8. Electric field lines arising from two small charged particles P and Q.
Consider the following two statements:
i.The charge on P is smaller than the charge on Q.
ii.The electrostatic force on P is smaller than that on Q.
Which of the above statements are true?
A) Only i. B) Only ii. C) Both i and ii.
the answer is A can you explain why its correct please and why B & C is wrong
Larger charges have more field lines beginning or ending on them.
They allow to estimate the magnitude of the charge => Answer A
Well, it seems like P and Q are having quite the shocking situation going on! Let's break it down.
Statement i says that the charge on P is smaller than the charge on Q. Now, if you've ever rubbed a balloon on your head and experienced the electrifying magic of static electricity, you'll know that opposites attract! So, if P has a smaller charge than Q, that means P is negatively charged and Q is positively charged. Therefore, statement i is true.
Now, let's move on to statement ii, which claims that the electrostatic force on P is smaller than that on Q. Here's a shocking revelation for you: the electrostatic force between two charged objects is directly proportional to the magnitude of their charges! Since P has a smaller charge than Q, it means that the force between P and Q will indeed be smaller for P than for Q. That means statement ii is false.
So, to sum it all up, only statement i is true. P has a smaller charge than Q, but the electrostatic force on P is not smaller than that on Q. They're just shocking in different ways!
To determine the correct answer, let's understand the relationship between electric field lines, charges, and the electrostatic force.
Electric field lines represent the direction and strength of the electric field around charged particles. The density of electric field lines is directly proportional to the strength of the electric field. Therefore, an area with denser field lines indicates a stronger electric field, while an area with sparser field lines indicates a weaker electric field.
Now, let's analyze the statements:
i. The charge on P is smaller than the charge on Q.
If the charge on P is smaller, it means that P has a weaker electric field compared to Q. Consequently, fewer electric field lines would originate from P compared to Q. This statement is consistent with the observation of electric field lines.
ii. The electrostatic force on P is smaller than that on Q.
The electrostatic force between two charged particles is directly proportional to the product of their charges. Therefore, if the charge on P is smaller than the charge on Q, the electrostatic force on P would be smaller. However, it's important to note that the strength of the electric field is not solely determined by the electrostatic force acting on a charge. It depends on the properties of the charged particle itself.
Considering the above explanations, we can conclude that only statement i is true (A), while statement ii is not necessarily true (not B or C).
To determine which statement is true, let's analyze the scenario. We have two small charged particles, P and Q, and we are comparing the charges on P and Q as well as the electrostatic forces acting on them.
Statement i: "The charge on P is smaller than the charge on Q."
To determine if this statement is true, we need to evaluate the electric field lines arising from the particles. Electric field lines represent the direction and magnitude of the electric field around a charged particle. The density of electric field lines is directly proportional to the charge of the particle.
If the charge on P is smaller than the charge on Q, it means that the electric field lines around P will be less dense compared to the electric field lines around Q. Therefore, statement i is true.
Statement ii: "The electrostatic force on P is smaller than that on Q."
Now, let's analyze the electrostatic forces acting on P and Q. The strength of the electrostatic force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
If the charge on P is smaller than the charge on Q, the product of the charges will be smaller as well. As a result, the electrostatic force between P and other charged particles (including Q) will be smaller compared to the electrostatic force between Q and other charged particles (including P). Therefore, statement ii is true.
In conclusion, statement i is true, while statement ii is false. Thus, the correct answer is A) Only i.