Test: Waves (October 16) - NEET MCQ

# Test: Waves (October 16) - NEET MCQ

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## 10 Questions MCQ Test Daily Test for NEET Preparation - Test: Waves (October 16)

Test: Waves (October 16) for NEET 2024 is part of Daily Test for NEET Preparation preparation. The Test: Waves (October 16) questions and answers have been prepared according to the NEET exam syllabus.The Test: Waves (October 16) MCQs are made for NEET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Waves (October 16) below.
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Test: Waves (October 16) - Question 1

### A plane sound wave is travelling in a medium. In a reference frame A fixed  to the medium , its equation is  y = a cos(ωt − kx ) . With respect to reference frame B, moving with a constant velocity v in the direction of propagation of the wave, equation of the wave will be

Detailed Solution for Test: Waves (October 16) - Question 1

Suppose at an instant t, the x – coordinate of a point with reference to moving frame is x0. Since at this moment, origin of moving frame is at distance vt from origin of the fixed reference frame, therefore, putting this value of x in the given equation, we get

y = a cos[ωt − k (vt − x )]

y = a cos[(ωt − kv)t − kx ]

Test: Waves (October 16) - Question 2

### A sinusoidal wave is generated by moving the end of a string up and down, periodically. The generator must apply the energy at maximum rate when the end of the string attached  to generator has X and least power when the end of the string attached to generator has Y. The most suitable option which correctly fills blanks X and Y, is

Detailed Solution for Test: Waves (October 16) - Question 2

Power for a travelling wave on a string is given by

For the displacement wave, y = A sin (kx – ωt)

Power delivered is maximum when cos2(kx – ωt) is maximum, which would be the case when sin (kx – ωt) is the least, i.e., displacement is minimum (acceleration is minimum).  Power delivered is minimum when cos2(kx – ωt) is minimum, which would be when sin(kx - cos2(kx – ωt)t) is maximum, i.e displacement is maximum(acceleration is maximum).

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Test: Waves (October 16) - Question 3

### A stationary observer receives sonic oscillations from two tuning forks, one of which approaches and the other recedes with same speed. As this takes place the observer hears the beat frequency of 2 Hz. Find the speed of each tuning fork,(assuming it is very small when compared to sound) if their oscillation frequency is 680 Hz and the velocity of sound in air is 340 m/s.

Detailed Solution for Test: Waves (October 16) - Question 3

Test: Waves (October 16) - Question 4

A string of length 1.5 m with its two ends clamped is vibrating in fundamental mode. Amplitude at the centre of the string is 4 mm. Distance between the two points having  amplitude 2 mm is:

Detailed Solution for Test: Waves (October 16) - Question 4

Equation of standing wave ( As x=0 is taken as a node)

y = 2A sin kx cos ωt

y= A as amplitude is 2A

A = 2A sin kx

Test: Waves (October 16) - Question 5

A string of length ℓ is fixed at both ends. It is vibrating in its 3rd overtone with maximum amplitude ‘a’. The amplitude at a distance l /3 from one end is :

Detailed Solution for Test: Waves (October 16) - Question 5

Test: Waves (October 16) - Question 6

The figure shows at time t = 0, a rectangular and triangular pulse on a  uniform wire are approaching each other. The pulse speed is 0.5 cm/s. The resultant pulse at t = 2 second
is

Detailed Solution for Test: Waves (October 16) - Question 6

At t=2 second, the position of both pulses are separately given by fig(a) and fig(b); he superposition of both pulses is given by fig (c)

Test: Waves (October 16) - Question 7

Four waves are described by equations as follow

and their resultant wave is calculated as Y = Y1 + Y2 + Y3 + Y4 such as Y = A1 cos ( ωt − kx + φ ) then………..(symbols have their usual meanings)

Detailed Solution for Test: Waves (October 16) - Question 7

Test: Waves (October 16) - Question 8

A 100 m long rod of density 10.0 x 104 kg/m3 and having Young’s modules Y = 1011 Pa,   is clamped at one end. It is hammered at the other free end. The longitudinal pulse goes to right end, gets reflected and again returns to the left end. How much time, the pulse take to go back to initial point.

Detailed Solution for Test: Waves (October 16) - Question 8

The velocity of a wave in any rod is given by,

Note that we should take twice the length of the rod since we want time take by the wave to return back to the initial point.

Test: Waves (October 16) - Question 9

An aluminium wire of length 60cm is joined to a steel wire of length 80 cm and stretched between two fixed supports.

The tension produced is 40 N. The cross – sectional areas of the steel and aluminium wires are 1.0mm2 and 3.0mm2 respectively. The densities of steel and aluminium are 7.8 g / cm3 and 2.6 g / cm3 respectively. The frequency of  first overtone of this composite wire with the joint as a node is nearly

Detailed Solution for Test: Waves (October 16) - Question 9

Test: Waves (October 16) - Question 10

Figure shown is a graph, at a certain time t, of the displacement function S ( x, t ) of three sound waves 1,2 and 3 as marked on the curves that travel along x-axis through air. If P1, P2 and P3 represent their pressure oscillation amplitudes respectively, then correct relation between them is:

Detailed Solution for Test: Waves (October 16) - Question 10

Thus pressure amplitude is highest for minimum wavelength, other parameters B and S0 being  same

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