A block of mass 50 kgk is suspended by two strings 1 and 2 as shown in figure. The strings are of same length. Cross sectional area and young's modulus of the string 1 are A and Y and those of string 2 are 2A and 2Y respectively. If the block always remains horizontal, tension induced in string 1 is
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a
100 N
b
250 N
c
200 N
d
300 N
answer is A.
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Detailed Solution
Elongation produced in 1 = Elongation produced in 2⇒T1.lA1.Y1=T2.lA2l2⇒T1T2=A1A2.Y1Y2=12.12⇒T1T2=14........1Also, T1+T2=500 N.........2Solving, T1=100 N