0

Guest

Courses New

Two wires are kept tight between the same pair of supports. The tensions in the wires are in the ratio 2 : 1, the radii are in the ratio 3 : 1 and the densities are in the ratio 1 : 2. Find the ratio of their fundamental frequencies.

Two wires are kept tight between the same pair of supports. The tensions in the wires are in the ratio 2 : 1, the radii are in the ratio 3 : 1 and the densities are in the ratio 1 : 2. Find the ratio of their fundamental frequencies.

Grade:upto college level

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
9 years ago
Sol. Frequency f = 1/ID √T/πp ⇒ f base 1 = 1/l base 1 D base 1√T base 1 πp base 1 ⇒ f base 2 1/ l base 2 n base 2√T base 2 πp base 2 Give that, T base 1/ T base 2 = 2, r base 1/ r bas 2 = 3 = D base 1/ D base 2 p bas 1/ r base 2 ½ so, f base 1/ f base 2 = l base 2 D base 2/ l base 1 D base 1 √T base 1/√T base 2√ πp base 2/ πp base1 (l base 1 = l base 2 = length of string) ⇒ f base 1 : f base 2 = 2 : 3

Think You Can Provide A Better Answer ?

Other Related Questions on Wave Motion

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More