Two springs A and B fixed at the top and are stretched by 8 ~cm and 16 ~cm respectively, when loads of 20 ~N and 10 ~N are suspended at the lower ends. The ratio of the spring constants of the springs A and B is

Step-by-step solution

Spring constant, K= F x Given, F _ A =20 ~N , ~F _ B =10 ~N , x _ A =8 ~cm and x _ B =16 ~cm aligned & K _ A K _ B = F _ A x _ A F _ B x _ B = F _ A x _ A x _ B F _ B = 20 8 16 10 =4 & K _ A : K _ B =4: 1 aligned