In which of the following case court can order dissolution of a partnership firm.

Under the Indian Partnership Act, 1932, a court can order dissolution of a partnership firm under specific circumstances outlined in Section 44 - Dissolution by Court.

Analyzing each case:

Case 1 - Death of a partner: This causes dissolution by operation of law (automatically). The court's order is not required. The firm dissolves automatically upon death unless the partnership deed provides otherwise.

Case 2 - Expiry of term: When the partnership was formed for a fixed term and that term expires, dissolution occurs automatically. No court intervention is needed.

Case 3 - Business cannot be carried on except at a loss: This is a valid ground for court to order dissolution. When the business becomes such that it is not possible to carry it on except at a loss, any partner can file a suit seeking dissolution, and the court has the power to dissolve the firm.

Case 4 - Partner becomes insolvent: When a partner is adjudged insolvent by a court, the firm is dissolved automatically by operation of law. Court order for dissolution is not required as insolvency itself triggers automatic dissolution.

The key distinction is between automatic dissolution (cases 1, 2, and 4) where the law itself dissolves the firm upon occurrence of the event, and dissolution by court order (case 3) where a partner must approach the court and the court exercises its discretion to order dissolution based on the ground that continuing business would only result in losses.