Physics Measurements and Experimentation Numerical1b
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Q1 A stop watch has 10 divisions graduated between the 0 and 5s marks. What is its least count?
Q2 A vernier has 10 divisions and they are equal to 9 divisions of main scale in length. If the main scale is calibrated in mm, what is its least count?
Q3 A microscope is provided with a main scale graduated with 20 divisions in 1cm and a vernier scale with 50 divisions on it of length same as of 49 divisions of main scale. Find the least count of the microscope.
Q4 A boy uses a vernier calipers to measure the thickness of his pencil. He measures it to be 1.4mm. If the zero error of vernier calipers is +0.02cm, what is the correct thickness of pencil?
Q5 A vernier calipers has its main scale graduated in mm and 10 divisions on its vernier scale are equal in length to 9mm. When the two jaws are in contact, the zero of vernier scale is ahead of zero of main scale and 3rd division of vernier scale coincides with a main scale division. Find: (i) the least count and (ii) the zero error of the vernier calipers.
Q6 The main scale of a vernier calipers is calibrated in mm and 19 divisions of main scale are equal in length to 20 divisions of vernier scale. In measuring the diameter of a cylinder by this instrument, the main scale reads 35 divisions and 4th division of vernier scale coincides with a main scale division. Find: (i) least count and (ii) radius of cylinder
Q7 In a vernier calipers, there are 10 divisions on the vernier scale and 1cm on the main scale is divided in 10 parts. While measuring a length, the zero of the vernier lies just ahead of 1.8cm mark and 4th division of vernier coincides with a main scale division.
(a) Find the length
(b) If zero of vernier calipers is -0.02cm, what is the correct length?
Q8 While measuring the length of a rod with a vernier calipers, Figure below shows the position of its scales. What is the length of the rod?
Q9 The pitch of a screw gauge is 0.5mm and the head scale is divided in 100 parts. What is the least count of screw gauge?
Q10 The thimble of a screw gauge has 50 divisions. The spindle advances 1mm when the screw is turned through two revolutions.
(i) What is the pitch of screw gauge?
(ii) What is the least count of the screw gauge?
Q11 The pitch of a screw gauge is 1mm and its circular scale has 100 divisions. In measurement of the diameter of a wire, the main scale reads 2mm and 45th mark on circular scale coincides with the base line. Find:
(i) The least count, and
(ii) The diameter of the wire
Q12 When a screw gauge of least count 0.01mm is used to measure the diameter of a wire, the reading on the sleeve is found to be 1mm and the reading on the thimble is found to be 27 divisions. (i) what is the diameter of the wire in cm? (ii) if the zero error is +0.005cm, what is the correct diameter?
Q13 A screw gauge has 50 divisions on its circular scale and its screw moves by 1mm on turning it by two rotations. When the flat end of the screw is in contact with the stud, the zero of circular scale lies below the base line and 4th division of circular scale is in line with the base line. Find: (i) the pitch, (ii) the least count and (iii) the zero error, of the screw gauge.
Q14 4. Figure below shows the reading obtained while measuring the diameter of a wire with a screw gauge. The screw advances by 1 division on main scale when circular head is rotated once. Find:
(i) pitch of the screw gauge,
(ii) Least count of the screw gauge, and
(iii) The diameter of the wire.
Q15 A screw has a pitch equal to 0.5mm. What should be the number of division on its head so as to read correct up to 0.001mm with its help?
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