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Two containers of sand are arranged like...

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 the curves in graph correctly gives acceleration magnitude as a function of the ratio `m//M_("tot")` (vertical axis is for acceleration)?

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C

`mg-T=ma` …(i)
`T-m'g=m'a` ….(ii)
Adding (i) and (ii)
`g(m-m')=a(m+m')`
`g(m-m')=M_("total")+a`
As `m+m' =M_("total")`
So, `m'=(M_("total")-m)`
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