5cos theta+3cos(theta-(pi)/(3))+8epsilon -Turito

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General

Easy

Maths-

$5 cos space theta plus 3 cos space open parentheses theta minus pi over 3 close parentheses plus 8 element of$

Maths-General

$[- 7, 1]$
$[1, 8]$
$[2, 15]$
$[1, 15]$

Answer:The correct answer is: $left square bracket 1 comma 15 right square bracket$

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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 $350 m s to the power of negative 1 end exponent$ is

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

lambda divided by 4

and second resonance occurs at

3 lambda divided by 4.

Thus, at first resonance

fraction numerator lambda over denominator 4 end fraction equals 13 blank horizontal ellipsis open parentheses i close parentheses

And a second resonance

fraction numerator 3 lambda over denominator 4 end fraction equals 41 blank horizontal ellipsis open parentheses i i close parentheses

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

fraction numerator 3 lambda over denominator 4 end fraction minus fraction numerator lambda over denominator 4 end fraction equals 41 minus 13

⟹ fraction numerator lambda over denominator 2 end fraction equals 28

therefore blank lambda equals 56 blank c m

Hence, frequency of tuning fork

v equals fraction numerator v over denominator lambda end fraction equals fraction numerator 350 over denominator 56 cross times 10 to the power of negative 2 end exponent end fraction equals 365 blank H z

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 $350 m s to the power of negative 1 end exponent$ is

physics-General

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

lambda divided by 4

and second resonance occurs at

3 lambda divided by 4.

Thus, at first resonance

fraction numerator lambda over denominator 4 end fraction equals 13 blank horizontal ellipsis open parentheses i close parentheses

And a second resonance

fraction numerator 3 lambda over denominator 4 end fraction equals 41 blank horizontal ellipsis open parentheses i i close parentheses

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

fraction numerator 3 lambda over denominator 4 end fraction minus fraction numerator lambda over denominator 4 end fraction equals 41 minus 13

⟹ fraction numerator lambda over denominator 2 end fraction equals 28

therefore blank lambda equals 56 blank c m

Hence, frequency of tuning fork

v equals fraction numerator v over denominator lambda end fraction equals fraction numerator 350 over denominator 56 cross times 10 to the power of negative 2 end exponent end fraction equals 365 blank H z

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As is clear from figure, at

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In case of (d);

y equals A sin invisible function application left parenthesis k x minus omega t right parenthesis

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is positive, in figure. Therefore, particle velocity is in negative y-direction.

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physics-General

As is clear from figure, at

t equals 0 comma x equals 0

y equals 0

. 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

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

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

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