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TS EAMCET · Physics · Units and Dimensions

Some physical constants are given in List-I and their dimensional formulae are given in List-II. Match the following
List-I
(1) Planck's constant
(2) Gravitational constant
(3) Bulk modulus
(4) Coefficient of viscosity
List-II
(i) \(\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]\)
(ii) \(\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]\)
(iii) \(\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]\)
(iv) \(\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]\)
The correct answer is

  1. A (iv) (iii) (ii) (i)
  2. B (ii) \(\begin{array}{ll}\text { (i) } & \text { (iii) }\end{array}{(iv)}\)
  3. C (iii) \(\quad\) (ii) \(\quad\) (i) \(\quad\) (iv)
  4. D (iii) (iv) (i) (ii)
Verified Solution

Answer & Solution

Correct Answer

(D) (iii) (iv) (i) (ii)

Step-by-step Solution

Detailed explanation

(1) Planck's constant \(\begin{aligned} {[h] } & =\left[\frac{E}{v}\right] \\ & =\frac{\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]}{\left[\mathrm{T}^{-1}\right]}=\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]\end{aligned}\) (2) Gravitational constant…
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