**Q1. What do you understand by amorphous solids ? Give examples. **

**Ans:**

Amorphous solids are solids without a regular/ definitive arrangement of its constituent particles (ions, atoms or molecules) and they possess something called the short range order i.e., a regular and periodically repeating arrangement is seen only over short distances, e.g., rubber, glass.

**Q 2.1) If 22 g of benzene is dissolved in 122 g of carbon tetrachloride, determine the mass percentage of carbon tetrachloride (CCl _{4}) and benzene (C_{6}H_{6}).**

**Answer 2.1:**

*Q 3.1:*

*In the order of their reactivity, i.e how they displace each other from their salt solutions, allign the metals in decreasing order. Cu, Fe, Al, Zn and Mg.*

**Q 1. Find out the rate of expression for the given reaction, also find the dimensions of the rate constant and their order of reaction.**

**(a) \(3\; NO(g) \rightarrow N_{2}O (g) \; Rate = k\left [ NO \right ]^{2}\)**

**(b) \(H_{2} O_{2} (aq) + 3I^{-}(aq) + 2H^{+} \rightarrow 2H_{2}O (I) + I^{-} \; Rate = k \left [ H^{2}O^{2} \right ]\left [ I^{-} \right ]\)**

**(c) \(CH_{3}CHO (g) \rightarrow CH_{4} (g) + CO (g) \; Rate = k\left [ CH_{3} CHO \right ]^{\frac{3}{2}}\)**

**(d) \(C_{2}H_{5}Cl (g) \rightarrow C_{2}H_{4} (g) + HCl (g) \; Rate = k\left [ C_{2} H_{5}Cl \right ]\)**

*Question 5.1: Differentiate between the phenomenon of adsorption and absorption.*

*Give one example for each.*

**Q1. Explain why hydro-metallurgy can extract copper , but cannot extract zinc. **

*Q 1:Briefly describe the general characteristics of Group 15 elements with reference to their oxidation state, electronic configuration, atomic size, electronegativity andionisation enthalpy.*

**Q 8.1:**

**Write the electronic configuration of:**

**(i) Th ^{4+} (ii) Lu^{2+} (iii) Ce^{4+} (iv) Pm^{3+} (v) Mn^{2+} (vi) Co^{2}+ (vii) Cu^{+} (viii) Cr^{3+}+**

*Q1. Using Werner’s postulates describe the bonding present in coordination compounds.*

*Question 10.1: Name the following halides according to IUPAC system and classify them as alkyl, allyl, benzyl ( primary, secondary, tertiary ), vinyl or aryl halides :*

*Q 11.1 :*

*Give IUPAC names of the compounds given below :*

*Question 12.1: What do you mean by the following terms? Give an example of the reaction.*

*(i) Cyanohydrin*

* (ii) Acetal*

*(iii) Semicarbazone*

* (iv) Aldol*

*(v) Hemiacetal*

*Q . 13.1 :*

*Give IUPAC names for the compounds given below & categorize them into primary, secondary & tertiary amines.*

*Question 1:*

*Why should we distinguish drugs in different ways?*

**Q-1: Check each and every relation whether the following are symmetric, reflexive and transitive:**

**(i) The relation R of the set S = {2, 3, 4, 5, 6, 7, 8, 9. . . . . . . . 15} is defined as**

**R = {(a, b): 2a – b = 0}**

**Q1. Find principal value for \(\sin^{-1}\left ( -\frac{1}{2} \right )\)**

**Soln:**

**Q-1: In a matrix given below:**

**A = \(\begin{bmatrix} 3 & 6 & 20 & -8 \\ 36 & -3 & \frac{ 7 }{ 2 } & 13 \\ \sqrt{ 5 } & 2 & -6 & 18 \end{bmatrix}\), write**

**(a) the order of the matrix.**

**(b) the number of element.**

**(c) Write the elements of a _{13}, a_{21}, a_{23}, a_{24}, a_{33}**

**Q1: Evaluate the determinants.**

**\(\begin{vmatrix} 2 & 4\\ -5 & -1 \end{vmatrix}\)**

**Q1: Prove that the function \(f(x)=5x-3\) is continuous**

**at \(x=0\), at \(x=-3\) and at \(x=5\).**

**Sol:**

**Q-1) For a circle, with radius given below, find the rate of change of the area w.r.t radius ’a’. **

**i) a = 2mm, **

**ii) a = 5mm**

**Question 1:**

**By the method of inspection obtain an integral (or anti – derivative) of the sin 3x.**

**Q.1: Find the degree and order of the differential equation \(\frac{\mathrm{d} ^{4}y}{\mathrm{d} x^{4}}\)+sin (y ^{m}) = 0.**

