04. Significant Figures
Units and Measurements

139946 Assertion: The number of significant figures depends on the least count of measuring instrument.
Reason: Significant figures define the accuracy of measuring instrument.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Units and Measurements

139953 A screw gauge of pitch \(0.5 \mathrm{~mm}\) is used to measure the diameter of uniform wire of length \(6.8 \mathrm{~cm}\), the main scale reading is \(1.5 \mathrm{~mm}\) and circular scale reading is 7 . The calculated curved surface area of wire to appropriate significant figures is:
[Screw gauge has 50 divisions on the circular scale]

1 \(6.8 \mathrm{~cm}^{2}\)
2 \(3.4 \mathrm{~cm}^{2}\)
3 \(3.9 \mathrm{~cm}^{2}\)
4 \(2.4 \mathrm{~cm}^{2}\)
Units and Measurements

139954 One main scale division of a vernier callipers is a \(\mathrm{cm}\) and \(\mathrm{n}^{\text {th }}\) division of the vernier scale coincide with \((n-1)^{\text {th }}\) division of the main scale. The least count of the callipers (in \(\mathbf{~ m m}\) ) is

1 \(\frac{10 \mathrm{na}}{(\mathrm{n}-1)}\)
2 \(\frac{10 a}{(n-1)}\)
3 \(\left(\frac{\mathrm{n}-1}{10 \mathrm{n}}\right) \mathrm{a}\)
4 \(\frac{10 \mathrm{a}}{\mathrm{n}}\)
Units and Measurements

139927 Number of significant figures in expression \(\frac{4.327 \mathrm{~g}}{2.51 \mathrm{~cm}^{3}}\) is

1 2
2 4
3 3
4 5
Units and Measurements

139946 Assertion: The number of significant figures depends on the least count of measuring instrument.
Reason: Significant figures define the accuracy of measuring instrument.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Units and Measurements

139953 A screw gauge of pitch \(0.5 \mathrm{~mm}\) is used to measure the diameter of uniform wire of length \(6.8 \mathrm{~cm}\), the main scale reading is \(1.5 \mathrm{~mm}\) and circular scale reading is 7 . The calculated curved surface area of wire to appropriate significant figures is:
[Screw gauge has 50 divisions on the circular scale]

1 \(6.8 \mathrm{~cm}^{2}\)
2 \(3.4 \mathrm{~cm}^{2}\)
3 \(3.9 \mathrm{~cm}^{2}\)
4 \(2.4 \mathrm{~cm}^{2}\)
Units and Measurements

139954 One main scale division of a vernier callipers is a \(\mathrm{cm}\) and \(\mathrm{n}^{\text {th }}\) division of the vernier scale coincide with \((n-1)^{\text {th }}\) division of the main scale. The least count of the callipers (in \(\mathbf{~ m m}\) ) is

1 \(\frac{10 \mathrm{na}}{(\mathrm{n}-1)}\)
2 \(\frac{10 a}{(n-1)}\)
3 \(\left(\frac{\mathrm{n}-1}{10 \mathrm{n}}\right) \mathrm{a}\)
4 \(\frac{10 \mathrm{a}}{\mathrm{n}}\)
Units and Measurements

139927 Number of significant figures in expression \(\frac{4.327 \mathrm{~g}}{2.51 \mathrm{~cm}^{3}}\) is

1 2
2 4
3 3
4 5
Units and Measurements

139946 Assertion: The number of significant figures depends on the least count of measuring instrument.
Reason: Significant figures define the accuracy of measuring instrument.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Units and Measurements

139953 A screw gauge of pitch \(0.5 \mathrm{~mm}\) is used to measure the diameter of uniform wire of length \(6.8 \mathrm{~cm}\), the main scale reading is \(1.5 \mathrm{~mm}\) and circular scale reading is 7 . The calculated curved surface area of wire to appropriate significant figures is:
[Screw gauge has 50 divisions on the circular scale]

1 \(6.8 \mathrm{~cm}^{2}\)
2 \(3.4 \mathrm{~cm}^{2}\)
3 \(3.9 \mathrm{~cm}^{2}\)
4 \(2.4 \mathrm{~cm}^{2}\)
Units and Measurements

139954 One main scale division of a vernier callipers is a \(\mathrm{cm}\) and \(\mathrm{n}^{\text {th }}\) division of the vernier scale coincide with \((n-1)^{\text {th }}\) division of the main scale. The least count of the callipers (in \(\mathbf{~ m m}\) ) is

1 \(\frac{10 \mathrm{na}}{(\mathrm{n}-1)}\)
2 \(\frac{10 a}{(n-1)}\)
3 \(\left(\frac{\mathrm{n}-1}{10 \mathrm{n}}\right) \mathrm{a}\)
4 \(\frac{10 \mathrm{a}}{\mathrm{n}}\)
Units and Measurements

139927 Number of significant figures in expression \(\frac{4.327 \mathrm{~g}}{2.51 \mathrm{~cm}^{3}}\) is

1 2
2 4
3 3
4 5
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Units and Measurements

139946 Assertion: The number of significant figures depends on the least count of measuring instrument.
Reason: Significant figures define the accuracy of measuring instrument.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Units and Measurements

139953 A screw gauge of pitch \(0.5 \mathrm{~mm}\) is used to measure the diameter of uniform wire of length \(6.8 \mathrm{~cm}\), the main scale reading is \(1.5 \mathrm{~mm}\) and circular scale reading is 7 . The calculated curved surface area of wire to appropriate significant figures is:
[Screw gauge has 50 divisions on the circular scale]

1 \(6.8 \mathrm{~cm}^{2}\)
2 \(3.4 \mathrm{~cm}^{2}\)
3 \(3.9 \mathrm{~cm}^{2}\)
4 \(2.4 \mathrm{~cm}^{2}\)
Units and Measurements

139954 One main scale division of a vernier callipers is a \(\mathrm{cm}\) and \(\mathrm{n}^{\text {th }}\) division of the vernier scale coincide with \((n-1)^{\text {th }}\) division of the main scale. The least count of the callipers (in \(\mathbf{~ m m}\) ) is

1 \(\frac{10 \mathrm{na}}{(\mathrm{n}-1)}\)
2 \(\frac{10 a}{(n-1)}\)
3 \(\left(\frac{\mathrm{n}-1}{10 \mathrm{n}}\right) \mathrm{a}\)
4 \(\frac{10 \mathrm{a}}{\mathrm{n}}\)
Units and Measurements

139927 Number of significant figures in expression \(\frac{4.327 \mathrm{~g}}{2.51 \mathrm{~cm}^{3}}\) is

1 2
2 4
3 3
4 5