A series LCR circuit is connected to a 230 V, 50 rad/s source. Given L = 5 H, C = 80 \( \mu \)F and R = 40 \( \Omega \). Impedance of the circuit is

Monochromatic lights of wavelengths \( 620 \text{ nm} \) and \( 626 \text{ nm} \), respectively are used to study diffraction at a single slit of aperture \( 0.7 \text{ mm} \). The distance between the slit and the screen is \( 1.8 \text{ m} \). The separation between the positions of the first maxima of the diffraction pattern obtained in the two cases is :

A white light falls on a prism. Among given choices which light bends the least?

The slope of the stopping potential \(V_0\) versus frequency \(\nu\) of the incident radiation plot is (Where symbols have their usual meaning)

An LED has a voltage drop of 2 V across it and a current of 10 mA flows when it operates with a 6 V battery through a limiting resistance R. The value of R is :

Match List-I with List-II

List-I	List-II
(A) 1T	(I) V s
(B) 1H	(II) \( 1m^2 A \)
(C) \( JT^{-1} \)	(III) \( \frac{Wb}{m^2} \)
(D) 1Wb	(IV) Wb/A

Choose the correct answer from the options given below :

The refractive index of an equilateral prism is \( \sqrt{3} \). The angle of incidence for which angle of deviation is minimum is :

Read the passage carefully and answer the Questions:
According to Valence Bond theory, the metal atom or ion under the influence of ligands can use its ( \(n-1\) )d, \(n s, n p\) or \(n s, n p, n d\) orbitals for hybridisation to yield a set of equivalent orbitals of definite geometry such as octahedral, tetrahedral, square planar and so on. These hybridised orbitals are allowed to overlap with ligand orbitals that can donate electron pairs for bonding. While the VB theory, to a larger extent, explains the formation, structures and magnetic behaviour of coordination compounds, it suffers from the many shortcomings. The Crystal field theory (CFT) is an electrostatic model which considers the metal-ligand bond to be ionic arising purely from electrostatic interactions between the metal ion and the ligand. The five \(d\) orbitals in an isolated gaseous metal atom/ion have same energy, i.e., they are degenerate. This degeneracy is maintained if a spherically symmetrical field of negative charges surrounds the metal atom/lon. However, when this negative field is due to ligands in a complex, it becomes asymmetrical and the degeneracy of the \(d\) orbitals is lifted. It results in splitting of the \(d\) orbitals. The pattern of splitting depends upon the nature of the crystal field.
Which of the following is not true about the limitations of VBT:

Dimensional formula of Planck constant is:

Read the passage carefully and answer the questions
Optically active polyhydroxy aldehydes or ketones or molecules which provide such units on hydrolysis are called carbohydrates. They can be broadly classified as monosaccharides, disaccharides and polysaccharides depending on their behavior towards hydrolysis. They are also classified as reducing or non-reducing sugars. Another class of biomolecules is proteins which are polymers of twenty different amino acids linked by peptide bonds. Amino acids can be classified as acidic, basic or neutral depending on the relative number of amino and carboxyl groups in their molecule. The essential amino acids cannot be synthesized by our body and hence must be provided through diet. Nucleic acids are the polymers of nucleotides which in turn consist of a base, pentose sugar and phosphate. There are two types of
nucleic acids namely, DNA and RNA which differ in the composition of sugar and a base
Which of the following is non-reducing sugar?

Consider the line \(\vec{r}=\hat{i}-2 \hat{j}+4 \hat{k}+\lambda(-\hat{i}+2 \hat{j}-4 \hat{k})\)
Match List-I with List-II

List-I	List-II
(A) A point on the given line	(I) \(\left(\frac{-1}{\sqrt{21}}, \frac{2}{\sqrt{21}}, \frac{-4}{\sqrt{21}}\right)\)
(B) direction ratios of the line	(II) \((4,-2,-2)\)
(C) direction cosines of the line	(III) \((1,-2,4)\)
(D) direction ratios of a line perpendicular to given line	(IV) \((-1,2,-4)\)

Choose the correct answer from the options given below:

"Toddy" is a traditional drink which is made by-

In alcohols, C-O-H bond angle is: