Give the structural formulae and IUPAC names of the isomers with the molecular formula \( {C}_{3}{H}_{8}O\). Arrange them in increasing order of their boiling point.
The radii of curvature of the faces of a double convex lens are \(10\text{ cm}\) and \(15\text{ cm}\) . Its focal length is \(12\text{ cm}\) . What is the refractive index of glass?
Figure shows a circular coil of N turns and radius a, connected to a battery of emf ε through a rheostat. The rheostat has a total length L and resistance R. the resistance of the coil is r. A small circular loop of radius a‘ and resistance r‘ is placed coaxially with the coil. The centre of the loop is at a distance x from the centre of the coil. In the beginning, the sliding contact of the rheostat is at the left end and then onwards it is moved towards right at a constant speed v. Find the emf induced in the small circular loop at the instant the contact begins to slide and it has slid through half the length of the rheostat.
Calculate the \(pH\) of an aqueous solution of \(1.0M\) ammonium formate assuming complete dissociation. \((pK_{a}\) of formic acid \(=3.8\) and \(pK_{b}\) of ammonia \(=4.8\)
For long, straight wires, each carrying a current of \(5.0 A\), are placed in a plane as shown in figure. The points of intersection from a square of side \(5.0 cm\). \( {Q}_{1}, {Q}_{2}, {Q}_{3} and \;{Q}_{4}, \) are points situated on the diagonals of the square and at a distance from P that is equal to the diagonal of the square. Find the magnetic fields at these points.