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JEE Main Physics Exam Prep

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JEE Main Physics Exam Prep

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Sample questions with model answers

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4 marks Medium answer

Maximum amplitude in a standing wave is 6cm. A point P is between a node and the immediate next antinode, dividing the distance in the ratio 1:2 Amplitude at P is _____ cm

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2 cm

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4 marks Medium answer

In a closed organ pipe of length 105cm, standing waves corresponding to the third overtone are set up. What is the distance of the closest pressure node from the closed end ? (in cm)

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21 cm

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4 marks Medium answer

Two sound source emitting sound of wavelength 1m are located at points P and Q as shown in figure. All sides of the polygon are equal and of length 1m. The intensity of sound at M due to both the individual sources is $I_0$. The intensity of sound at point M when both the sources are on is $mI_0$. value of m is

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4

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4 marks Medium answer

A student is experimenting with resonance tube apparatus in Physics lab to find the speed of sound at room temperature. He got resonating lengths of air column as 17 cm and 51 cm, using tuning fork of frequency 512 Hz. If speed of sound at room temperature is $12v m/s$. Find $v$.

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34 m/s

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4 marks Medium answer

A point source is situated in a medium of bulk modulus $1.6 \times 10^5 \ N/m^2$. An observer standing at a distance 10 meter from the source, writes down the equation for the wave as $y = A \sin(15\pi x - 6000\pi t)$ here y and x are in the meter and t is in second. The pressure amplitude received at the observer's ear is $24\pi$ Pa. The displacement amplitude A of the wave received at the observer is ________ $\mu m$

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0.32 \mu m

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1 marks Short answer

An open pipe and a closed pipe have same length. The ratio of $p^{th}$ overtones of two pipes is

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$\frac{2(p+1)}{2p+1}$

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1 marks Short answer

A source x of unknown frequency produces 8 beats with a source of 250 Hz and 12 beats with a source of 270 Hz. The frequency of source x is

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262 Hz

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1 marks Short answer

A cylindrical tube open both ends has a fundamental frequency 'n' in air. The tube is dipped vertically in water so that one-fourth of it is immersed in water. The fundamental frequency of air column is

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n/3

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1 marks Short answer

An open pipe resonates to a fundamental frequency $f_1$ and a closed pipe resonates to a fundamental frequency $f_2$. If they are joined together to form a longer tube, then it will resonate to a fundamental frequency of (neglect end correction)

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$\frac{f_1 f_2}{f_2 + 2f_1}$

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1 marks Short answer

An open organ pipe has length $l$. The air in it is vibrating in $3^{rd}$ overtone with maximum amplitude A. the amplitude at a distance of $\frac{l}{16}$ from any open end is.

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Zero

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1 marks Short answer

A closed pipe and an open pipe of same length produce 2 beats, when they are set into vibration simultaneously in their fundamental mode. If the length of the open pipe is halved, and that of closed pipe is doubled, and if they are vibrating in the fundamental mode, then the number of beats produced is

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4

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1 marks Short answer

A rod PQ of length 'L' is hung from two identical wires A and B. A block of mass 'm's hung at point R of the rod as shown in figure. The value of 'x' so that the fundamental mode in wire A is in resonance with first overtone of B is (x is the distance between P and R)

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$\frac{L}{4}$

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1 marks Short answer

A detector is moving in a circular path of radius r in anticlockwise direction with a constant angular velocity $\omega$ as shown in the figure. At time t=0, it starts from the location shown at A, assuming source at rest, The time at which the detector will hear the maximum frequency for the $1^{st}$ time

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$\frac{\pi}{2\omega}$

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1 marks Short answer

A sound wave of wavelength 0.40 m enters the tube at S. the smallest radius r of the circular segment to hear minimum at detector D must be

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0.175 m

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1 marks Short answer

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

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75 cm

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1 marks Short answer

A resonance tube is old has jagged end. It is still used in the laboratory to determine velocity of sound in air. A tuning fork of frequency 512 Hz produces first resonance when the tube is filled with water to a mark 11cm below a reference mark, near the open end of the tube. The experiment is repeated with another fork of frequency 256 Hz which produces first resonance when water reaches a mark 27cm below the reference mark. The velocity of sound in air, obtained in the experiment, is close to

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$328ms^{-1}$

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1 marks Short answer

A train moving towards a hill at a speed of $72 \ km/hr$ sounds a whistle of frequency $500Hz$. A wind is blowing from the hill at a speed $36 \ km/hr$. If the speed of sound in air is $340 \ m/s$, the frequency heard by a man on the hill is

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532.25 Hz

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1 marks Short answer

A man is watching two trains, one leaving and the other coming in with equal speeds of $4 \ m/sec$. If they sound their whistles, each of frequency $240 \ Hz$, the number of beats heard by the man (velocity of sound in air = $320 \ m/sec$) will be equal to

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6

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1 marks Short answer

The displacement-time graphs for two sound waves A and B are shown in the figure, then the ratio of their intensities $\frac{I_A}{I_B}$ is equal to:

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1:4

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1 marks Short answer

The power of a sound from the speaker of a radio is 20 m W. By turning the knob of the volume control, the power of the sound is increased to 400 mW. The power increase in decibels as compared to the original power is:

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13 dB

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1 marks Short answer

A closed organ pipe of length L and an open organ pipe contain gases of densities $\rho_1$ and $\rho_2$ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe is :

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$\frac{4L}{3} \sqrt{\frac{\rho_2}{\rho_1}}$

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