Question 1134557
Let {{{ k }}} = constant of proportionality
{{{ R = k*L*(1/d^2 ) }}}
{{{ R = 27 }}}
{{{ L = 3 }}}
{{{ d = 2 }}}
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{{{ R*d^2 = k*L }}}
{{{ k = ( R*d^2 )/L }}}
{{{ k = ( 27*2^2 )/3 }}}
{{{ k = 108/3 }}}
{{{ k = 36 }}}
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(a)
{{{ R = 36*8*( 1/3^2 ) }}}
{{{ R = 36*8*( 1/9 ) }}}
{{{ R = 32 }}}
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(b)
{{{ 16 = 36*18*( 1/d^2 ) }}}
{{{ d^2 = ( 36*18 )/16 }}}
{{{ d^2 = ( 9*18 )/4 }}}
{{{ d^2 = ( 9*9 )/2 }}}
{{{ d^2 = 81/2 }}}
{{{ d = 9/sqrt(2) }}}