Two wires are fixed on a sonometer. Their tensions are in the ratio 8 :1, their lengths are in the ratio 36:35, the diameters are in the ratio 4:1 and densities are in the ratio 1:2. If the value of higher frequency is 36Hz, then lower frequency is p×qHz, here both p and q are integers. The value of p-q is
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
answer is 2.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Given, T1T2=81,L1L2=3635D1D2=41,ρ1ρ2=12Let μ1 and μ2 be the linear mass densities, then∴ μ1=π×D124×ρ1 and μ2=π×D224×ρ2 (μ=ρS)∴ μ1μ2=D1D22×ρ1ρ2=412×12=81∴ f1f2=L2L1×T1T2×μ2μ1=353681×18=3536 f=12LTμWe have f2>f1f2=36∴f1=35=7×5p=7 ; q=5 ⇒p-q=2