Please answer this question with explanation of pqoqpqiqpqiqpaiapqoqqq - Physics - Physical World

Question

Please answer this question with explanation of
pqoqpqiqpqiqpaiapqoqqq

Siddharth Shankar Singh · Accepted Answer

Solution:
y=Asinωt-kx⇒∂y∂x=∂∂xAsinωt-kx           =∂∂ωt-kxAsinωt-kx×∂ωt-kx∂x           =Acosωt-kx×-k                            In this partial differentiation, t is assumed constant           =-Akcosωt-kxNow,∂y∂t=∂∂tAsinωt-kx           =∂∂ωt-kxAsinωt-kx×∂ωt-kx∂t           =Acosωt-kx×ω                            In this partial differentiation, x is assumed constant           =Aωcosωt-kx
Hence, the correct answer is option (b)