MCQ
An example of an equipotential surface in earth is:
  • A
    A line passing through the centre of the earth connecting two points along the diameter.
  • B
    A plane that passes through the circular section of the hemisphere of the earth.
  • A spherical surface at a distance of 1km from the surface of the earth with its centre at centre of earth.
  • D
    A plane on the surface of the earth, which is a tangent to the earth.

Answer

Correct option: C.
A spherical surface at a distance of 1km from the surface of the earth with its centre at centre of earth.
The potential is seen to be a constant on a sphere at all points.

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A free hydrogen atom after absorbing a photon of wavelength $\lambda_{ a }$ gets excited from the state $n =1$ to the state $n =4$. Immediately after that the electron jumps to $n=m$ state by emitting a photon of wavelength $\lambda_{\text {. }}$. Let the change in momentum of atom due to the absorption and the emission are $\Delta p_2$, and $\Delta p_\theta$, respectively. If $\lambda_2 / \lambda_0=\frac{1}{5}$. Which of the option(s) is/are correct ?

[Use $hc =1242 eV nm ; 1 nm =10^{-9} m , h$ and $c$ are Planck's constant and speed of light, respectively]

$(1)$ $\lambda_0=418 nm$

$(2)$ The ratio of kinetic energy of the electron in the state $n = m$ to the state $n =1$ is $\frac{1}{4}$

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