Verified Solution • 2025–26 Session moderate

QJEEAdv09Pha50d: JEE Advanced 2009 Physics - Class 11 JEEAdv09Pha50d Solution: A 20 cm long string, having a mass of 1.0 g, is fixed at both…

A 20 cm long string, having a mass of 1.0 g, is fixed at both the ends. The tension in the string is 0.5 N. The string is set into vibrations using an external vibrator of frequency 100 Hz. find the separation (in cm) between the successive nodes on the string.

Step-by-Step Verified Solution

The distance between the successive nodes is λ/2\lambda/2 . Therefore,

λ2=V2v=12×100Tlm=12000.5×0.210−3=120{\lambda \over 2} = {V \over {2v}} = {1 \over {2 \times 100}}\sqrt {{{Tl} \over m}} = {1 \over {200}}\sqrt {{{0.5 \times 0.2} \over {{{10}^{ - 3}}}}} = {1 \over {20}} m = 5 cm

IIT-JEE 2009 Paper 2 Offline Physics - Waves Question 13 English Explanation

Related Learning Resources & Exam Preparation