In Melde’s experiments in the longitudinal mode of vibration a string vibrates in $$4$$ loops with a load of $$8$$ gm. How much load would be required in order that the string many vibrate in $$8$$ loops in transverse mode.

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Infinity Learn · Accepted Answer

In longitudinal mode:$$n2=p2$$ℓTm or $$n2=42$$ℓ$$8m$$ ….(1)Note$$: Transverse position in Melde's experiment is changed to parallel position. If length of the string remains the same and tension is made half and if in perpendicular position $$4$$ loops are formed then the number of logps formed in parallel position will be $$2{$$ no of $$loops}$$.In transrverse mode :$$n=q2$$ℓTm  or  $$n=82$$ℓTm . . . . $$(2)dividing$$ $$(1) by (2) we have $$12=128TT$$ $$=$$ $$8$$ gm

In Melde’s experiments in the longitudinal mode of vibration a string vibrates in 4 loops with a load of 8 gm. How much load would be required in order that the string many vibrate in 8 loops in transverse mode.

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