As shown in the figure, a bob of mass \text{m} is tied to a massless string whose other end portion is wound on a fly wheel (disc) of radius \text{r} and mass \text{m}. When releas
Two infinite planes each with uniform surface charge density +\sigma are kept in such a way that the angle between them is 30^\circ. The electric field in the region shown between
According to molecular orbital theory, which of the following is true with respect to \text{Li}_2^+ and \text{Li}_2^- ?
20\text{ ml} of 0.1\text{ M }\text{H}_2\text{SO}_4 solution is added to 30\text{ mL} of 0.2\text{ M }\text{NH}_4\text{OH} solution. The \text{pH} of the resultant mixture is: \text
If a, b and c be three distinct real numbers in G.P. and a + b + c = xb, then x cannot be:
The value of \int_0^\pi \cos^3 x\,dx is
Three charges +Q, q, +Q are placed respectively, at distance, 0, d / 2 and d from the origin, on the x\text{ -axis}. If the net force experienced by +Q, placed at x = 0, is zero, t
Two masses m and \frac{m}{2} are connected at the two ends of a massless rigid rod of length l. The rod is suspended by a thin wire of torsional constant k at the centre of mass of
The major product of the following reaction is: \text{CH}_3\text{N}=\text{CH}-\text{CH}=\text{CH}-\text{CO}-\text{CH}_3 \xrightarrow{\text{NaBH}_4}
The major product obtained in the following reaction is: \text{[4-(1-hydroxyethyl)-5-nitrocyclohex-2-en-1-one derivative]} \xrightarrow{\text{LiAlH}_4\text{ (excess)}} \text{?}