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Physics-

General

Easy

Question

The rope shown at an instant is carrying a wave travelling towards right, created by a source vibrating at a frequency $n.$ Consider the following statements

I.The speed of the wave is $4 n cross times a b$
II.The medium at $a$ will be in the same phase as $d$ after $fraction numerator 4 over denominator 3 n end fraction s$
III.The phase difference between $b$ and $e$ is $fraction numerator 3 pi over denominator 2 end fraction$
Which of these statements are correct

I, II and III
II only
I and III
III only

The correct answer is: I and III

Speed $equals n lambda equals n open parentheses 4 a b close parentheses equals 4 n cross times a b blank open square brackets A s blank a b equals fraction numerator lambda over denominator 4 end fraction close square brackets$
Path difference between $b$ and $e$ is $fraction numerator 3 lambda over denominator 4 end fraction$
So the phase difference $equals fraction numerator 2 pi over denominator lambda end fraction.$ Path difference
$equals fraction numerator 2 pi over denominator lambda end fraction. fraction numerator 3 lambda over denominator 4 end fraction equals fraction numerator 3 pi over denominator 2 end fraction$

Related Questions to study

Intensity level 200 cm from a source of sound is $80 blank d B.$ If there is no loss of acoustic power in air and intensity of threshold hearing is $10 to the power of negative 12 end exponent W m to the power of negative 2 end exponent$ then, what is the intensity level at a distance of 4000 cm from source

Intensity level 200 cm from a source of sound is $80 blank d B.$ If there is no loss of acoustic power in air and intensity of threshold hearing is $10 to the power of negative 12 end exponent W m to the power of negative 2 end exponent$ then, what is the intensity level at a distance of 4000 cm from source

physics-General

In a sonometer wire, the tension is maintained by suspending a 50.7 kg mass from the free end of the wire. The suspended mass has a volume of $0.0075 blank m to the power of 3 end exponent.$ The fundamental frequency of the wire is 260 Hz If the suspended mass is completely submerged in water, the fundamental frequency will become (take $g equals 10 blank m s to the power of negative 2 end exponent$ )

In a sonometer wire, the tension is maintained by suspending a 50.7 kg mass from the free end of the wire. The suspended mass has a volume of $0.0075 blank m to the power of 3 end exponent.$ The fundamental frequency of the wire is 260 Hz If the suspended mass is completely submerged in water, the fundamental frequency will become (take $g equals 10 blank m s to the power of negative 2 end exponent$ )

physics-General

If $ell$ ^r means (log log log......), the log being repeated r times, then
$not stretchy integral left curly bracket x l left parenthesis x right parenthesis l to the power of 2 end exponent left parenthesis x right parenthesis l to the power of 3 end exponent left parenthesis x right parenthesis.... l to the power of r end exponent left parenthesis x right parenthesis right curly bracket to the power of negative 1 end exponent d x$ is equal to

If $ell$ ^r means (log log log......), the log being repeated r times, then
$not stretchy integral left curly bracket x l left parenthesis x right parenthesis l to the power of 2 end exponent left parenthesis x right parenthesis l to the power of 3 end exponent left parenthesis x right parenthesis.... l to the power of r end exponent left parenthesis x right parenthesis right curly bracket to the power of negative 1 end exponent d x$ is equal to

parallel

A man standing between two parallel hills, claps his hand and hears successive echoes at regular intervals of 11s If velocity of sound is $340 m s to the power of negative 1 end exponent comma$ then the distance between the hills is

A man standing between two parallel hills, claps his hand and hears successive echoes at regular intervals of 11s If velocity of sound is $340 m s to the power of negative 1 end exponent comma$ then the distance between the hills is

physics-General

A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that $B O$ is equal to $´ ´ x ´ ´$ Further, it is observed that the frequency of 1^st harmonic (fundamental frequency) in AB is equal to 2^nd harmonic frequency in CD. Then, length of BO is

A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that $B O$ is equal to $´ ´ x ´ ´$ Further, it is observed that the frequency of 1^st harmonic (fundamental frequency) in AB is equal to 2^nd harmonic frequency in CD. Then, length of BO is

physics-General

If the velocity of sound in air is 336 m/s The maximum length of a closed pipe that would produce a just audible sound will be

If the velocity of sound in air is 336 m/s The maximum length of a closed pipe that would produce a just audible sound will be

physics-General

parallel

If $not stretchy integral fraction numerator sin invisible function application x over denominator sin invisible function application left parenthesis x minus alpha right parenthesis end fraction d x equals$ Ax + B log sin (x – $alpha$ ) + c, then value of (A, B) is –

If $not stretchy integral fraction numerator sin invisible function application x over denominator sin invisible function application left parenthesis x minus alpha right parenthesis end fraction d x equals$ Ax + B log sin (x – $alpha$ ) + c, then value of (A, B) is –

If $integral$ x sin x dx = – x cos x + $alpha$ , then $alpha$ =

If $integral$ x sin x dx = – x cos x + $alpha$ , then $alpha$ =

The equation of the tangent to the parabola y = (x – 3)² parallel to the chord joining the points (3, 0) and (4, 1) is -

The equation of the tangent to the parabola y = (x – 3)² parallel to the chord joining the points (3, 0) and (4, 1) is -

parallel

The line x + y = a touches the parabola y = x – x², and f (x) = sin² x + sin² $open parentheses x plus fraction numerator pi over denominator 3 end fraction close parentheses$ + cosx cos $open parentheses x plus fraction numerator pi over denominator 3 end fraction close parentheses$ , g $open parentheses fraction numerator 5 over denominator 4 end fraction close parentheses$ = 1, b = (gof) (x), then

The line x + y = a touches the parabola y = x – x², and f (x) = sin² x + sin² $open parentheses x plus fraction numerator pi over denominator 3 end fraction close parentheses$ + cosx cos $open parentheses x plus fraction numerator pi over denominator 3 end fraction close parentheses$ , g $open parentheses fraction numerator 5 over denominator 4 end fraction close parentheses$ = 1, b = (gof) (x), then

If θ be the angle subtended at the focus by the normal chord at the point (λ,λ ),λ ≠ 0 on the parabola y² = 4ax, then equation of the line through (1, 2) and making and angle θ with x-axis is

If θ be the angle subtended at the focus by the normal chord at the point (λ,λ ),λ ≠ 0 on the parabola y² = 4ax, then equation of the line through (1, 2) and making and angle θ with x-axis is

The length of a focal chord of the parabola y² = 4ax at a distance b from the vertex is c. Then

The length of a focal chord of the parabola y² = 4ax at a distance b from the vertex is c. Then

parallel

The equation of common tangent to the parabolas y² = 4ax and x² = 4by is

The equation of common tangent to the parabolas y² = 4ax and x² = 4by is

A line L passing through the focus of the parabola y² = 4(x –1) intersects the parabola in two distinct points. If 'm' be the slope of the line L then

A line L passing through the focus of the parabola y² = 4(x –1) intersects the parabola in two distinct points. If 'm' be the slope of the line L then

The triangle formed by tangent to the parabola y = x² at the point whose abscissa is x₀ (where x₀ $element of$ [1, 2]), the y-axis and the straight line y = x₀² has the greatest area if x₀ is equal to-

The triangle formed by tangent to the parabola y = x² at the point whose abscissa is x₀ (where x₀ $element of$ [1, 2]), the y-axis and the straight line y = x₀² has the greatest area if x₀ is equal to-

parallel

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