In a vernier calipers, there are 10 divisions on the vernier scale and 1 cm on the main scale is divided in 10 parts. While measuring a length, the zero of the vernier lies just ahead of 1.8 cm mark and 4th division of vernier coincides with a main scale division. The value of length is

 

  •  In a vernier calipers, there are 10 divisions on the vernier scale and 1 cm on the main scale is divided in 10 parts. While measuring a length, the zero of the vernier lies just ahead of 1.8 cm mark and 4th division of vernier coincides with a main scale division. The value of length is 
    1. 1.804 cm
    2. 1.840 cm
    3. 1.800 cm
    4. None of these 
        Ans.    As we know that the measurement taken by a vernier calipers
                    = reading on main scale just before zero mark of vernier scale 
                       + (number of divisions of vernier scale coinciding with any main scale division
                          x least count of the vernier calipers)
                    
                   Moreover, we know that the least count of any vernier calipers
                    = the value of smallest division of main scale / number of divisions of vernier scale  
                    = (1 cm/10) / 10 (As per given information)
                    = 0.1 cm/10
                    = 0.01 cm
                    Now, the measurement taken by the vernier calipers
                    = 1.8 cm + (4 x 0.01 cm) (As per given information)
                    = 1.8 cm + 0.04 cm
                    = 1.84 cm  
                    Therefore, option 2 that is 1.840 cm is correct.       

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