension \(S\) and density \( \rho \), the liquid surface makes angle \( \theta_0 \) (\( \theta_0 < < 1 \)) with the x-axis at \(x = L\). If \(y(x)\) is the height of the surface then the equation for \(y(x)\) is: (take \(g\) as the acceleration due to gravity)