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# The dimensions of $$(\mu_0\varepsilon_0)^{\frac{-1}{2}}$$ are: 1. $$\left[L^{-1}T\right]$$ 2. $$\left[LT^{-1}\right]$$ 3. $$\left[L^{{-1/2}}T^{{1/2}}\right]$$ 4. $$\left[L^{{-1/2}}T^{{-1/2}}\right]$$

Subtopic: Â Dimensions |
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If $$y = a\sin(bt-cx)$$, where $$y$$ and $$x$$ represent length and $$t$$ represents time, then which of the following has the same dimensions as that of $$\dfrac{ab^2}{c}?$$
1. $$(\text{speed})^2$$
2. $$\text{momentum}$$
3. $$\text{angle}$$
4. $$\text{acceleration}$$

Subtopic: Â Dimensions |
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We measure the period of oscillation of a simple pendulum. In successive measurements, the readings turn out to be 2.63 s, 2.56 s, 2.42 s, 2.71 s, and 2.80 s. The average absolute error and percentage error, respectively, are:

1.  0.22 s and 4%

2.  0.11 s and 4%

3.  4 s and 0.11%

4.  5 s and 0.22%

Subtopic: Â Measurement & Measuring Devices |
Â 75%
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A screw gauge gives the following readings when used to measure the diameter of a wire:
Main scale reading: $$0$$ mm
Circular scale reading: $$52$$ divisions
Given that $$1$$ mm on the main scale corresponds to $$100$$ divisions on the circular scale, the diameter of the wire that can be inferred from the given data is:

 1 $$0.26$$ cm 2 $$0.052$$ cm 3 $$0.52$$ cm 4 $$0.026$$ cm
Subtopic: Â Measurement & Measuring Devices |
Â 67%
From NCERT
NEET - 2021
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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: Â Errors |
Â 80%
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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: Â Significant Figures |
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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: Â Significant Figures |
Â 84%
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Which of the following measurements is the most precise?

1. 5.00 mm

2. 5.00 cm

3. 5.00 m

4. 5.00 km

Subtopic: Â Significant Figures |
Â 78%
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Taking into account the significant figures, what is the value of $$(9.99~\text{m}-0.0099~\text{m})$$?
 1 $$9.98$$ m 2 $$9.980$$ m 3 $$9.9$$ m 4 $$9.9801$$ m
Subtopic: Â Significant Figures |
Â 70%
From NCERT
NEET - 2020
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A screw gauge has the least count of $$0.01~\text{mm}$$ and there are $$50$$ divisions in its circular scale. The pitch of the screw gauge is:

 1 $$0.25$$ mm 2 $$0.5$$ mm 3 $$1.0$$ mm 4 $$0.01$$ mm
Subtopic: Â Measurement & Measuring Devices |
Â 85%
From NCERT
NEET - 2020
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