A sonometer wire is in unison with a tuning fork of frequency ' n ' when it is stretched by a weight of specific gravity ' d '. When the weight is completely immersed in water, ' x ' beats are produced per second, then

Step-by-step solution

For Sonometer, We know, relative density = _ load _ water Also, n T Tension in air T _ air = _ load V g Tension in water T _ water = ( _ load - _ water ) V g = _ water ( -1) V ~g n _ load in air n _ load inmersed in water = T _ air T_ water On substituting the respective values, n _ load in air n _ load immersed in water = _ load V g _ water ( -1) V g = _ load _ load -1 ...(i) where, = relative density or specific gravity of load Given, n _ load = frequency ' x ' beats are produced when weight is completely immerse