A vernier callipers having 1 main scale division \( =0.1 \mathrm{~cm} \) is designed to have a l...

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A vernier callipers having 1 main scale division \( =0.1 \mathrm{~cm} \) is designed to have a least count of \( 0.02 \mathrm{~cm} \). If \( \mathrm{n} \) be the number of divisions on vernier scale and \( m \) be the length of vernier scale, then
(1) \( \mathrm{n}=10, \mathrm{~m}=0.5 \mathrm{~cm} \)
(2) \( \mathrm{n}=9, \mathrm{~m}=0.4 \mathrm{~cm} \)
(3) \( \mathrm{n}=10, \mathrm{~m}=0.8 \mathrm{~cm} \)
(4) \( \mathrm{n}=10, \mathrm{~m}=0.2 \mathrm{~cm} \)
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