# For a wave $$y=y_0 \sin (\omega t-k x)$$, for what value of $$\lambda$$ is the maximum particle velocity equal to two times the wave velocity? 1. $$\pi y_0$$ 2. $$2\pi y_0$$ 3. $$\pi y_0/2$$ 4. $$4\pi y_0$$

Subtopic:  Wave Motion |
73%
From NCERT
AIPMT - 1998
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Two stationary sources exist, each emitting waves of wavelength λ. If an observer moves from one source to the other with velocity u, then the number of beats heard by him is equal to:

1. $\frac{2u}{\lambda }$

2. $\frac{u}{\lambda }$

3. $\sqrt{\mu \lambda }$

4. $\frac{\mu }{2\lambda }$

Subtopic:  Beats |
58%
From NCERT
AIPMT - 2000
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A string is cut into three parts, having fundamental frequencies n1, n2, and nrespectively. The original fundamental frequency "n" is related by the expression:

1. $\frac{1}{n}=\frac{1}{{n}_{1}}+\frac{1}{{n}_{2}}+\frac{1}{{n}_{3}}$

2. $n={n}_{1}×{n}_{2}×{n}_{3}$

3. $n={n}_{1}+{n}_{2}+{n}_{3}$

4. $n=\frac{{n}_{1}+{n}_{2}+{n}_{3}}{3}$

Subtopic:  Standing Waves |
84%
From NCERT
AIPMT - 2000
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The equations of two waves are given as x = acos(ωt + δ) and y = a cos (ωt + $\alpha$), where δ = $\alpha$ + $\pi$/2, then the resultant wave can be represented by:

1. a circle (c.w)

2. a circle (a.c.w)

3. an ellipse (c.w)

4. an ellipse (a.c.w)

Subtopic:  Standing Waves |
52%
From NCERT
AIPMT - 2000
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Two vibrating tuning forks produce progressive waves given by $$Y_1 = 4 ~\mathrm{sin}~500 \pi \mathrm{t}$$ and $$Y_2 = 2 ~\mathrm{sin}~506 \pi \mathrm{t}$$. The number of beats produced per minute is:

 1 $$3$$ 2 $$360$$ 3 $$180$$ 4 $$60$$
Subtopic:  Beats |
57%
From NCERT
AIPMT - 2005
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

If a standing wave having 3 nodes and 2 antinodes is formed within 1.21 Å distance, then the wavelength of the standing wave will be:
1. 1.21 Å
2. 2.42 Å
3. 0.605 Å
4. 4.84 Å

Subtopic:  Standing Waves |
78%
From NCERT
AIPMT - 1998
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A point source emits sound equally in all directions in a non-absorbing medium. Two points, P and Q, are at distances of $$2$$ m and $$3$$ m, respectively, from the source. The ratio of the intensities of the waves at P and Q is:
1. $$3:2$$
2. $$2:3$$
3. $$9:4$$
4. $$4:9$$

Subtopic:  Energy of Waves |
73%
From NCERT
AIPMT - 2005
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A cylindrical tube (L = 125 cm) is resonant with a tuning fork at a frequency of 330 Hz. If it is filled with water, then to get the resonance again, the minimum length of the water column will be: $\left({v}_{air}$ $=$ $330$ $m/s\right)$

 1 50 cm 2 60 cm 3 25 cm 4 20 cm
Subtopic:  Standing Waves |
From NCERT
AIPMT - 1999
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The phase difference between two waves, represented by
$\begin{array}{l}{\mathrm{y}}_{1}={10}^{-6}\mathrm{sin}\left\{100\mathrm{t}+\left(\mathrm{x}/50\right)+0.5\right\}\mathrm{m}\\ {\mathrm{y}}_{2}={10}^{-6}\mathrm{cos}\left\{100\mathrm{t}+\left(\frac{\mathrm{x}}{50}\right)\right\}\mathrm{m}\end{array}$
where X is expressed in metres and t is expressed in seconds, is approximate:

Subtopic:  Wave Motion |
59%
From NCERT
AIPMT - 2004
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

If a wave is travelling in a positive X-direction with A = 0.2 m, velocity = 360 m/s, and λ = 60 m, then the correct expression for the wave will be:

 1 $$\mathrm{y}=0.2 \sin \left[2 \pi\left(6 \mathrm{t}+\frac{\mathrm{x}}{60}\right)\right]$$ 2 $$\mathrm{y}=0.2 \sin \left[ \pi\left(6 \mathrm{t}+\frac{\mathrm{x}}{60}\right)\right]$$ 3 $$\mathrm{y}=0.2 \sin \left[2 \pi\left(6 \mathrm{t}-\frac{\mathrm{x}}{60}\right)\right]$$ 4 $$\mathrm{y}=0.2 \sin \left[ \pi\left(6 \mathrm{t}-\frac{\mathrm{x}}{60}\right)\right]$$
Subtopic:  Wave Motion |
85%
From NCERT
AIPMT - 2002
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints