Estradiol hormone is responsible for:

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Molar conductivity \(\left(\Lambda_m\right)\) of a solution at a given concentration (c) is the conductance of volume, V of solution, containing one mole of electrolyte kept between the two electrodes with area of cross-section A and at a distance of unit length. It increases with the decrease in concentration and when the concentration approaches zero, the molar conductivity is called limiting molar
conductivity \(\left(\Lambda_m^0\right)\). For a strong electrolyte, \(\Lambda_m\) increases linearly with dilution and is given by \(\Lambda_m=\Lambda_m^0-A c^{1 / 2}\). The value of the constant A for a given solvent depends on the type of electrolyte along with temperature. According to Kohlrausch law, the value of \(\Lambda_m^0\) for an electrolyte is \(\Lambda_m^0=\nu_{+} \lambda_{+}^0+\nu_{-} \lambda_{-}^0\), where \(\nu_{+}\)and \(\nu_{-}\) are the number of cations and anions, respectively, per molecule of the electrolyte and \(\lambda_{+}^0\) and \(\lambda_{-}^0\) are limiting molar conductivities of cation and anion, respectively. Kohlrausch law finds many applications, like determining the solubility of a sparingly soluble salt, determining the degree of dissociation \(\left(\Lambda_m / \Lambda_m^0\right)\), and the dissociation constant of a weak electrolyte.
The plot between \(\Lambda_m\) and \(c^{1 / 2}\) is a straight line with

In Henry's law, the partial pressure of gas in the vapor phase is proportional to:

Choose the correct statement about molar conductivity, \(\Lambda_{m}\)

The rate determining step for a complex reaction is:

Which of the following statement(s) is correct ?
(A). Keratin is an example of fibrous protein.
(B). Fibrous proteins are water-soluble, while globular proteins are water-insoluble.
(C). Polypeptide chains in fibrous proteins run parallel and are held together by hydrogen and disulphide bonds.
(D). Insulin and albumins are common examples of globular proteins.
Choose the correct answer from the options given below:

Match the type of ligands given in List-I with appropriate examples given in List-II

List-I (Ligands)	List-II (Examples)
(A). Ambidentate	(I). thiocyanato
(B). Unidentate	(II). water
(C). Didentate	(III). oxalate
(D). Polydentate	(IV). ethylenediaminetetraacetate

Choose the correct answer from the options given below:

The value of \(|\vec{a}-\vec{b}|\), if two vectors \(\vec{a}\) and \(\vec{b}\) are such that \(|\vec{a}|=1,|\vec{b}|=4\), and \(\vec{a} \cdot \vec{b}=5\) is :

The system of equations \(2 x+\lambda y=8, \lambda x+8 y=3\) has a unique solution if the value of \(\lambda\) is (are):

A parallel plate capacitor is charged by battery. While the battery remains connected and dielectric slab of dielectric constant 'k' is inserted between the plates of capacitor then,
A. Charge increases and becomes k times.
B. Capacitance decreases becomes times 1/k
C. Energy stored in capacitor increases to \(k\) times.
D. Potential difference increases to \(k\) times.
Choose the correct answer from the options given below:

A current of \( 2 \times 10^{-5} \text{ A} \) produces 25 division deflection in a galvanometer. The resistance of the galvanometer coil is \( 4 \ \Omega \). The figure of merit of galvanometer is :

The S.I. unit of electron mobility is :

Match List I with List II.

List-I (Compounds)	List-II (Oxidation number of Cobalt)
A. \(\left[ Co \left( NH _3\right)_5( NCS )\right] SO _3\)	I. \(+4\)
B. \(\left[ Co \left( NH _3\right)_4 Cl _2\right] SO _4\)	II. \(0\)
C. \(Na _4\left[ Co \left( S _2 O _3\right)_3\right]\)	III. \(+2\)
D. \(\left[ Co _2( CO )_8\right]\)	IV. \(+3\)

Choose the correct answer from the options given below :