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Practice Online Test Series for JEE Main 2018 & NEET 2018
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A simple harmonic progressive wave is represented by the equation:
`y=8 sin 2 pi (0.1x-2t)`
Where x and y are in cm and t is in seconds. At any instant the phase difference between two particles separated by 2.0 cm in the x-direction is:
The kinetic energy in eight gram of diatomic `O_2` gas will be:
Two waves are represented by the following equation:
`y_1=5sin 2pi (10t – 0.1x)`
`y_2=10 sin 2pi (20t-0.2x)`
Ratio of intensitites `I_2/I_1` will be
The average momentum of molecule of a gas at TK is: (m=Mass of molecule)
Two tuning forks have frequencies 450 Hz and 454 Hz respectively. On sounding these forks together, the time interval between successive maximum intensities will be:
The number of molecules of gas `O_2, H_2. He` and `CO_2` in a vessel are same. If a fine hole is made in the vessel then which gas escapes out more rapidly
When a tuning fork of frequency 341Hz is sounded with another tuning fork, six beats per second are heard. When the second tuning fork is loaded with wax and sounded with the first tuning fork, the number of beats is two per second. The natural frequency of the second tuning fork is:
A cubical container of side 5 cm contains a gas whose molecular velocity is 200 cm/s. If a molecular repeatedly strikes a wall of the container then the frequency of collision will be per second:
A tuning fork and a sonometer wire were sounded together and produce 4 beats per second, when the length of sonometer wire is 95 cm or 100 cm. The frequency of the tuning fork is:
The rate of flow of liquid in a tube of radius r, length `l`, whose ends are maintaned at a pressure different P is `V=(pi Q Pr^4)/(etal)` where `eta` is coefficient of the viscosity and Q is:
In a stationary wave, all particle are:
Gulab jamun’s (assumed to be spherical) are to be heated in an oven. They are available in two sizes, one twice bigger (in radius) than the other. Pizzas (assumed to be discs) are also to be heated in oven. They are also in two sizes, one twice big (in radius) then the other. All four are put together to be heated to even temperature. Choose the correct option from the following:
A point mass is subjected to two simultaneous sinusoidal displacements in x- direction, `x_1(t)=A sinomegat and x_2(t)= A sin(omegat+(2pi)/3)`adding a third sinusoidal displacement `x_3(g)=Bsin(omegat+phi)` brings the mass to a complete rest. The value of B and `phi` are:
Sun and moon emit maximum radiations at wavelength the `0.5xx10^(-4)` cm and `100xx10^(-4)` cm respectively. The ratio of their temperature is:
Two sinusoidal waves with wavelengths and amplitudes travel in opposite directions along a string with a speed 10m/s. if the minimum time interval between two instants when the string is flat is 0.5s, the wavelength of the waves is:
Water is flowing through a tube of non-uniform cross-section ratio of the radius at entry and exit end of the pipe is 3:2. Then the ratio of velocities at entry and exit of liquid is:
A string in musical instrument is 50 cm long and its fundamental frequency is 800 Hz. If a frequency of 100 Hz is to be produced, then required length of string is:
A small sphere of mass m is dropped from a great height. After it has fallen 100m, it has attained its terminal velocity and continues to fall at that speed. The work done by air friction against the sphere during the first 100m of fall is:
Two wires are in unison. If the tension in one of the wires is increased by 2%, 5 beats are produced per second. The initial frequency of each wire is: