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WAVES

172204 The phase velocity of a wave described by the equations $ψ = ψ_{0} \sin (k x + ω t + π / 2)$ is

1

x / t

2

ψ_{0} / ω

3

ω / k

4

π / 2 k

5

ψ_{0}

Explanation:

C Given, $ψ = ψ_{0} \sin (kx + ω t + \frac{π}{2})$
We know,
Phase velocity of wave $= \frac{Angular frequency}{Propagation constant}$
Hence, $v = \frac{ω}{k}$

Kerala CEE - 2017

WAVES

172180 The speed of a wave in a certain medium is 960 $m / s$ . If 900 waves pass over a certain point of the medium in half a minute, the wavelength of the wave is

1

16 m

2

32 m

3

9 m

4

18 m

Explanation:

B Given,
$v = 960 m / s$
900 waves passes in 0.5 minute or $30 \sec$
Frequency, $f = \frac{900}{30} = 30 Hz$
Wavelength $(λ) = \frac{v}{f} = \frac{960}{30} = 32 m$

MHT-CET 2020

WAVES

172158 A transverse wave is represented by $y =$ $Asin (k x - ω t)$ . The velocity of the wave is given by

1

kx

2

k / ω

3

wt

4

ω / k

Explanation:

D From the equation $y = a \sin (ω t - kx)$
$\frac{dy}{dt} = a ω \cos (ω t - kx) - - - (i)$
$and \frac{dy}{dx} = - ak \cos (ω t - kx) - - - (ii)$
By dividing eq (i)\&(ii)
$\frac{d y}{d t} \times \frac{d x}{d y} = \frac{d x}{d t} = \frac{ω \cos (ω t - k x)}{a k \cos (ω t - k x)} = \frac{ω}{k}$
(Neglecting - ev sign)
Velocity of wave $[v = \frac{dx}{dt} = \frac{ω}{k}]$

AP EAMCET-03.09.2021

WAVES

172161 Which of the following properties of a wave is independent of other?

1 Velocity

2 Frequency

3 Amplitude

4 Wave length

Explanation:

C The amplitude is independent of wavelength, frequency and velocity of wave.
i.e. $v = n λ$
where, $v =$ velocity
$n =$ frequency
$λ =$ wavelength

AP EAMCET (Medical)-05.10.2021

WAVES

172204 The phase velocity of a wave described by the equations $ψ = ψ_{0} \sin (k x + ω t + π / 2)$ is

1

x / t

2

ψ_{0} / ω

3

ω / k

4

π / 2 k

5

ψ_{0}

Explanation:

C Given, $ψ = ψ_{0} \sin (kx + ω t + \frac{π}{2})$
We know,
Phase velocity of wave $= \frac{Angular frequency}{Propagation constant}$
Hence, $v = \frac{ω}{k}$

Kerala CEE - 2017

WAVES

172180 The speed of a wave in a certain medium is 960 $m / s$ . If 900 waves pass over a certain point of the medium in half a minute, the wavelength of the wave is

1

16 m

2

32 m

3

9 m

4

18 m

Explanation:

B Given,
$v = 960 m / s$
900 waves passes in 0.5 minute or $30 \sec$
Frequency, $f = \frac{900}{30} = 30 Hz$
Wavelength $(λ) = \frac{v}{f} = \frac{960}{30} = 32 m$

MHT-CET 2020

WAVES

172158 A transverse wave is represented by $y =$ $Asin (k x - ω t)$ . The velocity of the wave is given by

1

kx

2

k / ω

3

wt

4

ω / k

Explanation:

D From the equation $y = a \sin (ω t - kx)$
$\frac{dy}{dt} = a ω \cos (ω t - kx) - - - (i)$
$and \frac{dy}{dx} = - ak \cos (ω t - kx) - - - (ii)$
By dividing eq (i)\&(ii)
$\frac{d y}{d t} \times \frac{d x}{d y} = \frac{d x}{d t} = \frac{ω \cos (ω t - k x)}{a k \cos (ω t - k x)} = \frac{ω}{k}$
(Neglecting - ev sign)
Velocity of wave $[v = \frac{dx}{dt} = \frac{ω}{k}]$

AP EAMCET-03.09.2021

WAVES

172161 Which of the following properties of a wave is independent of other?

1 Velocity

2 Frequency

3 Amplitude

4 Wave length

Explanation:

C The amplitude is independent of wavelength, frequency and velocity of wave.
i.e. $v = n λ$
where, $v =$ velocity
$n =$ frequency
$λ =$ wavelength

