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# The mass and volume of a body are $$4.237~\text{grams}$$ and $$2.5~\text{cm}^3$$, respectively. The density of the material of the body in correct significant figures will be: 1. $$1.6048~\text{grams cm}^{-3}$$ 2. $$1.69~\text{grams cm}^{-3}$$ 3. $$1.7~\text{grams cm}^{-3}$$ 4. $$1.695~\text{grams cm}^{-3}$$

Subtopic:  Significant Figures |
84%
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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 |
69%
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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 $$164\pm3~\text{cm}^2$$ 2 $$163.62\pm2.6~\text{cm}^2$$ 3 $$163.6\pm2.6~\text{cm}^2$$ 4 $$163.62\pm3~\text{cm}^2$$
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 |
74%
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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%
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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%
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Young's modulus of steel is $$1.9 \times 10^{11} ~\text{N/m}^2$$. When expressed in CGS units of $$\text{dyne/cm}^2$$, it will be equal to: $$(1 \mathrm{~N}=10^5 \text { dyne, } 1~ \text{m}^2=10^4 ~\text{cm}^2)$$
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%
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If momentum ($${p}$$), area ($${A}$$), and time ($${T}$$) are taken to be fundamental quantities, then energy has the dimensional formula:
 1 $${\left[{pA}^{-1} {~T}^1\right]}$$ 2 $${\left[{p}^2 {AT}\right]}$$ 3 $${\left[{pA}^{-1 / 2} {~T}\right]}$$ 4 $${\left[{pA}^{1 / 2} {~T}^{-1}\right]}$$
Subtopic:  Dimensions |
76%
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