In stationary waves, the distance between a node and its nearest antinode is 20 cm. The phase difference between two particles having a separation of 60 cm will be :

(1) Zero

(2) π/2

(3) π

(4) 3π/2

Concept Questions :-

Standing waves
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A standing wave is represented by

$Y=A\mathrm{sin}\left(100t\right)\mathrm{cos}\left(0.01x\right)$

where Y and A are in millimetre, t is in seconds and x is in metre. The velocity of the wave is :

(1) 104 m/s

(2) 1 m/s

(3) 10–4 m/s

(4) Not derivable from the above data

Concept Questions :-

Standing waves
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Two waves are approaching each other with a velocity of 20 m/s and frequency n. The distance between two consecutive nodes is :

(1) $\frac{20}{n}$

(2) $\frac{10}{n}$

(3) $\frac{5}{n}$

(4) $\frac{n}{10}$

Concept Questions :-

Standing waves
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The stationary wave produced on a string is represented by the equation $y=5\mathrm{cos}\left(\pi x/3\right)\mathrm{sin}40\pi t$ where x and y are in cm and t is in seconds. The distance between consecutive nodes is :

1. 5 cm

2. π cm

3. 3 cm

4. 40 cm

Concept Questions :-

Standing waves
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The following equations represent progressive transverse waves ${Z}_{1}=A\mathrm{cos}\left(\omega \text{\hspace{0.17em}}t-kx\right)$, ${Z}_{2}=A\mathrm{cos}\left(\omega \text{\hspace{0.17em}}t+kx\right)$, ${Z}_{3}=A\mathrm{cos}\left(\omega \text{\hspace{0.17em}}t+ky\right)$ and ${Z}_{4}=A\mathrm{cos}\left(2\omega \text{\hspace{0.17em}}t-2ky\right)$. A stationary wave will be formed by superposing :

(1) Z1 and Z2

(2) Z1 and Z4

(3) Z2 and Z3

(4) Z3 and Z4

Concept Questions :-

Standing waves
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Two traveling waves ${y}_{1}=A\mathrm{sin}\left[k\left(x-c\text{\hspace{0.17em}}t\right)\right]$ and ${y}_{2}=A\mathrm{sin}\left[k\left(x+c\text{\hspace{0.17em}}t\right)\right]$ are superimposed on the string. The distance between adjacent nodes is :

(1) ct / π

(2) ct / 2π

(3) π / 2k

(4) π / k

Concept Questions :-

Standing waves
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A string fixed at both ends is vibrating in two segments. The wavelength of the corresponding wave is :

(1) $\frac{l}{4}$

(2) $\frac{l}{2}$

(3) l

(4) 2l

Concept Questions :-

Standing waves
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A 1 cm long string vibrates with the fundamental frequency of 256 Hz. If the length is reduced to $\frac{1}{4}cm$  keeping the tension unaltered, the new fundamental frequency will be :

(1) 64

(2) 256

(3) 512

(4) 1024

Concept Questions :-

Travelling wave on string
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Difficulty Level:

Standing waves are produced in a 10 m long stretched string. If the string vibrates in 5 segments and the wave velocity is 20 m/s, the frequency is :

(1) 2 Hz

(2) 4 Hz

(3) 5 Hz

(4) 10 Hz

Concept Questions :-

Standing waves
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A string is producing transverse vibration whose equation is $y=0.021\text{\hspace{0.17em}}\mathrm{sin}\left(x+30t\right)$, Where x and y are in meters and t is in seconds. If the linear density of the string is 1.3×10–4 kg/m, then the tension in the string in N will be :

(1) 10

(2) 0.5

(3) 1

(4) 0.117

Concept Questions :-

Travelling wave on string