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JEE Main20246 Apr 2024Morning ShiftPhysicsMathematics in PhysicsActual

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 :

Options

  1. A5 %
  2. B1 %
  3. C3 %
  4. D4 %

Correct answer

A. 5 %

Step-by-step solution

aligned & T =2 m k & T ^2 m k & 2 T T %= m m %- k k % & k k %= m m %- 2 T T % & k k %=(-1) %-2(2) %=|-5 %|=5 % aligned

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