Correct option is (b) -2V
The best I can explain: In ideal diode model the diode is considered as a perfect conductor in forward bias and perfect insulator in reverse bias. That is voltage drop at forward bias is zero and current through the diode at reverse bias is zero.
Assuming diode to be forward biased, KCL can’t be applied correctly at the node. Hence diode is reverse biased. The diode can be considered as an open circuit and the current flows through resistor R only. Hence voltage V = -2V.