JEE Main20244 Apr 2024Morning ShiftPhysicsMathematics in PhysicsActual
In an experiment to measure focal length (f) of convex lens, the least counts of the measuring scales for the position of object ( u ) and for the position of image ( v ) are u and v , respectively. The error in the measurement of the focal length of the convex lens will be:
Options
- A2 f [ u u + v v ]
- Bu u + v v
- Cf^2 [ u u ^2 + v v ^2 ]
- Df [ u u + v v ]
Correct answer
C. f^2 [ u u ^2 + v v ^2 ]
Step-by-step solution
aligned & f ⁻¹= v ⁻¹- u ⁻¹ & - f ⁻² df =- v ⁻² dv - u ⁻² du & df f ^2 = dv v ^2 + du u ^2 & df = f ^2 [ dv v ^2 + du u ^2 ] aligned