A mass ' m ' attached to a spring oscillates with a period of 3 second. If the mass is increased by 0.6 kg , the period increases by 3 second. The initial mass ' m ' is equal to

Step-by-step solution

Time period, array rlrl & & T & =2 ~m k & ~T ₁ & =2 ~m k & 3 & =2 ~m k & 9 4 ^2 & = m k & k & = 4 ^2 ~m 9 array ...(given, T ₁=3 ~s ) When mass is increased by 0.6 kg , T ₂=2 ~m +0.6 k ...[From(i)] 6= m+0.6 k . ... (given T ₂=3+3=6 ~s ) 36 4 ^2 = m+0.6 k aligned & 36 4 ^2 =( m +0.6) 9 4 ^2 ~m & 4 ~m = m +0.6 & ~m =0.2 ~kg aligned