Consider the following statements : If the net external torque acting on an object is switched off, then 1. linear momentum will remain unchanged. 2. angular momentum wall remain unchanged. Which of the statements given above is/are correct?

According to the law of conservation of angular momentum, the angular momentum of a system remains constant if the net external torque acting on it is zero [t1][t3][t8]. This is mathematically expressed as dL/dt = τ, where τ is the net external torque; if τ = 0, then dL/dt = 0, meaning angular momentum (L) is conserved [t4][t10]. However, the conservation of linear momentum depends on the net external force being zero, not the torque [t1][t5]. While a net torque is related to force (τ = r × F), a zero net torque does not necessarily imply that the net external force is zero. For example, a single force acting through the center of mass produces zero torque but changes linear momentum. Therefore, only statement 2 is correct, as the absence of net external torque specifically guarantees the conservation of angular momentum [t7][t9].