Waves Test

Result

Waves Test - 79

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Weekly Quiz Competition

Question 1
1 / -0

Creating wind breaks means

A
Cutting terraces on steep slopes

B
Cutting trees to increase the speed of wind

C
Planting a row of trees to reduce the speed of wind

D
Cutting plants in the direction of wind blow

Solution
Question 2
1 / -0

The resultant amplitude of a vibrating particle by the superposition of the two waves $$ y_{1}=a \sin \left[\omega t+\frac{\pi}{3}\right] $$ and $$y_{2}=a \sin \omega t $$ is :

A
$$a$$

B
$$\sqrt{2} a$$

C
$$2a$$

D
$$

\sqrt{3} a

$$

Solution
Question 3
1 / -0

Two waves are represented by the equations $$y_{1} = a sin (\omega t+kx+0.57)m$$, $$y_{2} = a cos (\omega t+kx)m$$, where $$x$$ in meter and $$t$$ in sec. The phase difference between them is

A
$$0.57$$ radian

B
$$1.0$$ radian

C
$$1.25$$ radian

D
$$1.57$$ radian

Solution
Question 4
1 / -0

A wave of frequency 500$$\mathrm { Hz }$$ travels between $$\mathrm { X }$$and $$\mathrm { Y }$$ and travel a distance of 600$$\mathrm { m }$$ in 2$$\mathrm { sec }$$ . between $$X$$ and $$Y .$$ How many wavelength are there in distance $$X Y$$ :

A
1000

B
300

C
180

D
2000

Solution
Question 5
1 / -0

From a line source, if amplitude of a wave at a distance $$r$$ is $$A$$ , then the amplitude at a distance 4$$\mathrm { f }$$ will be -

A
$$2A$$

B
$$A$$

C
$$\mathrm { A } / 2$$

D
$$\mathrm { A } / 4$$

Solution
Question 6
1 / -0

The amplitude of a wave disturbance propagating along positive $$x$$ -axis is given bY $$y = \frac { 1 } { 1 + x ^ { 2 } }$$ at $$t = 0 s ;$$ and $$y = \frac { 1 } { 1 + ( x - 2 ) ^ { 2 } }$$ at $$t = 4$$ s. Where $$x$$ and $$y$$ are in meters. The shape of wave disturbance does not change with time. The velocity of the wave is:

A
60$$\pi \mathrm { m } / \mathrm { s }$$

B
30$$\pi \mathrm { cm } / \mathrm { s }$$

C
30$$\mathrm { cm } / \mathrm { s }$$

D
0.5$$\mathrm { m } / \mathrm { s }$$

Solution
Question 7
1 / -0

Two wave of the same amplitude and frequency arrive at a point simultaneously. If the amplitude of resultant wave is the same as that of the cach wave, then the initial phase difference of the waveis

A
$$( \sqrt { 2 } / 2 )$$ radian

B
$$( 2 \pi / 3 )$$radian

C
$$( 3 \pi / 4 )$$ radian

D
$$( \pi / 6 )$$ radian

Solution
Question 8
1 / -0

A plane progressive wave is shown in the adjoining phase diagram. The wave equation of this wave, if its position is shown at $$t = 0 ,$$ is:

A
$$y = 0.05 \sin 2 \pi ( 300 t - x )$$

B
$$y = 0.05 \sin 2 \pi ( 300 t + x )$$

C
$$y = 0.05 \sin 8 \pi ( 300 t + x )$$

D
$$y = 0.05 \sin 8 \pi ( 300 t - x )$$

Solution
Question 9
1 / -0

In the equation $$y = \sin \pi (20t + 2x)$$

A
$$T= 1 s , \lambda = 1m$$

B
$$n= 10 Hz , \lambda = 1m$$

C
$$ a= 1m , T= 0.05 s$$

D
$$a= 1m , \lambda = 1m$$

Solution
Question 10
1 / -0

A particle executes SHM with a time period of 16 s. At time $$t = 2 s ,$$ the particle crosses the mean position while at $$t = 4 s ,$$ its velocity is 4$$m s ^ { - 1 } .$$ The amplitude of motion in metre is

A
$$\sqrt { 2 } \pi$$

B
16$$\sqrt { 2 } \pi$$

C
32$$\sqrt { 2 } / \pi$$

D
4$$/ \pi$$

Solution