JEE Main 2024 (Online) 9th April Evening Shift | Units & Measurements Question 57 | Physics

The de-Broglie wavelength associated with a particle of mass $$m$$ and energy $$E$$ is $$h / \sqrt{2 m E}$$. The dimensional formula for Planck's constant is :

$$\left[\mathrm{M}^2 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$$

$$\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]$$

$$\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]$$

$$\left[\mathrm{MLT}^{-2}\right]$$

JEE Main 2024 (Online) 9th April Morning Shift

MCQ (Single Correct Answer)

-1

The dimensional formula of latent heat is :

$$\left[\mathrm{M}^{\mathrm{0}} \mathrm{LT}^{-2}\right]$$

$$\left[\mathrm{MLT}^{-2}\right]$$

$$\left[\mathrm{M}^0 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$$

$$\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]$$

JEE Main 2024 (Online) 9th April Morning Shift

MCQ (Single Correct Answer)

-1

One main scale division of a vernier caliper is equal to $$\mathrm{m}$$ units. If $$\mathrm{n}^{\text {th }}$$ division of main scale coincides with $$(n+1)^{\text {th }}$$ division of vernier scale, the least count of the vernier caliper is :

$$\frac{1}{(\mathrm{n}+1)}$$

$$\frac{m}{(n+1)}$$

$$\frac{n}{(n+1)}$$

$$\frac{\mathrm{m}}{\mathrm{n}(\mathrm{n}+1)}$$

JEE Main 2024 (Online) 8th April Evening Shift

MCQ (Single Correct Answer)

-1

If $$\epsilon_{\mathrm{o}}$$ is the permittivity of free space and $$\mathrm{E}$$ is the electric field, then $$\epsilon_{\mathrm{o}} \mathrm{E}^2$$ has the dimensions :

$$[\mathrm{M} \mathrm{L}^{-1} \mathrm{~T}^{-2}]$$

$$[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-2}]$$

$$[\mathrm{M}^{\mathrm{0}} \mathrm{L}^{-2} \mathrm{TA}]$$

$$[\mathrm{M}^{-1} \mathrm{~L}^{-3} \mathrm{~T}^4 \mathrm{~A}^2]$$

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