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Choose the correct option: A particle i...

Choose the correct option:
A particle is projected at an angle `60^@` with speed `10(sqrt3)m//s`, from the point A, as shown in the figure. At the same time the wedge is made to move with speed `10 (sqrt3) m//s` towards right as shown in the figure. Then the time after which particle will strike with wedge is

A

(a) 2s

B

(b) `2(sqrt3) s`

C

(c) `4/(sqrt3) s `

D

(d) None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`*rarr_(10sqrt(3) m//s)`
Wedge
`10sqrt(3) sin 60^@ = 15 m//s`

Particle with respect to wedge
`T = (2usin(alpha-beta))/(gcosbeta)`
` =(2(10sqrt(3))*sin(60^@-30^@))/(10cos30^@) = 2s`
.
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