The equation of a stationary wave is $y=0.8\mathrm{cos}\text{\hspace{0.17em}}\left(\frac{\pi x}{20}\right)\mathrm{sin}200\text{\hspace{0.17em}}\pi t$, where x is in cm and t is in sec. The separation between consecutive nodes will be :

(1) 20 cm

(2) 10 cm

(3) 40 cm

(4) 30 cm

Concept Questions :-

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

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A wave represented by the given equation $y=a\mathrm{cos}\left(kx-\omega \text{\hspace{0.17em}}t\right)$ is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is :

(1) $y=a\mathrm{sin}\left(kx+\omega \text{\hspace{0.17em}}t\right)$

(2) $y=-a\mathrm{cos}\left(kx+\omega \text{\hspace{0.17em}}t\right)$(3) $y=-a\mathrm{cos}\left(kx-\omega \text{\hspace{0.17em}}t\right)$

(4) $y=-a\mathrm{sin}\left(kx-\omega \text{\hspace{0.17em}}t\right)$

Concept Questions :-

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

Difficulty Level:

A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance 1.21 Å between them. The wavelength of the standing wave is :

(1) 1.21 Å

(2) 2.42 Å

(3) 6.05 Å

(4) 3.63 Å

Concept Questions :-

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

Difficulty Level:

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

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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