JEE MAIN - Physics (2020 - 2nd September Morning Slot - No. 14)
Two identical strings X and Z made of same
material have tension TX and TZ in them. If their
fundamental frequencies are 450 Hz and
300 Hz, respectively, then the ratio TX/TZ is
2.25
0.44
1.25
1.5
توضیح
f = $${1 \over {2l}}\sqrt {{T \over \mu }} $$
For identical string $$l$$ and $$\mu $$ will be same
f $$ \propto $$ $$\sqrt T $$
$$ \therefore $$ $${{450} \over {300}} = \sqrt {{{{T_x}} \over {{T_y}}}} $$
$$ \Rightarrow $$ $${{{{T_x}} \over {{T_y}}} = {9 \over 4}}$$ = 2.25
For identical string $$l$$ and $$\mu $$ will be same
f $$ \propto $$ $$\sqrt T $$
$$ \therefore $$ $${{450} \over {300}} = \sqrt {{{{T_x}} \over {{T_y}}}} $$
$$ \Rightarrow $$ $${{{{T_x}} \over {{T_y}}} = {9 \over 4}}$$ = 2.25