One main scale division of a vernier caliper is equal to $m$ units. If $n^{\text {th }}$ division of main scale coincides with $(n+1)^{\mathrm{ht}}$ division of vernier scale, the least count of the vernier caliper is:
  • A$\frac{\mathrm{n}}{(\mathrm{n}+1)}$
  • B$\frac{\mathrm{m}}{(\mathrm{n}+1)}$
  • C$\frac{1}{(n+1)}$
  • D$\frac{\mathrm{m}}{\mathrm{n}(\mathrm{n}+1)}$
JEE MAIN 2024, Diffcult
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