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A van accelerates uniformly down an incl...

A van accelerates uniformly down an inclined hill going from reast to `30m//s` in `6s`. During the acceleration , a toy of mass `m=0.1kg` hangs by a light string from the van's ceiling . The acceleration is such that string remains perpendicular to the ceiling. `(` Take `g=10m//s^(2))`

The tension n the string is

A

`1.0N`

B

`0.5N`

C

`(sqrt(3))/(2)N`

D

`sqrt(3)N`

Text Solution

Verified by Experts

The correct Answer is:
C
Acceleration of the van `=(30)/(6)=5 m//s^(2)`
`g sin theta =a`
`rArr sin theta =(1)/(2)`
`rArr theta=30^(@)`
Tension
`T=mg cos theta =(sqrt(3))/(2)N`
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