1
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
Two point charges placed in air separated by distance $R$ exert a force $F$ on each other. Now the space between those charges is filled with dielectric constant $K$. At distance $R_1$ between the charges, the same force is exerted as $F$. Then
A
$R_1 = \sqrt{K}R$
B
$R_1 = R$
C
$R_1 = \dfrac{R}{K}$
D
$R_1 = \dfrac{R}{\sqrt{K}}$
2
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
Four electric charges $+q$ , $+q$ , $-q$ , and $-q$ are placed in order at the corners of a square of side '$2r$'. The electric potential at a point midway between the two negative charges is
A
$\dfrac{1}{4\pi\epsilon_0}\,\dfrac{2q}{r}\left[\dfrac{1}{\sqrt{5}} - 1\right]$
B
$\dfrac{1}{4\pi\epsilon_0}\,\dfrac{q}{r}\left[\dfrac{1}{\sqrt{5}} + 1\right]$
C
$\dfrac{1}{4\pi\epsilon_0}\,\dfrac{2q}{r}\left[1 - \sqrt{5}\right]$
D
$\dfrac{1}{4\pi\epsilon_0}\,\dfrac{q}{r}\left[1 + \sqrt{5}\right]$
3
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
Two point charges $q_1$ and $q_2$ are '$l$' distance apart. If one of the charges is doubled and the distance between them is halved. The magnitude of the force becomes 'n' times, where 'n' is
A
$2$
B
$4$
C
$8$
D
$16$
4
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
An uniformly charged thin spherical shell of radius 'R' has uniform surface charge density '$\sigma$'. It is made of two hemispherical identical shells held together by pressing them with force 'F' as shown. F is proportional to
[$\epsilon_0$ = permittivity of free space]
A
$\dfrac{1}{\epsilon_0}\,\dfrac{\sigma^2}{R^2}$
B
$\dfrac{1}{\epsilon_0}\,\dfrac{\sigma^2}{R}$
C
$\dfrac{1}{\epsilon_0}\,\sigma^2 R^2$
D
$\dfrac{1}{\epsilon_0}\,\sigma^2 R$

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