A particle is executing simple harmonic motion with a time period of 3 s. At a position where the displacement of the particle is 60% of its amplitude, the ratio of the kinetic and potential energies of the particle is:
The acceleration due to gravity at a height of 6400 km from the surface of the earth is \(2.5 \, \text{ms}^{-2}\). The acceleration due to gravity at a height of 12800 km from the surface of the earth is (Radius of the earth = 6400 km)
Observe the following structure: The formal charges on the atoms 1, 2, 3 respectively are:
Given below are two statements: Statement-I: In the decomposition of potassium chlorate, Cl is reduced. Statement-II: Reaction of Na with \( O_2 \) to form \( Na_2O \) is a redox reaction.
Match the following:
An alkene X (\( C_4H_8 \)) on reaction with HBr gave Y (\( C_4H_9Br \)). Reaction of Y with benzene in the presence of anhydrous \( AlCl_3 \) gave Z which is resistant to oxidation with \( KMnO_4 + KOH \). What are X, Y, Z respectively?
‘X’ is a protecting colloid. The following data is obtained for preventing the coagulation of 10 mL of gold sol to which 1 mL of 10% NaCl is added. What is the gold number of ‘X’?
The reactions which occur in blast furnace at 500 – 800 K during extraction of iron from haematite are i. \(3Fe_2O_3 + CO \rightarrow 2Fe_3O_4 + CO_2\)ii. \(Fe_2O_3 + 3C \rightarrow 2Fe + 3CO\)iii. \(FeO + 4CO \rightarrow 3Fe + 4CO_2\)iv. \(FeO + CO \rightarrow 2FeO + CO_2\)
Which of the following reactions give phosphine? i. Reaction of calcium phosphide with waterii. Heating white phosphorus with concentrated NaOH solution in an inert atmosphereiii. Heating red phosphorus with alkali
