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The sum of the numbers $$436.32,227.2,$$ and $$0.301$$ in the appropriate significant figures is:

 1 $$663.821$$ 2 $$664$$ 3 $$663.8$$ 4 $$663.82$$
Subtopic:  Significant Figures |
65%
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The mass and volume of a body are $$4.237~\mathrm{g}$$ and $$2.5~\mathrm{cm^3}$$, respectively. The density of the material of the body in correct significant figures will be:
1. $$1.6048~\mathrm{g~cm^{-3}}$$
2. $$1.69~\mathrm{g~cm^{-3}}$$
3. $$1.7~\mathrm{g~cm^{-3}}$$
4. $$1.695~\mathrm{g~cm^{-3}}$$

Subtopic:  Significant Figures |
83%
From NCERT
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The numbers $$2.745$$ and $$2.735$$ on rounding off to $$3$$ significant figures will give respectively,

 1 $$2.75$$  and $$2.74$$ 2 $$2.74$$  and $$2.73$$ 3 $$2.75$$ and $$2.73$$ 4 $$2.74$$ and $$2.74$$
Subtopic:  Significant Figures |
68%
From NCERT
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The length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm, respectively. The area of the sheet in appropriate significant figures and error would be, respectively,
1. 164 $±$ 3 ${\mathrm{cm}}^{2}$
2. 163.62 $±$ 2.6 ${\mathrm{cm}}^{2}$
3. 163.6 $±$ 2.6 ${\mathrm{cm}}^{2}$
4. 163.62 $±$ 3 ${\mathrm{cm}}^{2}$

Subtopic:  Errors | Significant Figures |
61%
From NCERT
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Which of the following pairs of physical quantities does not have the same dimensional formula?

 1 work and torque 2 angular momentum and Planck's constant 3 tension and surface tension 4 impulse and linear momentum

Subtopic:  Dimensions |
73%
From NCERT
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The measure of two quantities along with the precision of respective measuring instrument is . The value of AB will be:

1. (0.25 $±$ 0.08) m

2. (0.25 $±$ 0.5) m

3. (0.25 $±$ 0.05) m

4. (0.25 $±$ 0.135) m

Subtopic:  Errors |
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You measure two quantities as A = 1.0 m $±$ 0.2 m, B = 2.0 m $±$ 0.2 m. We should report the correct value for $\sqrt{\mathrm{AB}}$ as

1. 1.4 m $±$ 0.4 m

2. 1.41 m $±$ 0.15 m

3. 1.4 m $±$ 0.3 m

4. 1.4 m $±$ 0.2 m

Subtopic:  Errors |
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Which of the following measurement is most precise?
1. $$5.00$$ mm
2. $$5.00$$ cm
3. $$5.00$$ m
4. $$5.00$$ km

Subtopic:  Errors |
83%
From NCERT
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The mean length of an object is $$5~\text{cm}$$. Which of the following measurements is the most accurate?
1. $$4.9~\text{cm}$$
2. $$4.805~\text{cm}$$
3. $$5.25~\text{cm}$$
4. $$5.4~\text{cm}$$

Subtopic:  Errors |
80%
From NCERT
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Young's modulus of steel is $$1.9 \times 10^{11} \mathrm{~N} / \mathrm{m}^2$$. When expressed in CGS units of $$\mathrm{dyne/cm^2}$$, it will be equal to: $$(1 \mathrm{~N}=10^5 \text { dyne, } 1 \mathrm{~m}^2=10^4 \mathrm{~cm}^2)$$
1. $$1.9 \times 10^{10}$$
2. $$1.9 \times 10^{11}$$
3. $$1.9 \times 10^{12}$$
4. $$1.9 \times 10^9$$

Subtopic:  Dimensions |
73%
From NCERT
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