1
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
The equation of a progressive wave is given by $y = 6\cos(100t - 4x)$ where $y$ is in $\mu\text{m}$, $x$ in metre and $t$ in second. The ratio of the maximum particle velocity to the velocity of wave is
A
$1.5 \times 10^{-5}$
B
$2.0 \times 10^{-6}$
C
$2.4 \times 10^{-5}$
D
$2.8 \times 10^{-6}$
2
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
A body sends a wave $150$ mm long through medium P and $0.30$ m long in medium Q. If velocity of the wave in medium P is $80\,\text{cm s}^{-1}$, the velocity of wave in medium Q is
A
$4.0\,\text{m s}^{-1}$
B
$3.2\,\text{m s}^{-1}$
C
$2.0\,\text{m s}^{-1}$
D
$1.6\,\text{m s}^{-1}$
3
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
$\dfrac{1}{\epsilon_0}\,\sigma^2 R$
4
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
$\dfrac{-4q^2}{4\pi\epsilon_0 x}$

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