Question 127: Waves

Question

Two identical strings X and Z made of same
material have tension T
X
and T
Z
in them. If their
fundamental frequencies are 450 Hz and
300 Hz, respectively, then the ratio T
X
/T
Z
is

Accepted Answer

f = $${1 \over {2l}}\sqrt {{T \over \mu }} $$
For identical string $$l$$ and $$\mu $$ will be same
f $$ \propto $$ $$\sqrt T $$
$$ 	herefore $$ $${{450} \over {300}} = \sqrt {{{{T_x}} \over {{T_y}}}} $$
$$ \Rightarrow $$ $${{{{T_x}} \over {{T_y}}} = {9 \over 4}}$$ = 2.25

Answer

2.25

Answer

0.44

Answer

1.25

Answer

1.5

Waves

Two identical strings X and Z made of same material have tension T X and T Z in them. If their fundamental frequencies are 450 Hz and 300 Hz, respectively, then the ratio T X /T Z is

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