Match List I with List - II.

List - I	List - II
(A) Interference experiment	(I) Maxwell
(B) Electromagnetic theory of light	(II) Christian Huygens
(C) Wave theory of light	(III) Isaac Newton
(D) Particle theory of light	(IV) Thomas Young

Choose the correct answer from the options given below :

Two capacitors of capacitances \( C_1 \) and \( C_2 \) are connected in parallel.
If two-third of the total charge is shared by capacitor \( C_1 \), the ratio of \( C_1 \) to \( C_2 \) is given by:

An inductor of reactance 100 \( \Omega \) and resistor of resistance 100 \( \Omega \) are joined in series and connected by AC source of emf 220 V. Power dissipated in the circuit is:

A real and smaller image of an object will be produced by

Eg (energy band-gap) for silicon is greater than that for germanium. Therefore, it can be concluded that at room temperature:

The radius of a nucleus varies with its mass number A as:

A wire carries a current of 2.0 A. The number of electrons crossing through its cross-section in 10 s will be

Which is NOT a major characteristic feature of biodiversity 'Hot Spot'?

The projection of the vector \(\hat{i}+\hat{j}+\hat{k}\) on the vector \(\hat{j}\) is:

Match List-I with List-II

List-I	List-II
(A) The equation of the line passing through the points \((-1,0,2)\) and \((3,4,6)\) is	(I) \(\vec{r}=(-\hat{i}+2 \hat{k})+\lambda(4 \hat{i}+4 \hat{j}+4 \hat{k})\)
(B) The vector equation of the line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{4-z}{5}\) is	(II) \(\vec{r}=(\hat{i}+3 \hat{j}+2 \hat{k})+\lambda(2 \hat{i}+\hat{j}+3 \hat{k})\)
(C) The equation of the line passing through \((1,3,2)\) and parallel to \(\frac{x+1}{2}=\frac{y-1}{1}=\frac{z+1}{3}\) is	(III) \(\vec{r}=(-\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(2 \hat{i}+\hat{j}+4 \hat{k})\)
(D) The equation of the line along \(2 \hat{i}+\hat{j}+4 \hat{k}\) and passing through \((-1,2,3)\) is	(IV) \(\vec{r}=(\hat{i}-\hat{j}+4 \hat{k})+\lambda(2 \hat{i}+3 \hat{j}-5 \hat{k})\)

where \(\lambda\) is an arbitrary constant.
Choose the correct answer from the options given below:

Which of the following hormone is responsible for the development of secondary female characteristic and participate in control of menstrual cycle?

The conductivity of a 0.001 \(\mathrm{mol} \mathrm{L}^{-1}\) solution of a weak monobasic acid is \(4.0 \times 10^{-5} \mathrm{~S} \mathrm{~cm}^{-1}\). Calculate its dissociation constant if \(\Lambda_m^{\circ}\) for the weak acid is \(400.0 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\).

Read the passage carefully and answer the questions based on the passage:
Alcohols are versatile compounds as they can act as both nucleophile and electrophile. They undergo reactions based on cleavage of O-H and C-O bonds. The cleavage of O-H bond reflects the acidic character of alcohols. However they are weaker acids than water, phenol and carboxylic acids. Alkoxide ion formed by loss of proton from the OH group of alcohols reacts with water to form the corresponding conjugate acid - base pair. They act as Bronsted base due to presence of unshared electron pairs on oxygen.Both alcohols and phenol react with carboxylic acids, acid chlorides and anhydrides to form esters. The introduction of acetyl group in alcohols or phenol is known as acetylation. Alcohols react with hydrogen halides to form alkyl halides which form the basis of Lucas test. They also undergo acid catalyzed dehydration to form alkenes. Alcohols can be easily oxidized with variety of oxidizing agents. The nature of the product depends on the type of oxidizing agent and the nature of alcohol.
Pyridinium chlorochromate is used for: