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A string SQ is connected to a long heavi...

A string `SQ` is connected to a long heavier string at `Q`. Linear mass density of the heavier string is `4` times that of the string `SQ`. Length of `SQ` is `9.5 cm`. Both the strings are subjected to same tension. A `50 Hz` source connected at `S` produces transverse disturbance in the string. Wavelength of the wave in string `SQ` is observed to be `1 cm`. If the source is put on at time `t = 0`, calculate the smallest time `(t)` at which we can find a particle in the heavier string that oscillates in phase with the source at `S`.

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