A spotlight is fixed 4 m from the vertical wall and is rotating at a rate 1 rads -1 . The spot moves horizontally on the wall. Find the speed of the spot on the wall when the spotlight makes an angle of 45 o with the wall.
Text Solution
Verified by ExpertsThe correct answer is:
C
s is the spot light shown in fig. and x is the distance moved by spot in time t
From Fig. x/y = tan φ φ
x = y tan Δ Δ
v = 
v = 4(2) 1(when θ θ = 45 o , φ φ = 45 0 ) = 8 ms -1
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