The standard potential of the cell ( \(E_{\text {cell }}^{\ominus}\) ) is related to the equilibrium constant ( \(K_C\) ) as

False statement about Frenkel defect is:

The quantity k in a rate law expression:

Read the passage carefully and answer the Questions
Carbonyl compounds such as aldehydes, ketones, and carboxylic acids play an important role in the biochemical process of plants and animal kingdom. Many aldehydes and ketones find applications in dye, perfumery and other industries.
The carbonyl carbon atom is \(s p^2\)-hybridized forming three sigma and one pi-bond with oxygen.
C-O bonds are polar bond due to high electronegativity of oxygen than carbon.
Hence the carbonyl carbon behaves as an electrophilic center and oxygen as a nucleophilic centre.
Primary and secondary alcohols yield aldehydes and ketones respectively upon oxidation with variety of oxidixing agents.
The boiling points of aldehydes and ketones differ from hydrocarbons and ethers.
Aldehydes and ketones undergo nucleophilic addition reaction due to presence of electrophilic carbonyl carbon.
Nucleophile and a proton add across the carbon oxygen double bond.
In polar C-O bond in carbonyl compounds, the nature of carbon and oxygen atom is

Answer the question on the basis of passage given below:
In the periodic table, the d-block contains the elements of group \(3\) to \(12\). The d-orbitals are progressively filled in each of the four long periods. The elements of d block referred as transition metals have partly filled d orbitals and exhibit certain characteristic properties such as variety of oxidation states, formation of coloured ions, act as catalyst and show paramagnetic behaviour.
The two inner transition metals series \(4f\) and \(5f\) are known as Lanthanoids and Actinoids respectively. The lanthanoids resemble one another more closely as compared to ordinary transition elements in any series.
Highest oxidation state of manganese in fluoride is \(+4\left( MnF _4\right)\) but highest oxidation state in oxides is \(+7\left( Mn _2 O _7\right)\) because:

What is the symbol of technetium element ?

In the reaction below, identify the species undergoing oxidation and reduction.
H\(_2\)\(\mathrm{S}\)(g) + Cl\(_2\)(g) \(\rightarrow\) 2HCl(g) + S(s)

Ajesh has set up a sinking fund in order to have ₹ 10,00,000 after 10 years for his son's education. The amount should be set aside at the end of every 6 months into an account paying \(5\%\) per annum compounded half yearly is : [given \((1.025)^{20}=1.6386\) ]

Which of the following statement is \text{\textbf\{incorrect\}?}

The interval in which \(f(x)=\sin x-\cos x, 0 \leq x \leq 2 \pi\) is strictly decreasing is:

Arrange the steps in correct order for somatic hybridization.
(A). Isolated protoplasm are fused together
(B). Isolate the protoplasts from a single cell of different plants
(C). Digest the cell wall to isolate the protoplasts
(D). Hybrid protoplasts grown to form new plants
Choose the correct answer from the options given below:

In a hydrogen atom, an electron is moving in the \( n^{\text{th}} \) permitted orbit of radius \( r_n \). The wavelength associated with this electron is:

On an optical bench of 150 cm, a student used a concave mirror of focal length 20 cm to observe object distance (u) and image distance (v) respectively as :
(A) (40 cm, 10 cm)
(B) (60 cm, 15 cm)
(C) (80 cm, 38 cm)
(D) (60 cm, 30 cm)
(E) (40 cm, 40 cm)