At 40 ° C , a brass wire of 1   m m radius is hung from the ceiling. A small mass, M is hung from the free end of the wire. When the wire is cooled down from 40 ° C   to 20 ° C it regains its original length of 0.2   m . The value of M is close to: (Coefficient of…

Question

At 40 &#176; C , a brass wire of 1 &#160; m m radius is hung from the ceiling. A small mass, M is hung from the free end of the wire. When the wire is cooled down from 40 &#176; C &#160; to 20 &#176; C it regains its original length of 0.2 &#160; m . The value of M is close to: (Coefficient of linear expansion and Young&rsquo;s modulus of brass are 10 - 5 / &#176; C and 10 11 &#160; N / m 2 , respectively; g = 10 &#160; m &#160; s - 2 )

Aicharya · Accepted Answer

M g = A Y l Δ l Δ l l = α Δ T M g = A Y α Δ T M = A Y α Δ T g = π × 0.001 2 × 10 11 × 10 - 5 × 20 10 = 2 π Closest value of M is 9 kg.

At 40 ° C , a brass wire of 1   m m radius is hung from the ceiling. A small mass, M is hung from…

Solution

At 40 &#176; C , a brass wire of 1 &#160; m m radius is hung from the ceiling. A small mass, M is hung from…

Solution

At 40 ° C , a brass wire of 1 m m radius is hung from the ceiling. A small mass, M is hung from…