7. *Magnetic field* - Example: 0.5 Tesla (T) towards the west.
8. *Weight* - Example: 500 Newtons downward (due to gravity).
9. *Torque* - Example: 15 Newton meters (N·m) clockwise.
10. *Lift* - Example: 800 Newtons upward (as in an airplane's lift).
*Scalars*:
- Scalars are like counting objects or measuring something without worrying about which way it's going. For example, if you measure the temperature of the room, you only care about how hot or cold it is, not which direction the heat is coming from.
*Vectors*:
- Vectors are like giving directions with measurements. For example, if you tell someone to walk 10 meters north, you are giving them both a distance and a direction to follow. Both parts (the distance and the direction) are important to understand what you mean.
These examples should help you understand the difference between scalar and vector quantities. Scalars are simpler because they only have a size, while vectors are more detailed because they tell you both size and direction.
a) ‘Homologous series’ are prevalent for organic compounds
and not for inorganic compounds.
Homologous series are characteristic of
organic compounds because these compounds are based on carbon chains. In a homologous
series, each member differs from the next by a CH₂ unit. This regularity in
structure leads to a gradual variation in physical properties and similar
chemical properties among the members. Inorganic compounds, on the other hand,
do not form such series because their structures are more varied and less
amenable to the regular incremental changes seen in organic compounds.
b) Methane, ethane and propane have similar chemical
properties but differ in physical properties.
Methane (CH₄), ethane (C₂H₆), and propane
(C₃H₈) are all alkanes, which are saturated hydrocarbons. They have similar
chemical properties because they all undergo similar types of reactions, such
as combustion and substitution, due to the presence of only single bonds
between carbon atoms. However, they differ in physical properties such as
boiling and melting points. These differences arise because as the molecular
size increases, the strength of van der Waals forces between the molecules
increases, leading to higher boiling and melting points for larger molecules.
c) Hydrocarbons of the same homologous series have the
same general formula.
Hydrocarbons in the same homologous series
share a common general formula, which describes the ratio of carbon to hydrogen
atoms in the molecules. For example:
- Alkanes have the general formula (CnH{2n+2} -- Alkanes (paraffins)
- Alkenes have the general formula (CnH{2n} --- Alkenes (olefins)
- Alkynes have the general formula (CnH{2n-2}
This general formula is a result of the consistent structural pattern within
the series, where each successive compound differs by a CH₂ group.
Welcome to our YouTube lecture on unit conversion tailored specifically for middle school students! In this comprehensive tutorial, we'll dive into the fundamental concept of converting units with easy-to-follow explanations, plenty of examples, and step-by-step solutions to solidify your understanding.
We'll start by breaking down the basics of unit conversion, discussing why it's important, and exploring common units of measurement encountered in everyday life and in the classroom. From there, we'll guide you through a systematic approach to converting units, ensuring you grasp the process from start to finish.
Throughout the lecture, we'll provide numerous real-life examples to illustrate each step of the conversion process. Whether we're converting lengths, volumes, , you'll learn practical strategies to tackle any conversion problem with confidence.
But that's not all! To reinforce your learning, we'll work through a variety of solved questions together, applying the methods and techniques discussed earlier. Each solution will be presented in a clear, step-by-step manner, allowing you to follow along easily and understand the reasoning behind each calculation.
By the end of this lecture, you'll have a solid grasp of unit conversion, equipped with the knowledge and skills to tackle any conversion problem thrown your way. Get ready to become a unit conversion master!
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This is an introductory-level microlearning course aimed at explaining what responsible AI is, why it's important, and how Google implements responsible AI in their products. It also introduces Google's 7 AI principles.
1. A hammer exerts a force of 1.5 N on each of the two nails A and B. The area of cross section of tip of nail A is 2 mm2 while that of nail B is 6 mm2. Calculate pressure on each nail in pascal. Ans. On A : 7.5 x 105 pascal, On B : 2.5 x 105 pascal.
2. A block of iron of mass 7.5 kg and of dimensions 12 cm x 8 cm x 10 cm is kept on a table top on its base of side 12 cm x 8 cm. Calculate : (a) thrust and (b) pressure exerted on the table top. Take 1 kgf = 10 N. Ans. (a) 75 N (13) 7812.5 Pa
3. A vessel contains water up to a height of 1.5 m. Taking the density of water 103 kg 110, "acceleration due to gravity 9.8 m s-2 and area of base of vessel 100 cm2, calculate : (a) the pressure and (b) the thrust, at the base of vessel. Ans. (a) 1.47 x 104 N m2 (b) 147 N
4. The area of base of a cylindrical vessel is 300 cm2. Water (density = 1000 kg m-3) is poured into it up to a depth of 6 cm. Calculate : (a) the pressure and (b) the thrust of water on the base. (g = 10 m s2). Ans. (a) 600 Pa, (b) 18 N
5. (a) Calculate the height of a water column which will exert on its base the same pressure as the 70 cm column of mercury. Density of mercury is 13.6 g cm-3. (b) Will the height of the water column in part (a) change if the cross section of the water column is made wider ? Ans. (a) 9.52 m (b) No