To find the spring constant ( k ) of a spring experimentally, a student commits 2% positive error in the measurement of time and 1% negative error in measurement of mass. The percentage error in deter

Question

To find the spring constant ( k ) of a spring experimentally, a student commits 2% positive error in the measurement of time and 1% negative error in measurement of mass. The percentage error in determining value of k is :

TestHub · Accepted Answer

​ T = 2 π k m ​ ​ T 2 ∝ k m ​ T 2Δ T ​ % = m Δ m ​ % − k Δ k ​ % k Δ k ​ % = m Δ m ​ % − T 2Δ T ​ % k Δ k ​ % = ( − 1 ) % − 2 ( 2 ) % = ∣ − 5%∣ = 5% ​

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