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The ratio of the range of the particle a...

The ratio of the range of the particle and its maximum range in the inclined plane is:

A

`1:2`

B

`1:sqrt(2)`

C

`1:sqrt(3)`

D

`1:1`

Text Solution

Verified by Experts

The correct Answer is:
d
`R=v_(0)cos 30^(@) T-1/2g sin 30^(@) T^(2)`
`=10 (sqrt(3))/2-2/(sqrt(3))-1/2xx10xx1/2(2/(sqrt(3)))^(2)=20/3`
`R_(max)=(v_(0)^(2))/(g(1+sin theta_(0)))`
`=(10^(2))/(10(1+sin theta_(0)))`
`=(10^(2))/(10(1+sin 30^(@)))=20/3`
So, `R/(R_(max))=1`
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Knowledge Check

  • A projectile is fired with a velocity v at right angle to the slope inclined at an angle theta with the horizontal. The range of the projectile along the inclined plane is

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