JEE Main20248 Apr 2024Evening ShiftPhysicsExperimental PhysicsActual
Least count of a vernier caliper is 1 20 ~N ~cm . The value of one division on the main scale is 1 ~mm . Then the number of divisions of main scale that coincide with N divisions of vernier scale is :
Options
- A(2 ~N -1)
- B( 2 ~N -1 2 ~N )
- C( 2 ~N -1 2 )
- D( 2 ~N -1 20 ~N )
Correct answer
C. ( 2 ~N -1 2 )
Step-by-step solution
Least count of vernier calipers = 1 20 ~N ~cm Least count =1 MSD -1 VSD let x no. of divisions of main scale coincides with N division of vernier scale, then aligned & 1 VSD = x 1 ~mm ~N & 1 20 ~N ~cm =1 ~mm - x 1 ~mm ~N & 1 2 ~N ~mm =1 ~mm - x N mm & x = (1- 1 2 ~N ) N & x = 2 ~N -1 2 aligned