04. Significant Figures
Units and Measurements

139930 Assertion: Number of significant figures in 0.005 is one and that in 0.500 is three
Reason: This is because zeros are not significant.

1 If both assertion and reason are true and reason is the correct explanation of assertion.
2 If both assertion and reason are true but reason is not the correct explanation of assertion.
3 If assertion is true but reason is false.
4 If both assertion and reason are false.
Units and Measurements

139931 Two intervals of time are measured as \(\Delta t_{1}=\) \((2.00 \pm 0.02) \mathrm{s}\) and \(\Delta \mathrm{t}_{2}=(4.00 \pm 0.02) \mathrm{s}\). The value of with \(\sqrt{\left(\Delta t_{1}\right)\left(\Delta t_{2}\right)}\) with correct significant figures and error is

1 \((2.828 \pm 0.01) \mathrm{s}\)
2 \((2.83 \pm 0.02) \mathrm{s}\)
3 \((2.828 \pm 0.0075) \mathrm{s}\)
4 \((2.83 \pm 0.0075) \mathrm{s}\)
Units and Measurements

139932 Match the measurements given in List I with the number of significant figures given in List II.
| List-I | | List-II | |
| :--- | :--- | :--- | :--- |
| A | 74.083 | I. | 3 |
| B | 0.029 | II. | 4 |
| C | 0.002407 | III. | 2 |
| D | $2.74 \times 10^7$ | IV. | 5 |
The correct answer is

1 IV (A) II (B) III (C) I (D)
2 IV (A) III (B) II (C) I (D)
3 III (A) IV (B) II (C) I (D)
4 I (A) II (B) III (C) IV (D)
Units and Measurements

139933 The length and diameter of a cylinder are measured to be \(10.1031 \mathrm{~cm}\) and \(2.0935 \mathrm{~cm}\) respectively. The volume of the cylinder to an appropriate significant figure is.

1 \(139.04 \mathrm{~cm}^{3}\)
2 \(34.76 \mathrm{~cm}^{3}\)
3 \(134.75 \mathrm{~cm}^{3}\)
4 \(46.35 \mathrm{~cm}^{3}\)
Units and Measurements

139930 Assertion: Number of significant figures in 0.005 is one and that in 0.500 is three
Reason: This is because zeros are not significant.

1 If both assertion and reason are true and reason is the correct explanation of assertion.
2 If both assertion and reason are true but reason is not the correct explanation of assertion.
3 If assertion is true but reason is false.
4 If both assertion and reason are false.
Units and Measurements

139931 Two intervals of time are measured as \(\Delta t_{1}=\) \((2.00 \pm 0.02) \mathrm{s}\) and \(\Delta \mathrm{t}_{2}=(4.00 \pm 0.02) \mathrm{s}\). The value of with \(\sqrt{\left(\Delta t_{1}\right)\left(\Delta t_{2}\right)}\) with correct significant figures and error is

1 \((2.828 \pm 0.01) \mathrm{s}\)
2 \((2.83 \pm 0.02) \mathrm{s}\)
3 \((2.828 \pm 0.0075) \mathrm{s}\)
4 \((2.83 \pm 0.0075) \mathrm{s}\)
Units and Measurements

139932 Match the measurements given in List I with the number of significant figures given in List II.
| List-I | | List-II | |
| :--- | :--- | :--- | :--- |
| A | 74.083 | I. | 3 |
| B | 0.029 | II. | 4 |
| C | 0.002407 | III. | 2 |
| D | $2.74 \times 10^7$ | IV. | 5 |
The correct answer is

1 IV (A) II (B) III (C) I (D)
2 IV (A) III (B) II (C) I (D)
3 III (A) IV (B) II (C) I (D)
4 I (A) II (B) III (C) IV (D)
Units and Measurements

139933 The length and diameter of a cylinder are measured to be \(10.1031 \mathrm{~cm}\) and \(2.0935 \mathrm{~cm}\) respectively. The volume of the cylinder to an appropriate significant figure is.

1 \(139.04 \mathrm{~cm}^{3}\)
2 \(34.76 \mathrm{~cm}^{3}\)
3 \(134.75 \mathrm{~cm}^{3}\)
4 \(46.35 \mathrm{~cm}^{3}\)
Units and Measurements

139930 Assertion: Number of significant figures in 0.005 is one and that in 0.500 is three
Reason: This is because zeros are not significant.

