In the Rutherford scattering experiment, the number of α particles scattered at an angle θ=60∘ is 12 per min. The number of α particles per minute when scattered at an angle of 90 ∘ is

The radius of a nucleus of nucleon number 16 is 3 × 1015 m. What is the radius of a nucleus with nucleon number 128?

List-I contains various reaction sequence and List-II contains different phenolic compounds. Match each entry in List-I with the appropriate entry in List-II and choose the correct option. (IIT Adv 2024 Paper-1)

List-I contains various reaction sequence and List-II contains the possible products. Match each entry in List-I with the appropriate entry in List-II and choose the correct option. (IIT Adv 2024 Paper-1)

 

Among the following complexes, the total number of diamagnetic species is _______. [Mn(NH3)6] 3+, [MnCl6] 3 , [FeF6] 3 , [CoF6] 3 , [Fe(NH3)6] 3+ and [Co(en)3] 3+ [Given, atomic number: Mn = 25, Fe = 26, Co = 27; en = H2NCH2CH2NH2] (IIT Adv 2024 Paper-1)

Among V(CO)6, Cr(CO)5, Mn(CO)5, Fe(CO)5, [Co(CO)3] 3 , [Cr(CO)4] 4 and Ir(CO)3, the total number of species isoelectronic with Ni(CO)4 is _______________. [Given, atomic number: V = 23, Cr = 24, Mn = 25, Fe = 26, Co = 27, Ni = 28, Cu = 29, Ir = 77] ( IIT Ad 2024 Paper-1)

Complete reaction of acetaldehyde with excess formaldehyde, upon heating with conc. NaOH solution, gives P and Q. Compound P does not give Tollen’s test, whereas Q on acidification gives positive Tollen’s test. Treatment of P with excess cyclohexanone in the presence of catalytic amount of p-tolunesulfonic acid (PTSA) gives product R. Sum of the number of methylene groups (-CH2-) and oxygen atoms in R is ________(IITAd 2024 Paper-1).

 

The option(s) in which at least three molecules follow Octet Rule is(are) (Adv 2024 Paper-1)

 

Reaction of iso-propylbenzene with O2 followed by the treatment with H3O + forms phenol and a by product P. Reaction of P with 3 equivalents of Cl2 gives compound Q. Treatement of Q with Ca(OH)2 produces compound R and calcium salt S. The correct statement(s) regarding P, Q, R and S is(are) (IIT Adv 2024 Paper-1)

 

Among the following options, select the option in which each complex in Set-I shows geometrical isomerism and the two complexes in Set-II are ionization isomers of each other. (IIT adv 2024 Paper-1)

 

A closed vessel contains 10 g of an ideal gas X at 300 K, which exerts 2 atm pressure. At the same temperature, 80 g of another ideal gas Y is added to it and the pressure becomes 6 atm. The ratio of root mean square velocities of X and Y at 300 K is (IIT Adv 2024 Paper-1)

 

At room temperature, disproportionation of an aqueous solution of in situ generated nitrous acid (HNO2) gives the species ( IIT Advanced 2014 paper-1)

 

Aspartame, an artificial sweetener, is a dipeptide aspartyl phenylalanine methyl ester. The structure of aspartame is (JEE (Advanced) 2024 Paper-1)

 

A gas absorbs 100 J of heat and is simultaneously compressed by a constant external pressure of 1.50 atmospheres from a volume of 8 L to 2 L. E will be

 

One mole of an ideal gas at 300Kis expanded isothermally from an initial volume of 1 litre to 10 litres. (R = 2 cal mol^–1 K^–1). E for the process is

 

Calculate the work performed when 2 moles of hydrogen expand isothermally and reversibly at 25ºC from 15 to 50 litres.

 

A gas absorbs 200J of heat and expands against the external pressure of 1.5 atm from a volume of 0.5 litre to 1.0 litre, Calculate the change in internal energy-

 

The internal energy of one mole of a gas is

 

A system does 100J work on surroundings by absorbing 150J of heat. Calculate the change in internal energy-

 

A sample of gas is compressed by an average pressure of 0.50 atmosphere so as to decrease its volume from 400 cm^3 to 200 cm3^.During the process 8.00 J of heat flows out to surroundings. Calculate the change in internal energy of the system.