05. Measuring Instruments
Units and Measurements

139955 The vernier scale used for measurement has a positive zero error of \(0.2 \mathrm{~mm}\). If while taking a measurement, it was noted that ' 0 ' on the vernier scale lies between \(8.5 \mathrm{~cm}\) and \(8.6 \mathrm{~cm}\), vernier coincidence is 6 , then the correct value of measurement is cm.

1 8.36
2 8.54
3 8.58
4 8.56
Units and Measurements

139956 A student is performing the experiment of resonance column. The diameter of the column tube is \(6 \mathrm{~cm}\). The frequency of the tuning fork is \(504 \mathrm{~Hz}\). Speed of the sound at the given temperature is \(336 \mathrm{~m} / \mathrm{s}\). The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is

1 \(13 \mathrm{~cm}\)
2 \(16.6 \mathrm{~cm}\)
3 \(18.4 \mathrm{~cm}\)
4 \(14.8 \mathrm{~cm}\)
Units and Measurements

139957 In a screw gauge, \(5^{\text {th }}\) division the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the circular scale, and the main scale moves by 0.5 mm on a complete rotation. For a particular observation the reading on the main scale is 5 \(\mathrm{mm}\) and the \(20^{\text {th }}\) division of the circular scale coincides with reference line calculate the true reading.

1 \(5.00 \mathrm{~mm}\)
2 \(5.25 \mathrm{~mm}\)
3 \(5.15 \mathrm{~mm}\)
4 \(5.20 \mathrm{~mm}\)
Units and Measurements

139958 Assertion A- If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is \(5 \mathrm{~mm}\) and there are 50 total divisions on circular scale, then least count is \(0.001 \mathrm{~cm}\).
Reason R- Least count
\(=\frac{\text { Pitch }}{\text { Total divisions on circular scale }}\).
In the light of the above statements, choose the most appropriate answer from the options given below.

1 Both \(\mathrm{A}\) and \(\mathrm{R}\) are correct and \(\mathrm{R}\) is the correct explanation of \(\mathrm{A}\).
2 Both \(\mathrm{A}\) and \(\mathrm{R}\) are correct and \(\mathrm{R}\) is not the correct explanation of A.
3 A is correct but R is not correct.
4 A is not correct but R is correct.
Units and Measurements

139959 The pitch of the screw gauge is \(1 \mathrm{~mm}\) and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while \({72^{\text {nd }}}^{\text {ndivision on circular scale }}\) coincides with the reference line. The radius of the wire is

1 \(1.64 \mathrm{~mm}\)
2 \(0.82 \mathrm{~mm}\)
3 \(1.80 \mathrm{~mm}\)
4 \(0.90 \mathrm{~mm}\)
Units and Measurements

139955 The vernier scale used for measurement has a positive zero error of \(0.2 \mathrm{~mm}\). If while taking a measurement, it was noted that ' 0 ' on the vernier scale lies between \(8.5 \mathrm{~cm}\) and \(8.6 \mathrm{~cm}\), vernier coincidence is 6 , then the correct value of measurement is cm.

1 8.36
2 8.54
3 8.58
4 8.56
Units and Measurements

139956 A student is performing the experiment of resonance column. The diameter of the column tube is \(6 \mathrm{~cm}\). The frequency of the tuning fork is \(504 \mathrm{~Hz}\). Speed of the sound at the given temperature is \(336 \mathrm{~m} / \mathrm{s}\). The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is

1 \(13 \mathrm{~cm}\)
2 \(16.6 \mathrm{~cm}\)
3 \(18.4 \mathrm{~cm}\)
4 \(14.8 \mathrm{~cm}\)
Units and Measurements

139957 In a screw gauge, \(5^{\text {th }}\) division the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the circular scale, and the main scale moves by 0.5 mm on a complete rotation. For a particular observation the reading on the main scale is 5 \(\mathrm{mm}\) and the \(20^{\text {th }}\) division of the circular scale coincides with reference line calculate the true reading.

1 \(5.00 \mathrm{~mm}\)
2 \(5.25 \mathrm{~mm}\)
3 \(5.15 \mathrm{~mm}\)
4 \(5.20 \mathrm{~mm}\)
Units and Measurements

139958 Assertion A- If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is \(5 \mathrm{~mm}\) and there are 50 total divisions on circular scale, then least count is \(0.001 \mathrm{~cm}\).
Reason R- Least count
\(=\frac{\text { Pitch }}{\text { Total divisions on circular scale }}\).
In the light of the above statements, choose the most appropriate answer from the options given below.