1 If both assertion and reason are true and reason is the correct explanation of assertion.
2 If both assertion and reason are true but reason is not the correct explanation of assertion.
3 If assertion is true but reason is false.
4 If both assertion and reason are false.
Units and Measurements

139931 Two intervals of time are measured as \(\Delta t_{1}=\) \((2.00 \pm 0.02) \mathrm{s}\) and \(\Delta \mathrm{t}_{2}=(4.00 \pm 0.02) \mathrm{s}\). The value of with \(\sqrt{\left(\Delta t_{1}\right)\left(\Delta t_{2}\right)}\) with correct significant figures and error is

1 \((2.828 \pm 0.01) \mathrm{s}\)
2 \((2.83 \pm 0.02) \mathrm{s}\)
3 \((2.828 \pm 0.0075) \mathrm{s}\)
4 \((2.83 \pm 0.0075) \mathrm{s}\)
Units and Measurements

139932 Match the measurements given in List I with the number of significant figures given in List II.
| List-I | | List-II | |
| :--- | :--- | :--- | :--- |
| A | 74.083 | I. | 3 |
| B | 0.029 | II. | 4 |
| C | 0.002407 | III. | 2 |
| D | $2.74 \times 10^7$ | IV. | 5 |
The correct answer is

1 IV (A) II (B) III (C) I (D)
2 IV (A) III (B) II (C) I (D)
3 III (A) IV (B) II (C) I (D)
4 I (A) II (B) III (C) IV (D)
Units and Measurements

139933 The length and diameter of a cylinder are measured to be \(10.1031 \mathrm{~cm}\) and \(2.0935 \mathrm{~cm}\) respectively. The volume of the cylinder to an appropriate significant figure is.

1 \(139.04 \mathrm{~cm}^{3}\)
2 \(34.76 \mathrm{~cm}^{3}\)
3 \(134.75 \mathrm{~cm}^{3}\)
4 \(46.35 \mathrm{~cm}^{3}\)
Units and Measurements

139930 Assertion: Number of significant figures in 0.005 is one and that in 0.500 is three
Reason: This is because zeros are not significant.

1 If both assertion and reason are true and reason is the correct explanation of assertion.
2 If both assertion and reason are true but reason is not the correct explanation of assertion.
3 If assertion is true but reason is false.
4 If both assertion and reason are false.
Units and Measurements

139931 Two intervals of time are measured as \(\Delta t_{1}=\) \((2.00 \pm 0.02) \mathrm{s}\) and \(\Delta \mathrm{t}_{2}=(4.00 \pm 0.02) \mathrm{s}\). The value of with \(\sqrt{\left(\Delta t_{1}\right)\left(\Delta t_{2}\right)}\) with correct significant figures and error is

1 \((2.828 \pm 0.01) \mathrm{s}\)
2 \((2.83 \pm 0.02) \mathrm{s}\)
3 \((2.828 \pm 0.0075) \mathrm{s}\)
4 \((2.83 \pm 0.0075) \mathrm{s}\)
Units and Measurements

139932 Match the measurements given in List I with the number of significant figures given in List II.
| List-I | | List-II | |
| :--- | :--- | :--- | :--- |
| A | 74.083 | I. | 3 |
| B | 0.029 | II. | 4 |
| C | 0.002407 | III. | 2 |
| D | $2.74 \times 10^7$ | IV. | 5 |
The correct answer is

1 IV (A) II (B) III (C) I (D)
2 IV (A) III (B) II (C) I (D)
3 III (A) IV (B) II (C) I (D)
4 I (A) II (B) III (C) IV (D)
Units and Measurements

139933 The length and diameter of a cylinder are measured to be \(10.1031 \mathrm{~cm}\) and \(2.0935 \mathrm{~cm}\) respectively. The volume of the cylinder to an appropriate significant figure is.

1 \(139.04 \mathrm{~cm}^{3}\)
2 \(34.76 \mathrm{~cm}^{3}\)
3 \(134.75 \mathrm{~cm}^{3}\)
4 \(46.35 \mathrm{~cm}^{3}\)