A steel wire of diameter and Young's modulus carries a load of mass . The length of the wire with the load is . A vernier scale with 10 divisions is attached to the end of this wire. Next to the steel wire is a reference wire to which a main scale, of least count , is attached. The 10 divisions of the vernier scale correspond to 9 divisions of the main scale. Initially, the zero of vernier scale coincides with the zero of main scale. If the load on the steel wire is increased by , the vernier scale division which coincides with a main scale division is ____. Take and .
Answer: 3
Solution
The extension is mm. The least count of the vernier is mm. The vernier division that coincides is .
JEE Advanced · 2018 · 20 May 2018 · Paper 2 · Numerical answer