# The equation of a stationary wave is $$y = 0.8 ~cos\left(\frac{\pi x}{20}\right)sin200(\pi t)$$, where $$x$$ is in cm and $$t$$ is in sec. The separation between consecutive nodes will be: 1. $$20~\text{cm}$$ 2. $$10~\text{cm}$$ 3. $$40~\text{cm}$$ 4. $$30~\text{cm}$$

Subtopic:  Standing Waves |
76%
From NCERT
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 closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio:

 1 1 : 2 2 2 : 3 3 3 : 4 4 4 : 5
Subtopic:  Standing Waves |
73%
From NCERT
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

Three waves of equal frequency having amplitudes of 10 μm, 4 μm and 7 μm arrive at a given point with a successive phase difference of $\frac{\pi }{2}$. The amplitude of the resulting wave in μm is given by:
1. 7
2. 6
3. 5
4. 4

Subtopic:  Standing Waves |
60%
From NCERT
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

An organ pipe that is closed at one end has a fundamental frequency of 1500 Hz. The maximum number of overtones generated by this pipe that a normal person can hear is:

 1 14 2 13 3 6 4 9
Subtopic:  Standing Waves |
59%
From NCERT
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 tuning forks, A and B, vibrating simultaneously produce 5 beats. The frequency of B is 512 Hz. It is seen that if one arm of A is filed a little, then the number of beats increases. The frequency of A in Hz will be:

 1 502 2 507 3 517 4 522
Subtopic:  Beats |
70%
From NCERT
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

Tuning fork $$F_1$$ has a frequency of 256 Hz and it is observed to produce 6 beats/second with another tuning fork $$F_2$$. When $$F_2$$ is loaded with wax, it still produces 6 beats/second with $$F_1$$. The frequency of $$F_2$$ before loading was:
1. 253 Hz
2. 262 Hz
3. 250 Hz
4. 259 Hz

Subtopic:  Beats |
70%
From NCERT
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 waves are propagating to the point P along a straight line produced by two sources, A and B, of simple harmonic and equal frequency. The amplitude of every wave at P is ‘a’ and the phase of A is ahead by π/3 than that of B, and the distance AP is greater than BP by 50 cm. If the wavelength is 1 meter, then the resultant amplitude at point P will be:
1. 2a
2. $a\sqrt{3}$
3. $a\sqrt{2}$
4. a

Subtopic:  Standing Waves |
From NCERT
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 equation of a progressive wave is given by $$y = 4\sin\left\{ \pi\left(\frac{t}{5}-\frac{x}{9}\right)+\frac{\pi}{6}\right\}$$, where $$x$$ and $$y$$ are in metres and $$t$$ in seconds.
Which of the following is correct​​​​?
1. $$v = 5~\text{m/s}$$
2. $$\lambda = 18~\text{m}$$
3. $$A = 0.04~\text{m}$$
4. $$\nu= 50~\text{Hz}$$
Subtopic:  Wave Motion |
85%
From NCERT
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 wave equations of two particles are given by $$y_1=a\sin(\omega t-kx), y_2 = a \sin(kx+\omega t),$$ then:
 1 they are moving in the opposite direction. 2 the phase between them is $$90^{\circ}$$. 3 the phase between them is $$45^{\circ}$$. 4 the phase between them is $$0^{\circ}$$.
Subtopic:  Wave Motion |
79%
From NCERT
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 displacement of a particle is given by $$y = 5\times 10^{-4}\sin(100t-50x),$$ where $$x$$ is in metres and $$t$$ is in seconds. The velocity of the wave is:
1. $$5000~\text{m/s}$$
2. $$2~\text{m/s}$$
3. $$0.5~\text{m/s}$$
4. $$300~\text{m/s}$$
Subtopic:  Wave Motion |
89%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints