Waves Test

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Waves Test - 19

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Weekly Quiz Competition

Question 1
1 / -0

The relation between frequency $$\upsilon$$, wavelength $$\lambda$$ and velocity of propagation of wave $$\nu$$ is

A
$$\upsilon = \dfrac{\lambda}{\nu}$$

B
$$\upsilon = \lambda \nu$$

C
$$\upsilon = \dfrac{\nu}{\lambda}$$

D
None of these

Solution

Velocity of the wave,
$$\nu = \upsilon \lambda$$ or $$\upsilon = \dfrac{\nu}{\lambda}$$
Question 2
1 / -0

Ultrasonic waves produced by a vibrating quartz crystal are:

A
only longitudinal

B
only transverse

C
both longitudinal and transverse

D
neither longitudinal nor transverse

Solution

Ultrasonic waves produced by a vibrating quartz crystal are longitudinal.
Question 3
1 / -0

Regarding open organ pipe, which of following is correct?

A
Both ends are pressure antinodes

B
Both ends are displacement nodes

C
Both ends are pressure nodes

D
Both (1)and (2)

Solution

Regarding open pipe both ends are pressure nodes.
So, option $$C$$ is correct.
Question 4
1 / -0

A simple harmoinic motion is represented by $$F(t) = 10 \, \sin(10\tau + 0.5)$$. The amplitude of the S.H.M. is

A
$$a = 30$$

B
$$a = 20$$

C
$$a = 10$$

D
$$a = 5$$

Solution

We know that SHM is represented by
$$F(x,t)=Asin(wt-kx)$$
Here,
$$A=amplitute$$
$$w=frequency$$
Given,
$$F(t)=10sin(10t+0.5)$$
By comparing both the equation we get
$$A=10$$
Correct option is C.
Question 5
1 / -0

In the equation $$y=A\sin{(kx-\omega t+{\phi}_{0})}$$ the term phase is defined as:

A
$${\phi}_{0}$$

B
$${\phi}_{0}-\omega t$$

C
$$kx+{\phi}_{0}$$

D
$$kx-\omega t-{\phi}_{0}$$

Solution

Given,
$$y=Asin(kx-\omega t+\phi_0)$$
In the equation, the term phase is defined as $$\phi_0$$.
The correct option is A.
Question 6
1 / -0

Displacement time equation of a particle executing SHM is x = A sin(wt + /6). Time taken by the particle to go directly from x = - A/2 to x = +A/2 is

A
$$\pi/\omega$$

B
$$\pi/3\omega$$

C
$$3\pi/\omega$$

D
$$\pi/2\omega$$

Solution

At t =0, the particle was at x = A sin (0 + /6) = A/2.

The particle reaches equilibrium at $$t= t_1$$. Thus $$0 = A sin (wt_1 + /6) or t_1 = -T/12$$. Since time taken cannot be negative, $$t_1 = T/12$$.

Similarly same time will be used to travel from mean position to +A/2. Thus, total time taken is $$2(T/12) = T/6 = \dfrac{\pi} {3w}$$

The correct option is (c)
Question 7
1 / -0

The equation of a simple harmonic motion is given by, $$ x=8 \,sin (8 \pi t)+6 cos (8 \pi t)$$, the initial phase angle is

A
$$tan^{-1} (4/3)$$

B
$$tan^{-1} (3/4)$$

C
$$tan^{-1} (2/3)$$

D
$$tan^{-1} (5/8)$$
Question 8
1 / -0

Two wave have amplitude ratio 10 : 1 then $$v_{1}/v_{2}$$ is (Approx) -

A
10 : 1

B
1 : 10

C
2 : 3

D
3 : 2
Question 9
1 / -0

A particle starts oscillating from position equal to half the amplitude. What is its initial phase?

A
$$\pi/6$$

B
$$\pi/3$$

C
zero

D
none of these
Question 10
1 / -0

A single wave is called

A
a wave pulse

B
a crest

C
a trough

D
a crest and a trough

Solution

A single wave is known as a pulse

The correct option is (a)

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Re-Attempt Weekly Quiz Competition

Waves Test - 19

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Waves Test - 19

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Question 1

$$\upsilon = \dfrac{\lambda}{\nu}$$

$$\upsilon = \lambda \nu$$

$$\upsilon = \dfrac{\nu}{\lambda}$$

None of these

Solution

Question 2

only longitudinal

only transverse

both longitudinal and transverse

neither longitudinal nor transverse

Solution

Question 3

Both ends are pressure antinodes

Both ends are displacement nodes

Both ends are pressure nodes

Both (1)and (2)

Solution

Question 4

$$a = 30$$

$$a = 20$$

$$a = 10$$

$$a = 5$$

Solution

Question 5

$${\phi}_{0}$$

$${\phi}_{0}-\omega t$$

$$kx+{\phi}_{0}$$

$$kx-\omega t-{\phi}_{0}$$

Solution

Question 6

$$\pi/\omega$$

$$\pi/3\omega$$

$$3\pi/\omega$$

$$\pi/2\omega$$

Solution

Question 7

$$tan^{-1} (4/3)$$

$$tan^{-1} (3/4)$$

$$tan^{-1} (2/3)$$

$$tan^{-1} (5/8)$$

Question 8

10 : 1

1 : 10

2 : 3

3 : 2

Question 9

$$\pi/6$$

$$\pi/3$$

zero

none of these

Question 10

a wave pulse

a crest

a trough

a crest and a trough

Solution

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