1 Both \(\mathrm{A}\) and \(\mathrm{R}\) are correct and \(\mathrm{R}\) is the correct explanation of \(\mathrm{A}\).
2 Both \(\mathrm{A}\) and \(\mathrm{R}\) are correct and \(\mathrm{R}\) is not the correct explanation of A.
3 A is correct but R is not correct.
4 A is not correct but R is correct.
Units and Measurements

139959 The pitch of the screw gauge is \(1 \mathrm{~mm}\) and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while \({72^{\text {nd }}}^{\text {ndivision on circular scale }}\) coincides with the reference line. The radius of the wire is

1 \(1.64 \mathrm{~mm}\)
2 \(0.82 \mathrm{~mm}\)
3 \(1.80 \mathrm{~mm}\)
4 \(0.90 \mathrm{~mm}\)
Units and Measurements

139955 The vernier scale used for measurement has a positive zero error of \(0.2 \mathrm{~mm}\). If while taking a measurement, it was noted that ' 0 ' on the vernier scale lies between \(8.5 \mathrm{~cm}\) and \(8.6 \mathrm{~cm}\), vernier coincidence is 6 , then the correct value of measurement is cm.

1 8.36
2 8.54
3 8.58
4 8.56
Units and Measurements

139956 A student is performing the experiment of resonance column. The diameter of the column tube is \(6 \mathrm{~cm}\). The frequency of the tuning fork is \(504 \mathrm{~Hz}\). Speed of the sound at the given temperature is \(336 \mathrm{~m} / \mathrm{s}\). The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is

1 \(13 \mathrm{~cm}\)
2 \(16.6 \mathrm{~cm}\)
3 \(18.4 \mathrm{~cm}\)
4 \(14.8 \mathrm{~cm}\)
Units and Measurements

139957 In a screw gauge, \(5^{\text {th }}\) division the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the circular scale, and the main scale moves by 0.5 mm on a complete rotation. For a particular observation the reading on the main scale is 5 \(\mathrm{mm}\) and the \(20^{\text {th }}\) division of the circular scale coincides with reference line calculate the true reading.

1 \(5.00 \mathrm{~mm}\)
2 \(5.25 \mathrm{~mm}\)
3 \(5.15 \mathrm{~mm}\)
4 \(5.20 \mathrm{~mm}\)
Units and Measurements

139958 Assertion A- If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is \(5 \mathrm{~mm}\) and there are 50 total divisions on circular scale, then least count is \(0.001 \mathrm{~cm}\).
Reason R- Least count
\(=\frac{\text { Pitch }}{\text { Total divisions on circular scale }}\).
In the light of the above statements, choose the most appropriate answer from the options given below.

1 Both \(\mathrm{A}\) and \(\mathrm{R}\) are correct and \(\mathrm{R}\) is the correct explanation of \(\mathrm{A}\).
2 Both \(\mathrm{A}\) and \(\mathrm{R}\) are correct and \(\mathrm{R}\) is not the correct explanation of A.
3 A is correct but R is not correct.
4 A is not correct but R is correct.
Units and Measurements

139959 The pitch of the screw gauge is \(1 \mathrm{~mm}\) and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while \({72^{\text {nd }}}^{\text {ndivision on circular scale }}\) coincides with the reference line. The radius of the wire is

1 \(1.64 \mathrm{~mm}\)
2 \(0.82 \mathrm{~mm}\)
3 \(1.80 \mathrm{~mm}\)
4 \(0.90 \mathrm{~mm}\)
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Units and Measurements

139955 The vernier scale used for measurement has a positive zero error of \(0.2 \mathrm{~mm}\). If while taking a measurement, it was noted that ' 0 ' on the vernier scale lies between \(8.5 \mathrm{~cm}\) and \(8.6 \mathrm{~cm}\), vernier coincidence is 6 , then the correct value of measurement is cm.

1 8.36
2 8.54
3 8.58
4 8.56
Units and Measurements

139956 A student is performing the experiment of resonance column. The diameter of the column tube is \(6 \mathrm{~cm}\). The frequency of the tuning fork is \(504 \mathrm{~Hz}\). Speed of the sound at the given temperature is \(336 \mathrm{~m} / \mathrm{s}\). The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is

1 \(13 \mathrm{~cm}\)
2 \(16.6 \mathrm{~cm}\)
3 \(18.4 \mathrm{~cm}\)
4 \(14.8 \mathrm{~cm}\)
Units and Measurements

139957 In a screw gauge, \(5^{\text {th }}\) division the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the circular scale, and the main scale moves by 0.5 mm on a complete rotation. For a particular observation the reading on the main scale is 5 \(\mathrm{mm}\) and the \(20^{\text {th }}\) division of the circular scale coincides with reference line calculate the true reading.

