Waves Test

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Waves Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

Which phenomenon is observed due to the change in speed of wave when it strikes the another medium's boundary ?

A
Reflection

B
Refraction

C
Polarization

D
Diffraction

E
Interference

Solution

The phenomenon of refraction is observed when a wave hits another boundary's medium. The speed of the waves decrease in optically denser medium, and hence the wavelength of the wave. This causes bending of the ray of light.
Question 2
1 / -0

Two stretched strings have lengths l and 2l while tension are T and 4T respectively. If they are made of same material the ratio of their frequency is:

A
2 : 1

B
1 : 2

C
1 : 1

D
1 : 4

Solution

Frequency is given by
$$\displaystyle v=\frac { 1 }{ 2l } \sqrt { \frac { T }{ \mu } } $$
$$\displaystyle \therefore $$ First frequency $$\displaystyle { v }_{ 1 }=\frac { 1 }{ 2l } \sqrt { \frac { T }{ \mu } } $$
and second frequency $$\displaystyle { v }_{ 2 }=\frac { 1 }{ 4l } \sqrt { \frac { 4T }{ \mu } } $$
$$\displaystyle \therefore $$ hence, the ratio of frequencies $$\displaystyle \frac { { v }_{ 1 } }{ { v }_{ 2 } } =1:1$$
Question 3
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Find out the wavelength of a light wave travelling at $$3 \times {10}^{8} {m}/{s}$$ has a frequency of $$6 \times {10}^{15} Hz$$.

A
$$5 \times {10}^{-8} m$$

B
$$2 \times {10}^{-7} m$$

C
$$5 \times {10}^{-7} m$$

D
$$5 \times {10}^{-6} m$$

E
$$2 \times {10}^{7} m$$

Solution

We know that , velocity $$= $$ wavelength $$\times$$ frequency
So, wavelength $$=\dfrac{3\times 10^8}{6\times 10^{15}}=5\times 10^{-8} m$$
Question 4
1 / -0

Fill the vacant space with the suitable option. A wave transfers ______from one location to another.

A
energy, but not matter

B
matter, but not energy

C
both energy and matter

D
neither energy nor matter

E
Waves do not transfer anything across locations.

Solution

A wave transfers energy from one place to another. Consider the ripples in water. The water itself(matter) remains in the same position, however the ripples(energy) get transported form one location to another.
Question 5
1 / -0

Which of the following wave parameter measures the height of the wave crest ?

A
amplitude

B
wavelength

C
period

D
speed

E
frequency

Solution

Height of the crests or depth of the troughs of a wave is known as the amplitude of that wave.
Question 6
1 / -0

The amplitude of the wave shown above is:

A
8.0 m

B
2.0 m

C
4.0 m

D
1.0 m

E
0.5 m

Solution

Amplitude of the wave is equal to either height of crests or depth of troughs.
From figure, height of crests or depth of trough is $$2$$ m.
$$\implies$$ Amplitude of the wave is $$2$$ m.
Question 7
1 / -0

Orange light has a wavelength of $$6 \times 10^{-7}m$$. What is its frequency? The speed of light is $$3 \times 10^{8}m/s$$.

A
$$2 \times 10^{15} Hz$$

B
$$2 \times 10^{-15} Hz$$

C
$$5 \times 10^{14} Hz$$

D
$$ 5\times 10^{-14} Hz$$

E
$$2 \times 10^{14} Hz$$

Solution

The relation between frequency and wavelength is $$v=f\lambda$$
Here, $$v=c=3\times 10^8 m/s $$ , speed of light and wavelength $$\lambda=6\times 10^{-7} m$$
Thus, frequency $$f=\dfrac{c}{\lambda}=\dfrac{3\times 10^8}{6\times 10^{-7}}=5\times 10^{14}$$ Hz
Question 8
1 / -0

When a wave travelling in the air gets refracted by another medium. Identify which of the properties will change due to refraction?
I. Speed
II. Wavelength
III. Frequency

A
I only

B
II only

C
I and II only

D
II and III only

E
I, II, and III

Solution

When a wave passes from one medium to another medium via refraction, then the speed and wavelength of the wave change but its frequency remains the same.
Hence option C is correct.
Question 9
1 / -0

A wave is travelling on a string as shown in the figure. Find out the amplitude of the wave ?

A
0.5m

B
1.0m

C
2.0m

D
4.0m

E
6.0m

Solution

Amplitude of the wave is equal to either height of crest or depth of trough.
From figure, height of crest or depth of trough $$ = \dfrac{1.0}{2} =0.5$$ m
Thus amplitude of wave is 0.5 m
Question 10
1 / -0

If a wave has frequency $$f=10^{14} Hz$$ and speed v = 100 m/s, what is its wavelength?

A
$$10^{-16}m$$

B
$$10^{-12}m$$

C
$$10^{10}m$$

D
$$10^{12}m$$

E
$$10^{16}m$$

Solution

Given : $$f = 10^{14}$$ Hz $$v =100$$ m/s
Thus wavelength of the wave $$\lambda = \dfrac{v}{f} = \dfrac{100}{10^{14}} =10^{-12}$$ m

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Re-Attempt Weekly Quiz Competition

Waves Test - 16

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Waves Test - 16

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Question 1

Reflection

Refraction

Polarization

Diffraction

Interference

Solution

Question 2

2 : 1

1 : 2

1 : 1

1 : 4

Solution

Question 3

$$5 \times {10}^{-8} m$$

$$2 \times {10}^{-7} m$$

$$5 \times {10}^{-7} m$$

$$5 \times {10}^{-6} m$$

$$2 \times {10}^{7} m$$

Solution

Question 4

energy, but not matter

matter, but not energy

both energy and matter

neither energy nor matter

Waves do not transfer anything across locations.

Solution

Question 5

amplitude

wavelength

period

speed

frequency

Solution

Question 6

8.0 m

2.0 m

4.0 m

1.0 m

0.5 m

Solution

Question 7

$$2 \times 10^{15} Hz$$

$$2 \times 10^{-15} Hz$$

$$5 \times 10^{14} Hz$$

$$ 5\times 10^{-14} Hz$$

$$2 \times 10^{14} Hz$$

Solution

Question 8

I only

II only

I and II only

II and III only

I, II, and III

Solution

Question 9

0.5m

1.0m

2.0m

4.0m

6.0m

Solution

Question 10

$$10^{-16}m$$

$$10^{-12}m$$

$$10^{10}m$$

$$10^{12}m$$

$$10^{16}m$$

Solution

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