1
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

One hundred identical coins, each with probability p , of showing up heads are tossed once. If $0<\mathrm{p}<1$ and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of $p$ is

A
$\frac{1}{2}$
B
$\frac{49}{101}$
C
$\frac{50}{101}$
D
$\frac{51}{101}$
2
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

An electric dipole will have minimum potential energy when it subtends an angle

$$\left[\begin{array}{l} \cos 0^{\circ}=1 \\ \sin 0^{\circ}=0 \end{array}\right]\left[\begin{array}{l} \cos 90^{\circ}=0 \\ \cos \pi=-1 \end{array}\right]$$

A
$\pi$ with direction of field.
B
$\frac{\pi}{2}$ with direction of field.
C
$\frac{3 \pi}{2}$ with direction of field.
D
zero with direction of field.
3
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle is performing S.H.M. about its mean position with an amplitude ' $a$ ' and periodic time ' $T$ '. The speed of the particle when its displacement from mean position is $\frac{a}{3}$ will be

A
$\frac{2 \pi \mathrm{a}}{\mathrm{T}}$
B
$\frac{4 \sqrt{2} \pi \mathrm{a}}{3 \mathrm{~T}}$
C
$\frac{4 \pi^2 a}{3 \mathrm{~T}}$
D
$\frac{\sqrt{3} \pi^2 a}{2 \mathrm{~T}}$
4
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

In case of photoelectric effect, the graph of measured stopping potential $\left(\mathrm{V}_0\right)$ against frequency ' $v$ ' of incident light is a straight line. The slope of this line multiplied by the charge of electron (e) gives

A
the work function of the metal.
B
the Planck's constant.
C
the maximum kinetic energy of the ejected electrons.
D
the threshold frequency for photoejection from the metal.
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