1 \(5.00 \mathrm{~mm}\)
2 \(5.25 \mathrm{~mm}\)
3 \(5.15 \mathrm{~mm}\)
4 \(5.20 \mathrm{~mm}\)
Units and Measurements

139958 Assertion A- If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is \(5 \mathrm{~mm}\) and there are 50 total divisions on circular scale, then least count is \(0.001 \mathrm{~cm}\).
Reason R- Least count
\(=\frac{\text { Pitch }}{\text { Total divisions on circular scale }}\).
In the light of the above statements, choose the most appropriate answer from the options given below.

1 Both \(\mathrm{A}\) and \(\mathrm{R}\) are correct and \(\mathrm{R}\) is the correct explanation of \(\mathrm{A}\).
2 Both \(\mathrm{A}\) and \(\mathrm{R}\) are correct and \(\mathrm{R}\) is not the correct explanation of A.
3 A is correct but R is not correct.
4 A is not correct but R is correct.
Units and Measurements

139959 The pitch of the screw gauge is \(1 \mathrm{~mm}\) and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while \({72^{\text {nd }}}^{\text {ndivision on circular scale }}\) coincides with the reference line. The radius of the wire is

1 \(1.64 \mathrm{~mm}\)
2 \(0.82 \mathrm{~mm}\)
3 \(1.80 \mathrm{~mm}\)
4 \(0.90 \mathrm{~mm}\)
Units and Measurements

139955 The vernier scale used for measurement has a positive zero error of \(0.2 \mathrm{~mm}\). If while taking a measurement, it was noted that ' 0 ' on the vernier scale lies between \(8.5 \mathrm{~cm}\) and \(8.6 \mathrm{~cm}\), vernier coincidence is 6 , then the correct value of measurement is cm.

1 8.36
2 8.54
3 8.58
4 8.56
Units and Measurements

139956 A student is performing the experiment of resonance column. The diameter of the column tube is \(6 \mathrm{~cm}\). The frequency of the tuning fork is \(504 \mathrm{~Hz}\). Speed of the sound at the given temperature is \(336 \mathrm{~m} / \mathrm{s}\). The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is

1 \(13 \mathrm{~cm}\)
2 \(16.6 \mathrm{~cm}\)
3 \(18.4 \mathrm{~cm}\)
4 \(14.8 \mathrm{~cm}\)
Units and Measurements

139957 In a screw gauge, \(5^{\text {th }}\) division the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the circular scale, and the main scale moves by 0.5 mm on a complete rotation. For a particular observation the reading on the main scale is 5 \(\mathrm{mm}\) and the \(20^{\text {th }}\) division of the circular scale coincides with reference line calculate the true reading.

1 \(5.00 \mathrm{~mm}\)
2 \(5.25 \mathrm{~mm}\)
3 \(5.15 \mathrm{~mm}\)
4 \(5.20 \mathrm{~mm}\)
Units and Measurements

139958 Assertion A- If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is \(5 \mathrm{~mm}\) and there are 50 total divisions on circular scale, then least count is \(0.001 \mathrm{~cm}\).
Reason R- Least count
\(=\frac{\text { Pitch }}{\text { Total divisions on circular scale }}\).
In the light of the above statements, choose the most appropriate answer from the options given below.

1 Both \(\mathrm{A}\) and \(\mathrm{R}\) are correct and \(\mathrm{R}\) is the correct explanation of \(\mathrm{A}\).
2 Both \(\mathrm{A}\) and \(\mathrm{R}\) are correct and \(\mathrm{R}\) is not the correct explanation of A.
3 A is correct but R is not correct.
4 A is not correct but R is correct.
Units and Measurements

139959 The pitch of the screw gauge is \(1 \mathrm{~mm}\) and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while \({72^{\text {nd }}}^{\text {ndivision on circular scale }}\) coincides with the reference line. The radius of the wire is

1 \(1.64 \mathrm{~mm}\)
2 \(0.82 \mathrm{~mm}\)
3 \(1.80 \mathrm{~mm}\)
4 \(0.90 \mathrm{~mm}\)