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A student measured the diameter of a small steel ball using a screw gauge of least count $$0.001$$ cm. The main scale reading is $$5$$ mm and zero of circular scale division coincides with $$25$$ divisions above the reference level. If the screw gauge has a zero error of $$-0.004$$ cm, the correct diameter of the ball is:
1. $$0.521$$ cm
2. $$0.525$$ cm
3. $$0.053$$ cm
4. $$0.529$$ cm

Subtopic: Â Measurement & Measuring Devices |
Â 63%
From NCERT
NEET - 2018
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A physical quantity of the dimensions of length that can be formed out of $$c, G,~\text{and}~\frac{e^2}{4\pi\varepsilon_0}$$is [$$c$$ is the velocity of light, $$G$$ is the universal constant of gravitation and $$e$$ is charge]:
$$1. ~c^2\left[G \frac{e^2}{4 \pi \varepsilon_0}\right]^{\frac{1}{2}}\\ 2.~ \frac{1}{c^2}\left[\frac{e^2}{4 G \pi \varepsilon_0}\right]^{\frac{1}{2}}\\ 3. ~\frac{1}{c} G \frac{e^2}{4 \pi \varepsilon_0}\\ 4. ~\frac{1}{c^2}\left[G \frac{e^2}{4 \pi \varepsilon_0}\right]^{\frac{1}{2}}$$

Subtopic: Â Dimensions |
Â 54%
From NCERT
NEET - 2017
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NEET 2023 - Target Batch - Aryan Raj Singh
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NEET 2023 - Target Batch - Aryan Raj Singh

Planck's constant ($$h$$), speed of light in the vacuum ($$c$$), and Newton's gravitational constant ($$G$$) are the three fundamental constants. Which of the following combinations of these has the dimension of length?

 1 $$\frac{\sqrt{hG}}{c^{3/2}}$$ 2 $$\frac{\sqrt{hG}}{c^{5/2}}$$ 3 $$\frac{\sqrt{hG}}{G}$$ 4 $$\frac{\sqrt{Gc}}{h^{3/2}}$$
Subtopic: Â Dimensions |
Â 70%
From NCERT
NEET - 2016
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NEET 2023 - Target Batch - Aryan Raj Singh
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