*Q1. Find out the value of molecular weight of the given compounds:*

*(i) \(CH_{4}\) (ii)\(H_{2}O\) (iii)\(CO_{2}\)*

**Q.1. (a)Figure the quantity of electrons which will together measure one gram.**

**(b)Compute the mass and charge of one mole of electrons.**

**Q-1) What is the basic theme of organisation in the periodic table?**

**Ans.)** It is to characterize the elements in periods and groups as per their properties. So, this course of action makes the investigation of elements and compounds of elements in a simple one and methodical way. In this periodic table, elements with comparative properties are set in a similar groups.

**Q-1) Explain Chemical bond formation process.**

*Q1. Calculate the minimum pressure required to compress 500 \(dm^{ 3 }\)of air at 1 bar to 200 \(dm^{ 3 }\) at \(30^{\circ} C \) ?*

**Q-1: A thermodynamic state function is _______.**

**1. A quantity which depends upon temperature only.**

**2. ****A quantity which determines pressure-volume work.**

**3. A quantity which is independent of path.**

**4. A quantity which determines heat changes.**

**Q.1. At a fixed temperature a liquid is in equilibrium with its vapour in a closed vessel. Suddenly, the volume of the vessel got increased. **

**I)What will be the final vapour pressure and what will happen when equilibrium is restored finally?**

**II)Write down, how initially the rates of evaporation and condensation got changed? **

**III)Write down the effect observed when there was a change in vapour pressure. **

*1. Assign oxidation no. to the elements underlined:*

*(i) \(NaH_2\underline{P}O_4\)*

*(ii) \(NaH\underline{S}O_{4}\)*

*(iii) \(H_{4}\underline{P}_{2}O_{7}\)*

*(iv) \(K_{2}\underline{Mn}O_{4}\)*

** Q 9.1**

** Explain on the general basis of electronic configuration – the actual position of hydrogen in periodic table.**

**Q 10.1**

**Mention the general chemical and physical features of the alkali metals?**

**Q 11.1**

**Explain the variation pattern in oxidation states of**

**(i) C to Pb**

**(ii) B to Tl**

**Question 12.1:**

**Mention the hybridisation states of each carbon atom in the following compounds**

**CH _{2}=C=O, CH_{3}CH=CH_{2}, (CH_{3})_{2}CO, CH_{2}=CHCN, C_{6}H_{6}**

**Question 13.1: How do you explain for the generation of ethane through chlorination of methane? **

**Question 14.1:**

**What do you mean by environmental chemistry?**

**Exercise-1.1**

**Q.1: Which of the following are sets. Explain your answer.**

**(a). The collection of all day in a week which have the first letter S.**

**Exercise 2.1**

**Q.1: If \((\frac{ a }{ 3 } \; + \; 1, \; b \; – \; \frac{ 2 }{ 3 })\) = \((\frac{ 5 }{ 3 }, \; \frac{ 1 }{ 3 })\), what is the value of a and b?**

**Exercise 3.1**

**Q.1: Calculate the radian measurement of the given degree measurement:**

**(i). \(25\;^{\circ}\)**

**(ii). \(240\;^{\circ}\)**

**(iii). \(-47\;^{\circ} \; 30?\)**

**(iv). \(520\;^{\circ}\)**

**Exercise 4.1**

**Prove the following through principle of mathematical induction for all values of n, where n is a natural number.**

**1: \(1 + 3 + 3^{2} + …. + 3^{n – 1} = \frac{\left ( 3^{n} – 1 \right )}{2}\)**

**Exercise: 5.1**

**Q.1: Express the following complex number in x + iy form; \((4i)\;(-\frac{7}{4}i)\)**

**Exercise 6.1**

*Question 1*

*Solve \(26x < 200\) when:*

*(i) The variable(x) is a natural number*

*(ii) The variable(x) is an integer.*

**Exercise- 7.1**

**Q-1: Form 3- digit numbers by using digits 4, 5, 6, 7 and 8 and assume that**

**(i) The digits can be repeated.**

**(ii) Digits can’t be repeated in the 3- digit number.**

**Binomial Theorem:**

**[a + b] ^{n} = [ ^{n}C_{0 }**

**Exercise 9.1**

**Q1: a _{s} = s (s + 3) is the s^{th} term of a sequence. Find the starting five terms of the sequence.**

**Exercise – 10.1**

*Q-1. Construct a quadrilateral in the Cartesian plane with vertices (-2, 5), (0, 6), (4, -4) and (-3, -1). Also, find the area of the quadrilateral.*

