Which building in London is designed by the architect Charles Barry?

The Palace of Westminster, often referred to as the Houses of Parliament, is the building designed by the architect Charles Barry. He was appointed to lead the project after a fire in 1834 destroyed much of the original structure. Barry's design is characterized by its striking Gothic Revival style, which was intended to evoke the historic traditions of English architecture while also accommodating the requirements of a modern parliamentary building.

The Palace of Westminster features iconic elements such as the grand clock tower, known as Big Ben, and a series of intricately detailed facades and interiors that reflect Barry's vision and attention to detail. The building not only symbolizes the UK Parliament but also stands as a UNESCO World Heritage Site, highlighting its significance in both architectural history and British political life.

Other buildings listed in the choices were designed by different architects. St. Paul's Cathedral, for instance, was designed by Sir Christopher Wren, while the British Museum's design is attributed to Sir Robert Smirke, and the Tower of London has evolved over centuries with contributions from various designers and architects.