**Question 1: Graphically represent a 40 km displacement towards 30 ^{o} east of north.**

**Q1. Find the cosine directions, if a line makes angles 90°, 135°, 45° with x, y and z- axes respectively.**

**Q1: Maximize Z = 3x + 4y**

** Subject to the constraints: x + y ≤ 4, 0 ≤ x, 0 ≤ y **

**Q.1: Q and R are events such as P(Q) = 0.6 , P(R) = 0.3, P(\(Q\cap R\)) = 0.2. Determine the value of P(\(\frac{Q}{R}\)) and P(\(\frac{R}{Q})\)**

**Sol:**

**Q.1) Two small charged spheres having charges of 2 x 10 ^{-7}C and 3 x 10^{-7}C are placed 30 cm apart in air. What will be the force between these two charges?**

**Q.1) 5 × 10 ^{-8 }C and -3 x 10^{-8} C are the two charges located 16 cm apart from each other. At what point(s) between these two charges the electric potential is zero?**

**Soln.: **Given,

*Question 3.1:*

*Car has a storage battery with an emf of 12 V. 0.4Ω is the internal resistance of the battery*

*, what is the maximum current that can be drawn from the battery?*

**Q 4.1) Determine the magnitude of the magnetic field B at the centre of the circular coil of wire carrying current of 0.4 A and having 100 turns with 8 cm being the radius of each turn. **

**Q 5.1) Answer the following:**

**(a) The specification of a vector requires 3 quantities. What are the three quantities that are independent and can be used conventionally to determine the earth’s magnetic field?**

**(b) Will the dip angle be greater or smaller in Britain, if \(18°\) is the dip angle at a location in southern India?**

**Q 1. From the given figure determine the direction of the current induced in the different given situations. **

*Question 7.1 :*

*A resistor of 100 Ω is being connected to a supply of 220 V, 50 Hz *

*(a) Calculate the rms value of current in the connection *

*(b) Calculate the total power being consumed over an entire cycle *

**Q 8.1) Two circular plates having radius of 12 cm each and separated by 5 cm are used to make a capacitor as shown in the Figure 8.6. An external source charges this capacitor. 0.15 A is the charging current which remains constant.**

**(a) Determine the capacitance and the rate of charge of potential difference between the two capacitiveplates.**

*Question 1: *

*A candle which is 2.5 cm in height is placed 27cm in front of a concave mirror having radius of curvature 36 cm. Find the distance from the mirror at which the screen should be placed to obtain a sharp image? Detail the size and nature of the image. *

*By how much the screen have to be moved if the candle is moved towards the mirror?*

**Question 1:**

**Monochromatic light having a wavelength of 589nm from the air is incident on a water surface. Find the frequency, wavelength and speed of (i) reflected and (ii) refracted light? [1.33 is the Refractive index of water]**

**Q.11.1: Find the:**

**(a) Maximum frequency, and**

**(b) The minimum wavelength of X-rays produced by 30 kV electrons.**

**Q1: Pick an appropriate option to justify the given statement:**

**(a) Size of an atom in Rutherford’s model is _________ the size of an atom compared to of Thomson’s model. (Less than, Greater than, no different than)**

*Q 13.1 (a) Lithium has two stable isotopes \(_{3}^{6}\textrm{Li}\) and \(_{3}^{7}\textrm{Li}\) have respective abundances of 7.5% and 92.5%. These isotopes have masses 6.01512 u and 7.01600 u, respectively. Find the atomic mass of lithium.*

*(b) Two stable isotopes of Boron , \(_{5}^{10}\textrm{B}\) and \(_{5}^{11}\textrm{B}\) . Their respective masses are 10.01294 u and 11.00931 u, and the atomic mass of boron is 10.811 u. Find the abundances of \(_{5}^{10}\textrm{B}\) and \(_{5}^{11}\textrm{B}\).*

**Q 1. Find which of the given statement is true for an n – type silicon.**

**(a) Majority carriers are the electrons and dopants are the trivalent.**

**(b) Minority carriers are the electrons and dopants are the pentavalents.**

**(c) Minority carriers are the holes and dopants are the pentavalent.**

**(d) Majority carriers are the holes and dopants are the trivalent.**

**Q.1: For beyond – the – horizon communication, which of the following frequencies will be suitable using sky waves?**

**(1) 10 kHz**

**(2) 10 MHz**

**(3) 1 GHz**

**(4) 1000 GHz**