Trivalent lanthanoid ions which do not show any colour are:

Which of the following is a heteroleptic complex?
(A) 1-Bromobutane
(B) 1-Bromo-2,2-dimethylpropane
(C) 1-Bromo-2-methylbutane
(D) 1-Bromo-3-methylbutane
Choose the correct answer from the options given below :

The aqueous solution containing which one of the following ions will be colourless? (Atomic numbers: \(Sc = 21, Fe = 26, Ti = 22, Mn = 25\))

Arrange the steps followed during nucleophilic addition on a carbonyl group.
A. \(s p^2\) hybridised carbon of \(>C=O\) group changes to \(s p^3\) hybridised carbon
B. Nucleophile attacks the electrophilic carbon
C. Tetrahedral alkoxide ion is formed
D. Intermediate captures \(H ^{+}\)to give neutral product.
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Read the Passage carefully and answer the questions
When a ligand is bound to a metal ion through a single donor atom, it is said to be a unidentate ligand but when it bind through two donor atoms, then it is said to be didentate ligand and when several donor atoms are present in a single ligand, it is said to be a polydentate ligand. When a dior polydentate ligand uses its two or more donor atoms simultaneously to bind a single metal ion, it is said to be a chelate ligand. The number of such ligating groups is called the denticity of the ligand. ligand which has two different donor atoms and either of the two ligetes in the complex is called ambidentate ligands. The number of ligand donor atoms to which the metal is directly bonded, is called coordination number of the metal ion in the complex. Complexes in which a metal is bound to only one kind of donor groups are known as homoleptic and in which a metal is bound to more than one kind of donor groups are known as heteroleptic complexes.
Which among the following is an ambidentate ligand?

The rate of a chemical reaction doubled for every 10°C rise in temperature. If the temperature is raised by 50°C, the rate of reaction will be

Which of the following statements is not correct?

In the following nuclear reaction,
\( {}^1_0n + {}^{235}_{92}U \rightarrow {}^{140}_{54}Xe + {}^a_bSr + 2{}^1_0n \), we have

Read the passage carefully and answer the questions
The resistance ( \(R\) ) of an object is given by the expression \(R=\rho \frac{l}{A} .\)
The inverse of \(R\) is called conductance and the inverse of \(\rho\) is called conductivity or specific conductance represented by \(\kappa\).
The conductivity depends upon the nature of the material (insulator, semiconductor or conductor) and the temperature of the substance.
Similarly, the conductance due to the ions present in the solution (ionic conductance) depends upon the nature of the electrolyte, size of ions, the nature of the solvent and the temperature.
Molar conductivity ( \(\Lambda_m\) ) of a solution at a given concentration is the conductance of volume \(V\) containing one mole of electrolyte kept between two electrodes of area \(A\) and unit distance apart.
It is given by the expression \(\Lambda_m=\kappa V .\)
Molar conductivity increases with decrease in concentration and when concentration approaches zero, it is called limiting molar conductivity.
The decrease is linear for a strong electrolyte. However, for a weak electrolyte the change is gradual at higher concentrations and sharp near zero concentration.
Using limiting molar conductivity values of strong electrolytes we can calculate the limiting molar conductivity of weak electrolytes using Kohlrausch law of independent migration of ions.
From molar conductivity and limiting molar conductivity we can determine the degree of dissociation \(\left(\frac{\Lambda_m}{\Lambda_m^0}\right)\) and the ionization constant of a weak acid.
Select the correct statement.

For the L-R series circuit connected to an ac mains \(e = e_0 \sin \omega t\), the average power consumed is: (Symbols have their usual meanings)

Identify the wrong nuclear equation :

A circular coil with 5 turns, each of radius 7 cm, carries a current of 1.4 A. The magnetic field at the center of the coil is:

Let \(L_1\) and \(L_2\) be two lines, represented as,
\(L_1: \vec{r}=\hat{i}+\hat{j}+\lambda(2 \hat{i}-\hat{j}+\hat{k})\) and \(L_2: \vec{r}=2 \hat{i}+\hat{j}-\hat{k}+\mu(4 \hat{i}-2 \hat{j}+2 \hat{k})\), where \(\lambda\) and \(\mu\) are scalars. Then which of the following are true?
(A)\(L_1\) is perpendicular to \(L_2\)
(B) \(L_1\) is parallel to \(L_2\)
(C) \(L_1\) passes through the point (1,1,0)
(D) \(L_2\) passes through the point (2,1,-1)
Choose the correct answer from the options given below: