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.

In longitudinal mode:n2=p2ℓTm or n2=42ℓ8m ….(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=q2ℓTm  or  n=82ℓTm . . . . (2)dividing (1) by (2) we have 12=128TT = 8 gm