Maths-
General
Easy
Question
Hint:
In this question we have to find the range of the given equation. For this we will first simplify the given equation then we know that
, using this we can find the range.
The correct answer is: 
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does not exist Extreme Values; 
does not exist Extreme Values; 
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The minimum and maximum values of
are
The minimum and maximum values of
are
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The minimum and maximum values of
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A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is
is

In a closed organ pipe in which length of air-column can be increased or decreased, the first resonance occurs at
and second resonance occurs at 
Thus, at first resonance

And a second resonance



Subtracting Eq.(i) from Eq.(ii), we have



Hence, frequency of tuning fork

Thus, at first resonance
And a second resonance


Subtracting Eq.(i) from Eq.(ii), we have
Hence, frequency of tuning fork
A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is
is

physics-General
In a closed organ pipe in which length of air-column can be increased or decreased, the first resonance occurs at
and second resonance occurs at 
Thus, at first resonance

And a second resonance



Subtracting Eq.(i) from Eq.(ii), we have



Hence, frequency of tuning fork

Thus, at first resonance
And a second resonance


Subtracting Eq.(i) from Eq.(ii), we have
Hence, frequency of tuning fork
physics-
In a sine wave, position of different particles at time
is shown in figure. The equation for this wave travelling along positive
can be

As is clear from figure, at
, displacement
. Therefore, option (a)or (d)may be correct.
In case of (d);




.
And slope at
and
is positive, in figure. Therefore, particle velocity is in negative y-direction.
In case of (d);
And slope at
In a sine wave, position of different particles at time
is shown in figure. The equation for this wave travelling along positive
can be

physics-General
As is clear from figure, at
, displacement
. Therefore, option (a)or (d)may be correct.
In case of (d);




.
And slope at
and
is positive, in figure. Therefore, particle velocity is in negative y-direction.
In case of (d);
And slope at
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The function 
is
The function 
is
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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
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The period of the function
is
The period of the function
is
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In any
=
In any
=
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In
=
In
=
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In 
In 
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If the period of
is
then n=
If the period of
is
then n=
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