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### In this question we have to find the range of the given equation. For this we will first simplify the equation using some trigonometric identities then using we will 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 are

### The minimum and maximum values of are

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

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

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### The function is

### The function is

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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

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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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Maths-

### In =

### In =

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Maths-

### In

### In

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