1
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

Earth is assumed to be a charged conducting sphere having volume V and surface area A . The capacitance of the earth in free space is ( $\varepsilon_0=$ permittivity of free space)

A
$\frac{2 \pi \varepsilon_0 V}{A}$
B
$\frac{8 \pi \varepsilon_0 \mathrm{~V}}{\mathrm{~A}}$
C
$\frac{12 \pi \varepsilon_0 \mathrm{~V}}{\mathrm{~A}}$
D
$\frac{4 \pi \varepsilon_0 V}{A}$
2
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle performing linear S.H.M. has period 8 seconds. At time $\mathrm{t}=0$, it is in the mean position. The ratio of the distances travelled by the particle in the $1^{\text {st }}$ and $2^{\text {nd }}$ second is $\left(\cos 45^{\circ}=1 / \sqrt{2}\right)$

A
$1:(\sqrt{2}-1)$
B
$1: 2$
C
$2: 1$
D
$1:(\sqrt{2}+1)$
3
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

The energy needed for breaking a liquid drop of radius ' $R$ ' into ' $n$ ' droplets each of radius ' $r$ ' is $[\mathrm{T}=$ surface tension of the liquid]

A
$\quad 4 \pi \mathrm{TR}^2\left[\frac{\mathrm{R}}{\mathrm{r}}+1\right]$
B
$\quad 4 \pi \mathrm{TR}^2\left[\frac{\mathrm{R}}{\mathrm{r}}-1\right]$
C
$\quad 4 \pi \mathrm{TR}^2\left[\frac{\mathrm{r}}{\mathrm{R}}+1\right]$
D
$\quad 4 \pi \operatorname{Tr}^2\left[\frac{\mathrm{R}}{\mathrm{r}}-1\right]$
4
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

In a pipe closed at one end, air column is vibrating in its second overtone. The column has

A
three nodes and three antinodes.
B
three nodes and four antinodes.
C
two nodes and three antinodes.
D
four nodes and three antinodes.
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