MHT CET 2025 19th April Evening Shift | Electrostatics Question 7 | Physics

The electric potential ' V ' is given as a function of distance ' $x$ ' (metre) by $V=\left(4 x^2+8 x-3\right) V$. The value of electric field at $x=0.5 \mathrm{~m}$, in $\mathrm{V} / \mathrm{m}$ is

-16

-12

+12

MHT CET 2025 19th April Evening Shift

MCQ (Single Correct Answer)

-0

A uniformly charged conducting sphere of diameter 3.5 cm has a surface charge density of $20 \mu \mathrm{Cm}^{-2}$. The total electric flux leaving the surface of the sphere is nearly [permittivity of free space, $\varepsilon_0=8.85 \times 10^{-12} \mathrm{SI}$ unit]

$57 \times 10^2 \mathrm{~Wb}$

$70 \times 10^2 \mathrm{~Wb}$

$87 \times 10^2 \mathrm{~Wb}$

$35 \times 10^3 \mathrm{~Wb}$

MHT CET 2025 19th April Evening Shift

MCQ (Single Correct Answer)

-0

A charged particle of mass ' $m$ ' and charge ' $q$ ' is at rest. It is acce:lerated in a uniform electric field of intensity ' $E$ ' : for time ' $t$ '. The kinetic energy of the particles after time $t$ is

$\frac{E q m}{2 t}$

$\frac{E^2 q^2 t^2}{2 m}$

$\frac{2 \mathrm{E}^2 \mathrm{t}^2}{\mathrm{mq}^2}$

$\frac{\mathrm{Eqt}}{\mathrm{m}}$

MHT CET 2025 19th April Morning Shift

MCQ (Single Correct Answer)

-0

Let ' $W$ ' joule be the work done to move an electric charge ' $q$ ' coulomb from a place $A$, where potential is -5 volt to another place $B$ where potential is ' $V$ ' volt. The value of ' $V$ ' is

$W q-5$

$\frac{\mathrm{q}}{\mathrm{w}}+5$

$W-\frac{5}{q}$

$\frac{w}{q}-5$

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