AP EAMCET (Medical)-05.10.2021

WAVES

172204 The phase velocity of a wave described by the equations $ψ = ψ_{0} \sin (k x + ω t + π / 2)$ is

1

x / t

2

ψ_{0} / ω

3

ω / k

4

π / 2 k

5

ψ_{0}

Explanation:

C Given, $ψ = ψ_{0} \sin (kx + ω t + \frac{π}{2})$
We know,
Phase velocity of wave $= \frac{Angular frequency}{Propagation constant}$
Hence, $v = \frac{ω}{k}$

Kerala CEE - 2017

WAVES

172180 The speed of a wave in a certain medium is 960 $m / s$ . If 900 waves pass over a certain point of the medium in half a minute, the wavelength of the wave is

1

16 m

2

32 m

3

9 m

4

18 m

Explanation:

B Given,
$v = 960 m / s$
900 waves passes in 0.5 minute or $30 \sec$
Frequency, $f = \frac{900}{30} = 30 Hz$
Wavelength $(λ) = \frac{v}{f} = \frac{960}{30} = 32 m$

MHT-CET 2020

WAVES

172158 A transverse wave is represented by $y =$ $Asin (k x - ω t)$ . The velocity of the wave is given by

1

kx

2

k / ω

3

wt

4

ω / k

Explanation:

D From the equation $y = a \sin (ω t - kx)$
$\frac{dy}{dt} = a ω \cos (ω t - kx) - - - (i)$
$and \frac{dy}{dx} = - ak \cos (ω t - kx) - - - (ii)$
By dividing eq (i)\&(ii)
$\frac{d y}{d t} \times \frac{d x}{d y} = \frac{d x}{d t} = \frac{ω \cos (ω t - k x)}{a k \cos (ω t - k x)} = \frac{ω}{k}$
(Neglecting - ev sign)
Velocity of wave $[v = \frac{dx}{dt} = \frac{ω}{k}]$

AP EAMCET-03.09.2021

WAVES

172161 Which of the following properties of a wave is independent of other?

1 Velocity

2 Frequency

3 Amplitude

4 Wave length

Explanation:

C The amplitude is independent of wavelength, frequency and velocity of wave.
i.e. $v = n λ$
where, $v =$ velocity
$n =$ frequency
$λ =$ wavelength

AP EAMCET (Medical)-05.10.2021

WAVES

172204 The phase velocity of a wave described by the equations $ψ = ψ_{0} \sin (k x + ω t + π / 2)$ is

1

x / t

2

ψ_{0} / ω

3

ω / k

4

π / 2 k

5

ψ_{0}

Explanation:

C Given, $ψ = ψ_{0} \sin (kx + ω t + \frac{π}{2})$
We know,
Phase velocity of wave $= \frac{Angular frequency}{Propagation constant}$
Hence, $v = \frac{ω}{k}$

Kerala CEE - 2017

WAVES

172180 The speed of a wave in a certain medium is 960 $m / s$ . If 900 waves pass over a certain point of the medium in half a minute, the wavelength of the wave is

1

16 m

2

32 m

3

9 m

4

18 m

Explanation:

B Given,
$v = 960 m / s$
900 waves passes in 0.5 minute or $30 \sec$
Frequency, $f = \frac{900}{30} = 30 Hz$
Wavelength $(λ) = \frac{v}{f} = \frac{960}{30} = 32 m$

MHT-CET 2020

WAVES

172158 A transverse wave is represented by $y =$ $Asin (k x - ω t)$ . The velocity of the wave is given by

1

kx

2

k / ω

3

wt

4

ω / k

Explanation:

D From the equation $y = a \sin (ω t - kx)$
$\frac{dy}{dt} = a ω \cos (ω t - kx) - - - (i)$
$and \frac{dy}{dx} = - ak \cos (ω t - kx) - - - (ii)$
By dividing eq (i)\&(ii)
$\frac{d y}{d t} \times \frac{d x}{d y} = \frac{d x}{d t} = \frac{ω \cos (ω t - k x)}{a k \cos (ω t - k x)} = \frac{ω}{k}$
(Neglecting - ev sign)
Velocity of wave $[v = \frac{dx}{dt} = \frac{ω}{k}]$

AP EAMCET-03.09.2021

WAVES

172161 Which of the following properties of a wave is independent of other?

1 Velocity

2 Frequency

3 Amplitude

4 Wave length

Explanation:

C The amplitude is independent of wavelength, frequency and velocity of wave.
i.e. $v = n λ$
where, $v =$ velocity
$n =$ frequency
$λ =$ wavelength

AP EAMCET (Medical)-05.10.2021