These days many school exams / professional qualification exams, consist
of questions with 4 Multiple Choice
answers, of which, one answer is the RIGHT answer and the other three answer-choices
are WRONG
An examinee is expected to choose just any ONE option
Till some time ago ( and , in many cases , even now ) , such Questions
and their respective 4 answer-options, were constructed manually by a teacher
However of late , this task is gradually being taken over by Artificial Intelligence (
AI ) , using a huge database of questions to choose from
But what about those 4 Multiple Choice “ Answers “ ?
I suppose , for those , there are no huge databanks of “ answers “ from
which to select , one correct and three “ incorrect “ answers
I have no clue , but that made me carry out following experiment
I posed to different AI , same “ Question “ and asked each
to generate 4 “ Answer Options “ of which one is
right and the other three are wrong
Following is the outcome of my little experiment
Dear Parents / Teachers :
Some of you will notice that different AI seem to have come up with different “ CORRECT ANSWERS “ to , what purports to be
the SAME QUESTION ?
Whereas I do not rule out the possibility of “ hallucination “ , the
more likely explanation for this ( seeming difference of opinion ) is > The way this question got re-structured by each AI, it could lend itself to different
interpretations – and , therefore different answers
But that should not deter you from turning this into a FUN GAME for your
School-going children
There is no better way to make their minds, CURIOUS – INQUISITIVE –
INQUIRING
With regards,
Hemen Parekh
05 Oct 2024 / www.My-Teacher.in
My Question :
When an object is shot from the bottom of a long smooth inclined plane
kept at an angle 60º with horizontal, it can travel a distance x1 along the
plane. But when the inclination is decreased to 30º and the same object is shot
with the same velocity, it can travel x2 distance. Then xx12: will be
ANSWER-OPTIONS SUBMITTED BY VARIOUS AI PLATFORMS :
( 1 ) www.My-Teacher.in
x12: will be
2:1
1:3 .. Correct
1:2
1:2
Using the third equation of motion and the relationships for inclined motion, we derive that for case (I) with angle 60º, the distance travelled is given by ººººººx1=u22gsin(60º) and for case (II) with angle 30º, it is ººººººx2=u22gsin(30º).
The ratio is then ººººººººººººx1x2=sin(60º)sin(30º)=3/21/2=3:1,
simplifying gives the answer 1:3.
( 2 ) ChatGPT
Good
Morning!
I do
remember our chat yesterday about reverse engineering.
Let's dive
into this interesting physics problem you’ve shared. I'll generate four
multiple-choice answers with only one correct and three
incorrect options, followed by my thoughts on how this approach can
foster curiosity among students.
Question:
An object is shot from the bottom of a long smooth inclined plane kept at an
angle 60º with the horizontal. It can travel a distance x1x_1x1 along the plane. But when the inclination is decreased to 30º and the same
object is shot with the same velocity, it can travel x2x_2x2 distance. What will x1x2\frac{x_1}{x_2}x2x1 be?
Multiple Choice Answers:
1.
x1x2=1\frac{x_1}{x_2} = 1x2x1=1 ( Wrong Answer )
2.
x1x2=2\frac{x_1}{x_2} = 2x2x1=2 ( Wrong Answer )
3.
x1x2=3\frac{x_1}{x_2} = \sqrt{3}x2x1=3 ( Right Answer
)
4.
x1x2=13\frac{x_1}{x_2} = \frac{1}{\sqrt{3}}x2x1=31 ( Wrong Answer )
Explanation:
When the
same object is shot with the same velocity but at different inclinations, the
distances covered along the plane differ due to the change in inclination.
Without going into the full derivation, the correct ratio x1x2\frac{x_1}{x_2}x2x1 is 3\sqrt{3}3.
Should Teachers Use This Approach to Spark Curiosity?
Absolutely! This approach can be highly effective in making students
curious and engaged for several reasons:
1.
Encourages Critical Thinking:
By presenting both correct and incorrect options, students are prompted to analyse
each option carefully, increasing their understanding of concepts.
2.
Promotes Active Learning:
Students aren’t just passively memorizing answers. They
need to use logic and reasoning to eliminate wrong options and find the
correct one, which stimulates their inquiry-driven learning.
