Significant Figures

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JEE Advanced 2005

The edge of a cube is measured using a vernier caliper. (9 divisions of the main scale is equal to 10 divisions of vernier scale and 1 main scale division is 1 mm). The main scale division reading is 10 and 1 division of vernier scale was found to be coinciding with the main scale. The mass of the cube is $2.736 g$ . Calculate the density in $g/cm^{3}$ upto correct significant figures.

JEE Main 2003

A cube has a side of length $1.2 \times 1 0^{- 2} m$ . Calculate its volume.

1.7 \times 1 0^{- 6} m^{3}

(B)

1.73 \times 1 0^{- 6} m^{3}

(C)

1.70 \times 1 0^{- 6} m^{3}

(D)

1.732 \times 1 0^{- 6} m^{3}

JEE Advanced 2004

LEVELJEE Main

The pitch of a screw gauge is $1 mm$ and there are $100$ divisions on the circular scale. While measuring the diameter of a wire, the linear scale reads $1 mm$ and $4 7^{th}$ division on the circular scale coincides with the reference line. The length of the wire is $5.6 cm$ . Find the curved surface area (in $cm^{2}$ ) of the wire in appropriate number of significant figures.

JEE Advanced 2025

LEVELJEE Main

Length, breadth and thickness of a strip having a uniform cross section are measured to be $10.5 cm$ , $0.05 mm$ , and $6.0 \mu m$ , respectively. Which of the following option(s) give(s) the volume of the strip in $cm^{3}$ with correct significant figures:

* Multiple Correct Options

(A)

3.2 \times 1 0^{- 5}

(B)

32.0 \times 1 0^{- 6}

(C)

3.0 \times 1 0^{- 5}

(D)

3 \times 1 0^{- 5}

JEE Main 2019

LEVELJEE Advanced

The area of a square is $5.29 cm^{2}$ . The area of $7$ such squares taking into account the significant figures is

(A)

37.030 cm^{2}

(B)

37.0 cm^{2}

(C)

37.03 cm^{2}

(D)

37 cm^{2}

JEE Main 2010

LEVELBoard

The respective number of significant figures for the numbers $23.023$ , $0.0003$ and $2.1 \times 1 0^{- 3}$ are

A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings; $5.50 mm$ , $5.55 mm$ , $5.45 mm$ and $5.65 mm$ . The average of these four readings is $5.5375 mm$ and the standard deviation of the data is $0.07395 mm$ . The average diameter of the pencil should be therefore recorded as

(A)

(5.5375 \pm 0.0739) mm

(B)

(5.5375 \pm 0.0740) mm

(C)

(5.538 \pm 0.074) mm

(D)

(5.54 \pm 0.07) mm

LEVELBoard

A body of mass $m = 3.513 kg$ is moving along the x-axis with a speed of $5.00 ms^{- 1}$ . The magnitude of its momentum is recorded as

(A)

17.6 kg ms^{- 1}

(B)

17.565 kg ms^{- 1}

(C)

17.56 kg ms^{- 1}

(D)

17.57 kg ms^{- 1}

JEE Main 2020

LEVELJEE Main

For the four sets of three measured physical quantities as given below. Which of the following options is correct ? (i) $A_{1} = 24.36, B_{1} = 0.0724, C_{1} = 256.2$ (ii) $A_{2} = 24.44, B_{2} = 16.082, C_{3} = 240.2$ (iii) $A_{3} = 25.2, B_{3} = 19.2812, C_{3} = 236.183$ (iv) $A_{4} = 25, B_{4} = 236.191, C_{4} = 19.5$

(A)

A_{1} + B_{1} + C_{1} < A_{3} + B_{3} + C_{3} < A_{2} + B_{2} + C_{2} < A_{4} + B_{4} + C_{4}

(B)

A_{4} + B_{4} + C_{4} < A_{1} + B_{1} + C_{1} = A_{2} + B_{2} + C_{2} = A_{3} + B_{3} + C_{3}

(C)

A_{4} + B_{4} + C_{4} < A_{1} + B_{1} + C_{1} = A_{3} + B_{3} + C_{3} < A_{2} + B_{2} + C_{2}

(D)

A_{1} + B_{1} + C_{1} = A_{2} + B_{2} + C_{2} = A_{3} + B_{3} + C_{3} = A_{4} + B_{4} + C_{4}

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } A cube has a side of length 1.2×10−2 m. Calculate its volume.

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The area of a square is 5.29 cm2. The area of 7 such squares taking into account the significant figures is

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1×10−3 are

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } A body of mass m=3.513 kg is moving along the x-axis with a speed of 5.00 ms−1. The magnitude of its momentum is recorded as

A cube has a side of length $1.2 \times 1 0^{- 2} m$ . Calculate its volume.

The area of a square is $5.29 cm^{2}$ . The area of $7$ such squares taking into account the significant figures is

The respective number of significant figures for the numbers $23.023$ , $0.0003$ and $2.1 \times 1 0^{- 3}$ are

A body of mass $m = 3.513 kg$ is moving along the x-axis with a speed of $5.00 ms^{- 1}$ . The magnitude of its momentum is recorded as