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Units and Measurements question

2018 · 15 Apr · Shift 2 · Q66
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Units and Measurements question

2018 · 15 Apr · Shift 2 · Q66

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1
The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants G, h and c. Which of the following correctly gives the Planck length ?
  1. A
    G ℏ\hbarℏ 2 c3
  2. B
    G2 ℏ\hbarℏ c
  3. C
    G12ℏ2c{G^{\frac{1}{2}}}{\hbar ^2}cG21​ℏ2c
  4. D
    (Gℏc3)12{\left( {{{G\hbar } \over {{c^3}}}} \right)^{\frac{1}{2}}}(c3Gℏ​)21​
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