$(a)\;1450\;J\;and\;1410\;J\qquad(b)\;1550\;J\;and\;1590\;J\qquad(c)\;1450\;J\;and\;1490\;J\qquad(d)\;1550\;J\;and\;1510\;J$

Answer : $\;1450\;J\;and\;1490\;J$

Explanation :

$A \to B \;$ is an isochoric process

$\bigtriangleup W=0\;, \bigtriangleup u = \bigtriangleup Q \;, \bigtriangleup u = -50\;J$

$V_{A} - V_{B} =50$

$1500 - V_{B} = 50$

$V_{B} = 1450 \;J$

along BC , $\;\bigtriangleup Q =0$

$\bigtriangleup W = - \bigtriangleup u$

$\bigtriangleup u= + 40\; J$

in $\;V_{C} -V_{B} = 40 \;J$

$V_{C} = V_{B} +70$

$V_{C} = 1450 + 40 =1490\;J$

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