1
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
$\dfrac{1}{\epsilon_0}\,\sigma^2 R$
2
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
Two equal positive charges each of value 'q' are placed at points A and B, where $AB = 3x$. A third charge $-3q$ is placed at point C at a distance $x$ from A on AB. The potential energy of the system is nearly ($\epsilon_0$ = permittivity of free space)
A
$\dfrac{q^2}{4\pi\epsilon_0 x}$
B
$\dfrac{-2q^2}{4\pi\epsilon_0 x}$
C
$\dfrac{3q^2}{4\pi\epsilon_0 x}$
D
$\dfrac{-4q^2}{4\pi\epsilon_0 x}$
3
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
A particle of mass 'm' and charge 'q', initially at rest, is accelerated by a uniform electric field 'E' through a distance 'D' and is then allowed to approach a fixed static charge 'Q' of the same sign. The distance of the closest approach of the charge q is
[ $\epsilon_0$ = permittivity of free space ]
A
$Q / 4\pi\epsilon_0 D$
B
$Q / 4\pi\epsilon_0 ED$
C
$Q / 2\pi\epsilon_0 D^2$
D
$Q / 4\pi\epsilon_0 E$
4
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
'$n$' small spherical drops of the same size which are charged to 'V' volt each coalesce to form a single big drop. The potential of a big drop is
A
$nV$
B
$\dfrac{V}{n}$
C
$\left(n^{\frac{1}{3}}\right)V$
D
$\left(n^{\frac{2}{3}}\right)V$

MHT CET Subjects

Browse all chapters by subject