3.
Fosters Curiosity:
Encountering wrong answers challenges students to ask, "Why is this option wrong?" which leads to a
deeper investigation of the subject matter.
4.
Builds Confidence:
When students successfully identify the correct answer after analysing the
options, it builds their confidence and motivates further exploration.
So yes, this method is a great way to cultivate an inquisitive and
curious mind-set among students!
( 3 ) GEMINI
Prompt:
Create a
multiple-choice question with four options for a physics problem, where only
one option is correct.
Question:
When an
object is shot from the bottom of a long smooth inclined plane kept at an angle
60º with horizontal, it can travel a distance x1 along the plane. But when the
inclination is decreased to 30º and the same object is shot with the same
velocity, it can travel x2 distance. Then x1/x2 will be:
Options:
1.
1/3 Wrong Answer
2. 1/√3 Right Answer
3.
√3 Wrong Answer
4.
3 Wrong Answer
Explanation:
The distance travelled by an object on an inclined plane depends on the sine of
the angle. So, x1/x2 = sin 60º / sin 30º = √3/1 = √3.
Regarding
school teachers adopting this method:
Yes, school teachers should
definitely adopt this method of presenting questions with multiple
choices.
It can stimulate curiosity and critical thinking among students.
By providing
multiple options, teachers can encourage students
to analyse and evaluate different possibilities, leading to a deeper
understanding of the subject matter.
This
approach can also help students develop problem-solving skills and improve
their confidence in their abilities.
( 4 ) PERPLEXITY
Absolutely!
Here's a multiple-choice question based on your scenario regarding the
distances travelled along inclined planes at different angles:
Question
When
an object is shot from the bottom of a long smooth inclined plane kept at an
angle of 60º with the horizontal, it can travel a distance x1x1 along the plane. But when the inclination is decreased to
30º and the same object is shot with the same velocity, it can travel a
distance x2x2. What is the ratio x1x2x2x1?
Options
1.
A)
1:2 - Wrong
Answer
2.
B)
2:1 - Right Answer
3.
C)
1:√3 - Wrong
Answer
4.
D)
√3:1 - Wrong
Answer
Explanation
The
correct answer is x1x2=2:1x2x1=2:1. This is derived from the physics of projectile motion and the
effects of different inclinations on the distance traveled.
On
Teaching Methods
Incorporating
multiple-choice questions like this can indeed foster
curiosity and inquisitiveness among students. Here are a few reasons
why:
·
Critical
Thinking: Students must analyse each
option, enhancing their critical thinking skills.
·
Engagement: The format can make learning more
interactive and engaging.
·
Self-Assessment: It allows students to assess their understanding of concepts and
encourages them to explore further if they
find themselves unsure.
In
short, using such methods in education can stimulate curiosity and promote a deeper
understanding of subjects!
( 5 ) META
Here are four
multiple-choice options for the question:
Option A: x1/x2
= 2 - Wrong Answer
Option B: x1/x2 = 1 - Wrong Answer
Option C: x1/x2 = √3 - Right
Answer
Option D: x1/x2 = 3 - Wrong Answer
Explanation:
When the object
is shot from the bottom of the inclined plane, it travels under the sole
influence of gravity. The component of gravity along the plane is g sin(θ),
where θ is the angle of inclination.
At 60º, the
acceleration along the plane is g sin(60º) = g√3/2.
At 30º, the
acceleration along the plane is g sin(30º) = g/2.
Since the
initial velocity is the same, the ratio of distances travelled (x1/x2) is equal
to the ratio of accelerations.
x1/x2 = (g√3/2)
/ (g/2) = √3
This method of
questioning encourages critical thinking, problem-solving, and analytical skills, making
students curious,
inquisitive, and inquiring.
It's an excellent approach for teachers to adopt!
Such questions
help students:
1.
Develop problem-solving strategies
2.
Apply concepts to real-world
scenarios
3.
Think creatively
4.
Build confidence in their
abilities
By incorporating
open-ended and
thought-provoking questions, teachers can foster a deeper
understanding of concepts and promote a love for learning.