Two containers of sand are arranged like the block as shown in fig. the containers alone have negligible mass, the sand in them has a total mass `M_("tot")` , the sand in the hanging container H hs mass m.

To measure the magnitude a of the acceleration of the system, a large number of experiments carried out where m varies from experiment to experiment but `M_("tot")` does not, that is, sand in shifted between the containers before each trial .

Which of them gives the tension in the connecting cord (vertical axis is for tension) ?

Options

A. 1
B. 2
C. 3
D. 4

Answer

D

Explanation

`T=(M_(1)M_(2)g)/(M_(1)+M_(2)) = (m(M_(t o t)-m))/(M_(t o t))g`
`=((mM_(t o t) - m^(2))/(M_(t o t)))g`.