**Exercise 11.1**

**Q.1: A circle is given with centre (0, 3) and radius 3. Obtain the equation of the given circle.**

**Exercise 12.1**

**For any given point, the sign of its coordinates determines the octant in which it will lie. **

**Exercise 13.1**

**Q1. **

**Evaluate \(\lim_{x \rightarrow 3} x + 5\) limit:**

**Exercise 14.1**

**Q.1: State whether the following sentences are statements or not, and justify your answers.**

**(a) A month has 35 days.**

**(b) Mathematics is very tough**

**Exercise 15.1**

**Q1. Calculate the mean deviation about the mean for the given data**

**5, 8, 9, 10, 11, 13, 14, 18**

**Exercise 16.1**

**Question 1 **

**Write the sample space when a coin is tossed thrice.**

**Q 1. Albert Einstein proposed some of the most important statements on the way science works. What was Einstein trying to say when he stated, “The most incomprehensible thing about the world is that it is comprehensible”? **

**Question 1: **** Complete the following:**

**(1) A cube whose sides measure 2 cm each has a volume equal to ________**

*Q1.**Among the following cases of motion, in which cases can we consider the body to be approximately a point object: *

*( a ) A train carriage going from one stations to another. *

*( b ) A cap on a man’s head who is biking on a circular race track. *

**Q-1: State whether the following physical quantities are scalar or vector. **

**(i) Mass **

**(ii) Volume **

**(iii) Speed**

**(iv) Acceleration**

**Q1.What is the direction and magnitude of the net force working on **

**( a ) a hovercraft moving at a constant speed of 20 km/h on a rough road,**

**( b ) a bottle cap of mass 5 gm floating on wine, **

*Que.1. It is important to understand the sign of work done by a force on a body. Find whether the following are positive or negative:*

*(a) The work done in lifting of a bucket by the use of a rope.*

*(b) The work done by the force due to gravity in lifting the bucket.*

*(c) The work done on the body by friction which is sliding in a plane which is inclined.*

*Q1. Where is the center of mass of the following structures located ( a ) ring , ( b ) cube, ( c ) sphere , and ( d ) cylinder. Is it necessary for a body’s center of mass to lie inside it ?*

**Q.1: (a). By putting an electric charge inside a hollow conductor you can shield it from the influences of electrical forces. Can a body be shielded from the gravitational influences of nearby matter in a similar fashion? **

**(b). An astronaut in a shuttle orbiting Mars cannot feel gravity. If he was traveling in a very large space ship would he have detected gravity?**

*Q1*. *A steel wire of cross-sectional area 3 x 10 ^{– 5}m^{2 }and length of 5m stretches by the same length as a copper wire of cross-sectional area 4.0 x 10^{-5}m^{2 }and length 4m under a given load. Find the ratio of Young’s modulus of copper to that of steel?*

**Q.1: Explain the following: **

(i). Humans have a greater blood pressure in their feet than in the head

(ii). Even though the atmosphere extends over 100 km from the sea level. Atmospheric pressure at an altitude of about 6 km is almost half of its value at sea level.

(iii). Pressure is force divided by area but still, hydrostatic pressure falls into a scalar quantity.

**Q.1: The triple points of carbon dioxide and neon are 216.55 K and 24.5K respectively. State**

**these temperatures on the scales of Fahrenheit and Celsius. **

**Q.1: Water flowing at the rate of 4.0 litres/ minute is heated from 28 ****°C to 76 °C by a gas burner, if its heat of combustion is 4.0 × 10 ^{4} J/g. Find the rate of consumption of fuel.**

**Q.1: Calculate the ratio of molecular volume to the actual volume of oxygen gas at standard temperature and pressure. (Diameter of oxygen molecule = 3Å)**

**Q1. Which of the following is periodic motions:**

**(a) A swimmer making to and fro laps in a river.**

**(b) A star revolving around a black hole.**

**(c) A bullet fired from a gun.**

**(d) A freely suspended bar magnet is moved away from its N –S direction and released.**

**Q1. A 5 kg string is under 400 newton of tension. The string is stretched to 40.0 m. If one end of the string is given a transverse jerk, find the amount of time taken by the disturbance take to reach the other end?**