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JEE Main 2021 (Online) 20th July Morning Shift
Numerical  +4  -1
The amplitude of wave disturbance propagating in the positive x-direction is given by $$y = {1 \over {{{(1 + x)}^2}}}$$ at time t = 0 and $$y = {1 \over {1 + {{(x - 2)}^2}}}$$ at t = 1 s, where x and y are in metres. The shape of wave does not change during the propagation. The velocity of the wave will be ___________ m/s.
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JEE Main 2021 (Online) 16th March Evening Shift
Numerical  +4  -1
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 pipe is $${x \over 3}L\sqrt {{{{\rho _1}} \over {{\rho _2}}}}$$ where x is ___________. (Round off to the Nearest Integer)
3
JEE Main 2021 (Online) 26th February Morning Shift
Numerical  +4  -1
The mass per unit length of a uniform wire is 0.135 g/cm. A transverse wave of the form y = $$-$$ 0.21 sin (x + 30t) is produced in it, where x is in meter and t is in second. Then, the expected value of tension in the wire is x $$\times$$ 10$$-$$2 N. Value of x is _________. (Round off to the nearest integer)