A steel wire of diameter 0.5 m m and Young's modulus 2 × 10 11   N m - 2 carries a load of mass M. The length of the wire with the load is 1.0 m. 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,…

Question

A steel wire of diameter 0.5 m m and Young's modulus 2 &#215; 10 11 &#160; N m - 2 carries a load of mass M. The length of the wire with the load is 1.0 m. 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 1.0 mm, 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 1.2 &#160; k g , the vernier scale division which coincides with a main scale division is __________. Take g = 10 &#160; m s - 1 &#160; a n d &#160; &#960; = &#160; 3.2 &#160; .

Aicharya · Accepted Answer

d = 0.5 &#160; m m Y = 2 &#215; 10 11 l = 1 m &#8710; l = F l A y = m g l &#960; d 2 4 y = 1.2 &#215; 10 &#215; 1 &#960; 4 &#215; 5 &#215; 10 - 4 2 &#215; 2 &#215; 10 11 &#8710; l = 1.2 &#215; 10 3.2 4 &#215; 25 &#215; 10 - 8 &#215; 2 &#215; 10 11 = &#160; 12 1.6 &#215; 25 &#215; 10 3 = 12 40 &#215; 10 3 = 0.03 m m So 3 rd division of vernier scale will coincicle with main scale .

A steel wire of diameter 0.5 m m and Young's modulus 2 × 10 11   N m - 2 carries a load of…

Solution

A steel wire of diameter 0.5 m m and Young&#39;s modulus 2 &#215; 10 11 &#160; N m - 2 carries a load of…

Solution

A steel wire of diameter 0.5 m m and Young's modulus 2 × 10 11 N m - 2 carries a load of…