Physics-
General
Easy
Question
In a sine wave, position of different particles at time
is shown in figure. The equation for this wave travelling along positive
can be
![](data:image/png;base64,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)
The correct answer is: ![y equals A blank s i n invisible function application left parenthesis k x minus omega t right parenthesis](data:image/png;base64,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)
As is clear from figure, at
, displacement
. Therefore, option (a)or (d)may be correct.
In case of (d);![y equals A sin invisible function application left parenthesis k x minus omega t right parenthesis](data:image/png;base64,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)
![fraction numerator d y over denominator d t end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets negative omega close square brackets](data:image/png;base64,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)
![fraction numerator d y over denominator d x end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets k close square brackets](data:image/png;base64,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)
![fraction numerator fraction numerator d y over denominator d t end fraction over denominator d y divided by d x end fraction equals fraction numerator negative omega A cos invisible function application left parenthesis k x minus omega t right parenthesis over denominator k A cos invisible function application left parenthesis k x minus omega t right parenthesis end fraction equals negative fraction numerator omega over denominator k end fraction equals negative v](data:image/png;base64,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)
![fraction numerator d y over denominator d t end fraction equals negative v open parentheses fraction numerator d y over denominator d x end fraction close parentheses](data:image/png;base64,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)
.
And slope at
and
is positive, in figure. Therefore, particle velocity is in negative y-direction.
Related Questions to study
Maths-
The function ![sin space open parentheses x squared close parentheses](data:image/png;base64,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)
is
The function ![sin space open parentheses x squared close parentheses](data:image/png;base64,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)
is
Maths-General
Maths-
The period of the function
where [.] de-notes the greatest integer function, is
The period of the function
where [.] de-notes the greatest integer function, is
Maths-General
Maths-
The period of the function
is
The period of the function
is
Maths-General
Maths-
In any
=
In any
=
Maths-General
Maths-
In
=
In
=
Maths-General
Maths-
In ![straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals](data:image/png;base64,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)
In ![straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals](data:image/png;base64,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)
Maths-General
Maths-
If the period of
is
then n=
If the period of
is
then n=
Maths-General
Maths-
Let
where
where [ ] is the integral part of x. If the period of f(x) is
, then ![a element of](data:image/png;base64,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)
Let
where
where [ ] is the integral part of x. If the period of f(x) is
, then ![a element of](data:image/png;base64,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)
Maths-General
physics-
Which of the following options is correct for the object having a straight line motion represented by the following graph
![](data:image/png;base64,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)
Which of the following options is correct for the object having a straight line motion represented by the following graph
![](data:image/png;base64,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)
physics-General
physics-
A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
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)
A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
![](data:image/png;base64,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)
physics-General
physics-
A particle is moving with uniform acceleration along a straight line. The average velocity of the particle from
to
is
and that from
to
is
. If
, then the average velocity from
to
is
![](data:image/png;base64,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)
A particle is moving with uniform acceleration along a straight line. The average velocity of the particle from
to
is
and that from
to
is
. If
, then the average velocity from
to
is
![](data:image/png;base64,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)
physics-General
chemistry-
i)
ii)
iii)
iv)
Which of the statements are correct?
i)
ii)
iii)
iv)
Which of the statements are correct?
chemistry-General
physics-
A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time (
)
A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time (
)
physics-General
Maths-
The value of integer n for which the function
has
as its period is
The value of integer n for which the function
has
as its period is
Maths-General
Maths-
Maths-General