1.

Two blocks of masses `1 kg` and `2 kg` are connected by a metal wire goijng over a smooth pulley as shown in figure. The breaking stress of the metal is `(40//3pi)xx10^(6)N//m^(2)`. If `g=10ms^(-12)`, then what should be the minimum radlus of the wire used if it is not to break? A. `0.5mm`B. `1mm`C. `1.5mm`D. `2mm`

Answer» Correct Answer - B
`T=(2m_(1)m_(2))/(m_(1)+m_(2))g=(2xx1xx2)/(1+2)xx10N=40/3N`
If `r` is the minimum radius, then
Breaking stress `=(40/3)/(pir^(2))` or `40/(3pi)xx10^(6)=40/(3pir^(2))`
or `r^(2)=1/(10^(6))` or `r=1/(10^(3))m`
or `r=1/(10^(3))xx10^(3)m=1mm`


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