Question:

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion (A) : The centre of mass of an electron and proton, when released moves faster towards proton. 

Reason (R) : This is because proton is heavier.

In the light of the above statements, choose the correct answer from the options given below

Updated On: Jun 23, 2023
  • If both assertion and reason are true and reason is the correct explanation of assertion
  • If both assertion and reason are true but reason is not the correct explanation of assertion
  • If assertion is true but reason is false
  • If both assertion and reason are false
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The Correct Option is D

Solution and Explanation

As $qE=\frac{mv^{2}}{r}$, $r=\frac{mv^{2}}{qE}$ $=\frac{2K}{qE}$ (where $K=\frac{1}{2}mv^{2}$ i.e, $r \propto\frac{1}{q}$ Since electron and proton have equal charge, r is the same for both of them Here, $r$ depends on $K$ (which is given to be the same for both the particles) and as such not on their masses
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Concepts Used:

Electric charges and field

What is Electric Charge

It is the property of subatomic particles that experiences a force when put in an electric and magnetic field.

What is Electric Field

It is a property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by E, called electric field strength or electric field intensity.

Electric charges are of two types: Positive and Negative. It is commonly carried by charge carriers protons and electrons.

Properties of Electric Charge

Various properties of charge include the following :-

Types of electric charge

Two kinds of electric charges are there :-

Negative Charge - When an object has a negative charge it means that it has more electrons than protons.

Positive Charge - When an object has a positive charge it means that it has more protons than electrons.

When there is an identical number of positive and negative charges, the negative and positive charges would cancel out each other and the object would become neutral.