Question 443: Waves

Question

Two wires of same material of radius 'r' and '2r' respectively are welded together end to end. The combination is then used as a sonometer wire under tension 'T'. The joint is kept midway between the two bridges. The ratio of the number of loops formed in the wires such that the joint is a node is

Accepted Answer

Frequency of vibration n will be same for both the segments. If p$$_1$$ and p$$_2$$ are the number of loops for the wires of radius r and 2r then we have
$$n = {{{p_1}} \over {2lr}}\sqrt {{T \over {\pi p}}}  = {{{p_2}} \over {4lr}}\sqrt {{T \over {\pi p}}} $$
$$	herefore$$ $${{{p_1}} \over {{p_2}}} = {1 \over 2}$$

Answer

1 : 5

Answer

1 : 2

Answer

1 : 4

Answer

1 : 3

Waves

Two wires of same material of radius 'r' and '2r' respectively are welded together end to end. The combination is then used as a sonometer wire under tension 'T'. The joint is kept midway between the two bridges. The ratio of the number of loops formed in the wires such that the joint is a node is

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