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Practice Online Test Series for JEE Main 2018 & NEET 2018
Velocity of sound in air at the given temperature
A transverse wave along a string is given by `y=2sin(2pi(3t-x)+pi/4),` where x and y are in cm and 't' is in second. The acceleration of a particle located at x= 4 cm at t= 1s is
A transverse wave propagating on a stretched string of linear density `3xx10^(-4)` kg`m^(-1)` is represented by the equation `y = 0.2 sin (1.5x + 60t)` where x is in metre and t is in seconds. The tension in the string in N.
The equation `y = acos^2 (2pint-(2pix)/lambda)` represents a wave with
If the length of a stretched string is shortened by 40% and the tension is increased by 44%, then the ratio of the final and initial fundamental frequencies is:
The fundamental frequency of a stretched string with a weight of 9kg is 289 Hz. The weight required to produce its octave is
The ratio of speed of sound in Nitrogen gas to that in Helium gas at 300 K is (assume both gases to be ideal)
Two sound waves are represented by `y_1=sin omegat+cos omegat` and `y_2=sqrt3/2 sin omegat +1/2 cos omegat`. The ratio of their amplitudes is
A transverse wave is passing through a light string shown in the figure. The equation of wave is `y=Asin(omegat-kx)`. The area of cross-section of string is A and density is `rho`. The hanging mass is
A string of length `l` is fixed at both ends and its linear density `mu`. The ratio of magnitude of maximum velocity of particle and the magnitude of maximum acceleration is
Four simple harmonic vibrations.
`y_1=8cos omegat , y_2=4cos(omegat+pi/2), y_3=2 cos(omegat+pi), y_4=cos(omegat+(3pi)/2)` are superimposed on one another. The resulting amplitude and phase respectively
Two identical strings are stretched at tensions `T_A` and `T_B`. A tuning fork is used to set them in vibration. A vibrates in its fundamental mode and B in its first overtone mode, then
A string of mass m and length l is hanging from ceiling as shown in the figure. Wave in string move upward. `v_A`, and `v_B`, are the speed of wave at A and B respectively. Then `v_B` is
A pressure of 100 kPa causes a decrease in volume of water by `5 xx 10^(-3)` percent. The speed of sound in water is
A mirror of diatomic gases is obtained by mixining `m_1` and `m_2` mass of two gases, with velocities of sound in them `c_1` and `c_2` respectively. Determine the velocity of sound in the mixture of gases.
Two sound waves are represented by `y_1=1/2sin omegat+sqrt3/2 cos omegat` and `y_2=sqrt3/2 sin omegat+1/2cos omegat.` The initial phase difference between the two waves is
A uniform rope of mass 0.1 kg and length 2.45 m hangs from a ceiling
(i) the speed of transverse wave in the rope at a point 0.05 m distant from the lower end
(ii)The time taken by a transverse wave to travel the full length of the rope are (g = 9.8 m/`s^2`)
A travelling wave pulse is given by `y = 10/(5+(x+2t)^2)` . The amplitude and velocity of the pulse propagating are
A sound wave of wavelength 32cm enters the tube as shown in the figure. Then the smallest radius 'r' so that a maximum of sound is heard at detector is
A pressure of P causes a decrease in volume of water by a fraction 'Q'. The speed of sound in water is (in CGS)
