Two bodies A and B of masses 10kg and 15kg respectively kept on a smooth, horizontal surface are tied to the ends of a light string. If T represents the tension in the string when a horizontal force F=500N is applied to A (as shown in figure 1) and T' be the tension when it is applied to B (figure2), then which of the following is true?

Options

A. T = T' = 500 N
B. T = T' = 250 N
C. T = 200 N,T' = 300 N
D. T = 300 N,T' = 200 N

Answer

C

Explanation

` T = m_(A) a = 10 xx (500)/(10+15) = 200 N`
`T = m_(B) a= 15 xx (500)/(10+15) = 300 N`