- 1(current)
Q. No.A physical quantity of the dimensions of length that can be formed out of \(c, G,~\text{and}~\dfrac{e^2}{4\pi\varepsilon_0}\)is:
(\(c\) is the velocity of light, \(G\) is the universal constant of gravitation and \(e\) is charge)
| 1. | \(c^2\left[G \dfrac{e^2}{4 \pi \varepsilon_0}\right]^{\dfrac{1}{2}}\) | 2. | \(\dfrac{1}{c^2}\left[\dfrac{e^2}{4 G \pi \varepsilon_0}\right]^{\dfrac{1}{2}}\) |
| 3. | \(\dfrac{1}{c} G \dfrac{e^2}{4 \pi \varepsilon_0}\) | 4. | \(\dfrac{1}{c^2}\left[G \dfrac{e^2}{4 \pi \varepsilon_0}\right]^{\dfrac{1}{2}}\) |
Subtopic: Â Dimensions |
 56%
Level 3: 35%-60%
NEET - 2017
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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. | \(\dfrac{\sqrt{hG}}{c^{3/2}}\) | 2. | \(\dfrac{\sqrt{hG}}{c^{5/2}}\) |
| 3. | \(\dfrac{\sqrt{hG}}{G}\) | 4. | \(\dfrac{\sqrt{Gc}}{h^{3/2}}\) |
Subtopic: Â Dimensions |
 70%
Level 2: 60%+
NEET - 2016
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- 1(current)
Q. No.
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