A ball of mass 1 kg hangs in equilibrium from two strings OA and OB as shown in figure. The ratio of tensions in strings OA and OB is : (Take g=10ms−2 )
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a
3
b
32
c
13
d
123
answer is C.
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Detailed Solution
Forces acting on the ball are as shown in figure.The three concurrent forces are in equilibriumUsing Lami's theorem.T1sin150∘=T2sin120∘=10sin90∘⇒T1sin30∘=T2sin60∘=101⇒T1T2∴T1=10sin30∘=10×0.5=5N and T2 = 10sin60∘=10×32=53N