Revision Test -Oscillations and waves

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A spring having with a spring constant 100 N m–1 is mounted on a horizontal table as shown in Fig. A mass of 2 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 1.0 cm and released the frequency of oscillations , acceleration of the mass, and the maximum speed of the mass are respectively:

• 1.1, 0.5, 0.07

• 5.1, 0.7, 0.02

• 8.1, 0.9, 0.03

• 7.1, 0.8, 0.01

The periodic time of a body executing SHM is 4 sec. After how much interval from time t= 0 its displacement will be half of its amplitude ?

• 1/4 sec

• 1/2 secc

• 1/6 sec

• 1/3 sec

A particle executes SHM with amplitude of 20 cm and time period of 12 s. What is the minimum time required for it to move between two points 10 cm on either side of the mean position?

• 4 s

• 2 s

• 1 s

• 3 s

A wave travelling along a string is described by, y(x, t) = 0.002 sin (40.0 x – 2.0 t), in which the numerical constants are in SI units .The amplitude, (b) the wavelength, and (c) the period and frequency of the wave are respectively:

• 0.007, 0.957, 8.14, 9.318

• 0.004, 0.657, 5.14, 0.518

• 0.002, 0.157, 3.14, 0.318

• 0.009, 0.557, 9.14, 0.818

Calculate the fundamental frequency of an open organ pipe of length 0.7 m. What will be the fundamental frequency if one end of the pipe is closed. The velocity of sound in air = 340 m/s.

• 521.4

• 121.4

• 321.4

• 721.4