The Question is from neet-physics nuclei , and it was created by the author Mr. ANIL KUMAR.G

Question

In hydrogen atom, the electron is moving round the nucleus with velocity $2.18 	imes {10^6}\;{m{m}}{{m{s}}^{ - 1}}$ in an orbit of radius $0.528\;{A^0}$. The acceleration of the electron is

Mr. ANIL KUMAR.G · Accepted Answer

## CORE INFORMATION
✓ **Answer**: B
## CONCEPT FRAMEWORK
	**Primary Concept**: Centripetal Acceleration
	**Related Topics**: Circular Motion, Velocity, Radius
	**Prerequisites**: Understanding of circular motion and the formula for centripetal acceleration.
## SOLUTION PATHWAY
**Given Information**:
	Velocity of electron (v) = $2.18 	imes 10^6 \; m/s$
	Radius of orbit (r) = $0.528 \; A^0 = 0.528 	imes 10^{-10} \; m$
**Method & Steps**:
	1. Identify the relevant formula for centripetal acceleration.
		Reasoning: In circular motion, the acceleration is directed towards the center of the circle and is given by $a = \frac{v^2}{r}$.
		Formula/Rule: $a = \frac{v^2}{r}$
	2. Substitute the given values into the formula.
		Working: $a = \frac{(2.18 	imes 10^6)^2}{0.528 	imes 10^{-10}} = \frac{4.7524 	imes 10^{12}}{0.528 	imes 10^{-10}}$
		Key Point: Ensure consistent units (meters and seconds).
	3. Calculate the acceleration.
		Result: $a = 9.0 	imes 10^{22} \; m/s^2$
		Verification: The result matches the correct answer option.
 ## OPTION ANALYSIS
[A] :x: Incorrect calculation of the acceleration.
[B] ✓: Correct calculation of the centripetal acceleration.
[C] :x: Incorrect magnitude and sign of the exponent.
[D] :x: Incorrect magnitude and sign of the exponent.
 ## LEARNING AIDS
	**Common Mistakes**:
		1. Incorrect unit conversion: Failing to convert Angstroms to meters.
			How to avoid: Always ensure all units are in the SI system before calculation.
		2. Incorrect calculation or exponent handling: Making errors while squaring the velocity or dividing by the radius.
			How to avoid: Double check numerical calculations and pay attention to the exponents.
	**Quick Tips**:
		1. Remember the centripetal acceleration formula: $a = \frac{v^2}{r}$.
		2. Use scientific notation while solving to avoid mistakes.

Mr. ANIL KUMAR.G · Answer

$9 	imes {10^{18}}{m{\;m}}{{m{s}}^{ - 2}}$

Mr. ANIL KUMAR.G · Answer

The correct Option is "$9 	imes {10^{22}}{m{\;m}}{{m{s}}^{ - 2}}$"

Mr. ANIL KUMAR.G · Answer

$9 	imes {10^{ - 22}}{m{\;m}}{{m{s}}^{ - 2}}$

Mr. ANIL KUMAR.G · Answer

$9 	imes {10^{12}}{m{\;m}}{{m{s}}^{ - 2}}$

NEET Physics Nuclei MCQs

Select Topic

Question Tags

Question Tags

Question Tags

Question Tags

Question Tags

Question Tags

Question Tags

Question Tags

Question Tags

Question Tags

NEET Subjects

Our Bots

Company