JEE MAIN - Physics (2019 - 11th January Morning Slot - No. 2)

Equation of travelling wave on a stretched string of linear density 5 g/m is y = 0.03 sin(450 t – 9x) where distance and time are measured in SI units. The tension in the string is :
10 N
7.5 N
5 N
12.5 N

Explanation

y = 0.03 sin(450 t $$-$$ 9x)

v = $${\omega \over k} = {{450} \over 9}$$ = 50m/s

v = $$\sqrt {{T \over \mu }} \Rightarrow {T \over \mu }$$ = 2500

$$ \Rightarrow $$  T = 2500 $$ \times $$ 5 $$ \times $$ 10$$-$$3

= 12.5 N

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