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The resistance of pure metals...

The resistance of pure metals ___________

A

Increases with an increase in temperature

B

Decreases with an increase in temperature

C

Remains the same with an increase in temperature

D

Becomes zero with an increase in temperature

Text Solution

Verified by Experts

Here given rope has its own mass. Hence, when it is loaded, the tension produced at lower and upper end would be different, say respectively `T_(1) and T_(2).`
Here `T_(1) = m _(1) g `
`T_(2) = m _(1) g + m_(2) g = (m_(1) + m _(2)) g`
Now, wave speed in the given rope is `v = sqrt ((T)/(mu))`
`therefore f lamda = sqrt ((T)/(mu))`
Here f and m remain constant for a given rope, and so,
`lamda prop sqrtT`
`therefore (lamda _(1))/( lamda _(2))= sqrt (( T _(1))/( T _(2)))`
`therefore ( lamda _(1))/( lamda _(2)) = sqrt (( m_(1) g )/( (m _(1) + m _(2) ) g ))`
`therefore ( 0.06)/(lamda_(2))= sqrt ((2)/( 2 + 6 ))`
`therefore lamda _(2) = 0.12 m`
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