From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same position with the same speed reaches the ground in 1.5 s. A third ball released, from the rest from the same location, will reach the ground in ____ s.
If y = y(x) is the solution of the differential equation
\(2x^2\frac{dy}{dx}-2xy+3y^2=0\) such that \(y(e)=\frac{e}{3},\)
then y(1) is equal to
If the angle made by the tangent at the point (x0, y0) on the curve x = 12(t + sin t cos t),
\(y=12(1+sint)^2,0<t<\frac{π}{2}, \)
with the positive x-axis is π/3, then y0 is equal to
In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf’s of two cells respectively is 3 : 2, the difference in the balancing length of the potentiometer wire in above two cases will be _____ cm.
Which of the following sets of quantum numbers is not allowed?
The depression in the freezing point observed for a formic acid solution of concentration 0.5 mL L–1 is 0.0405°C. Density of formic acid is 1.05 g mL–1. The Van’t Hoff factor of the formic acid solution is nearly (Given for water kf = 1.86 k kg mol–1)
Match List-I with List-II.
Choose the correct answer from the options given below :
The IUPAC nomenclature of an element with electronic configuration [Rn] 5f146d17s2 is
The compound(s) that is(are) removed as slag during the extraction of copper is(A)CaO,(B)FeO,(C)Al2O3,(D)ZnO,(E)NiOChoose the correct answer from the options given below :
Choose the correct order of density of the alkali metals.
The interhalogen compound formed from the reaction of bromine with excess of fluorine is a :
Which one of the following reactions does not represent correct combination of substrateand product under the given conditions?
Melamine polymer is formed by the condensation of :
The enthalpy of combustion of propane, graphite and dihydrogen at 298 K are –2220.0 kJ mol–1, –393.5 kJ mol–1 and –285.8 kJ mol–1, respectively. The magnitude of enthalpy of formation of propane (C3H8) is _____ kJ mol–1. (Nearest integer)
