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All questions of December Week 3 for Class 10 Exam

The potential difference of a circuit is constant. If the resistance of a circuit is doubled, then its current will become;
  • a)
    4 I
  • b)
    I/2
  • c)
    2 I
  • d)
    I
Correct answer is 'B'. Can you explain this answer?

According to ohm's law
Current (I) = Potential difference (V) / Resistance(R)

If the potential difference is maintained constant and the resistance is changed,

Cureent (I) is inversely proportinal to the reisistance (R)


V = IR  --(1)

Now, here V is constant.
Let , new resistance R' = 2R and assume that current flow be I'
So, from (1),
IR = I'. R',
=> IR = I'. 2R,
Therefore, I' = I / 2

So,

If the resistance is doubled by applying the constant potential difference the current becomes the half of the previous.

What factor besides per capita income is crucial in assessing the development of different states?
  • a)
    Literacy rate
  • b)
    Net Attendance Ratio
  • c)
    Infant Mortality Rate
  • d)
    Life expectancy
Correct answer is option 'A'. Can you explain this answer?

The literacy rate is a vital factor in evaluating the development of states as it reflects the educational attainment and human capital, which are essential for overall progress and societal well-being.

What is a key indicator often used alongside income to measure development?
  • a)
    Unemployment rate
  • b)
    Life expectancy
  • c)
    GDP growth rate
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Life expectancy is a crucial indicator used in conjunction with income to assess development levels. It reflects the overall health and well-being of a population, indicating the quality of life and access to healthcare services.

Which factor must remain constant for Ohm's Law to be valid?
  • a)
    Voltage
  • b)
    Current
  • c)
    Temperature
  • d)
    Resistance
Correct answer is option 'C'. Can you explain this answer?

Gowri Mehta answered
Understanding Ohm's Law
Ohm’s Law is a fundamental principle in electrical engineering and physics, stating that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. The relationship is expressed as:
I = V/R
To ensure the validity of Ohm's Law, certain conditions must be maintained.
Constant Temperature
- Resistance Variation: Resistance is influenced by temperature. As temperature increases, the resistance of most conductors also increases, leading to a deviation from Ohm's Law. Therefore, for Ohm's Law to hold true, resistance must remain constant, which is generally achieved by maintaining a constant temperature.
- Material Properties: Different materials exhibit different resistive properties at varying temperatures. For example, metals typically exhibit increased resistance with rising temperatures, while semiconductors may behave differently.
- Practical Implications: In practical circuits, if the temperature changes significantly, the resistance may vary, thus affecting the current for a given voltage. This is particularly important in electronic devices and circuits where temperature control is essential for performance.
Other Factors
- Voltage (a): While voltage can vary, Ohm's Law still applies as long as the other conditions are met.
- Current (b): Similar to voltage, current can change; it is the result of the interplay between voltage and resistance.
- Resistance (d): Resistance can vary based on the material and dimensions of the conductor, but for Ohm’s Law to be valid, it must remain constant, which is primarily controlled by temperature.
In conclusion, the constant temperature ensures that resistance remains unchanged, making Ohm's Law applicable.

If a wire follows Ohm's Law, what type of graph is obtained when potential difference (V) is plotted against current (I)?
  • a)
    A curved line
  • b)
    A straight line passing through the origin
  • c)
    A horizontal line
  • d)
    A vertical line
Correct answer is option 'B'. Can you explain this answer?

Gowri Mehta answered
Understanding Ohm's Law
Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points, provided the temperature remains constant. Mathematically, it is expressed as:
V = I * R
where R is the resistance.
Graphical Representation
When you plot the potential difference (V) against the current (I):
- Type of Graph: The graph results in a straight line.
Key Points about the Graph
- Straight Line: The linear nature indicates that as current increases, voltage also increases proportionally.
- Passes Through the Origin: The straight line intersects the origin (0,0). This signifies that when there is no current (I=0), there is also no voltage (V=0).
- Slope Represents Resistance: The slope of the line represents the resistance (R) of the wire. A steeper slope indicates higher resistance.
Conclusion
The straight line passing through the origin confirms that the wire obeys Ohm's Law, demonstrating a consistent relationship between voltage and current. Thus, option 'B' is indeed the correct answer.

People have different ________ of development.
  • a)
    explanations
  • b)
    notions
  • c)
    expectations
  • d)
    aspirations
Correct answer is option 'B'. Can you explain this answer?

Pooja chauhan answered
Understanding the Correct Answer: Notions
When discussing development, the term "notions" is the most fitting choice to describe the varied perspectives people hold. Here's why:
What Does "Notions" Mean?
- "Notions" refers to ideas, beliefs, or concepts that individuals may have about a particular subject.
- In the context of development, it signifies the different interpretations and understandings people possess regarding what development entails.
Why Not the Other Options?
- Explanations: This term suggests a rationale or reasoning behind development, which is too narrow to capture the broad range of beliefs people have.
- Expectations: While many have expectations about development, this term implies a sense of anticipation or demand rather than an understanding or belief system.
- Aspirations: Aspirations relate more to personal goals and desires for the future, rather than how one perceives the concept of development itself.
Conclusion
Choosing "notions" highlights the subjective and diverse interpretations people have regarding development. It acknowledges that development is not a one-size-fits-all concept; instead, it varies based on individual experiences, cultural backgrounds, and societal influences. Thus, the correct answer, "notions," effectively encapsulates the complexity of how development is perceived by different individuals.

The potential difference of a circuit is constant. If the resistance of a circuit is doubled, then its current will become;
  • a)
    4 I
  • b)
    I/2
  • c)
    2 I
  • d)
    I
Correct answer is option 'B'. Can you explain this answer?

Krithika Iyer answered
According to ohm's law
Current (I) = Potential difference (V) / Resistance(R)
If the potential difference is maintained constant and the resistance is changed,
Cureent (I) is inversely proportinal to the reisistance (R)
V = IR                     --(1) 
Now, here V is constant.
Let , new resistance R' = 2R and assume that current flow be I'
So, from (1),
IR = I'. R',
=> IR = I'. 2R,
Therefore, I' = I / 2

Why is it important to calculate the average income, or per capita income, when comparing countries' development levels?
  • a)
    To compare the total income of countries
  • b)
    To determine the total population of each country
  • c)
    To understand what an average person earns in different countries
  • d)
    To rank countries based on their total income
Correct answer is option 'C'. Can you explain this answer?
?

Kajal verma answered
Importance of Average Income in Development Comparisons
Calculating average income, or per capita income, is crucial for understanding the economic well-being of individuals in different countries. Here’s why option 'C' is the correct answer:
Understanding Individual Earnings
- Average Income Definition: Per capita income represents the average income earned per person in a specific area, typically a country.
- Standard of Living Indicator: It serves as a key indicator of the standard of living in a country, allowing for a comparison of economic prosperity among nations.
Comparative Analysis
- Economic Equality: By focusing on average income, we can gauge how wealth is distributed among the populace, providing insights into income inequality.
- Development Level: Higher per capita income often correlates with better access to education, healthcare, and overall quality of life, making it a vital measure for assessing development levels.
Policy Implications
- Targeted Policies: Understanding average income helps governments and organizations in crafting policies aimed at improving economic conditions for citizens.
- Global Comparisons: It allows policymakers to compare their country’s development with that of others, facilitating international cooperation and aid.
Conclusion
In summary, calculating average income is essential for grasping what an average person earns in different countries. This understanding goes beyond mere numbers; it reflects the economic realities that individuals face, influencing both policy decisions and quality of life assessments on a global scale.

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