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

Moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is 'I'. The ratio of moment of inertia about a parallel axis tangential to its rim to passing through a point midway between the centre and the rim is

A
$2: 1$
B
$3: 1$
C
$4:1$
D
$6: 1$
2
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two cars start from a point at the same time in a straight line and their positions are represented by $x_1(t)=a t+b t^2$ and $x_2(t)=F t-t^2$. At what time do the cars have the same velocity?

A
$\frac{a+F}{2(b-1)}$
B
$\frac{a-F}{1+b}$
C
$\frac{a+F}{2(1+b)}$
D
$\frac{F-a}{2(1+b)}$
3
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Magnetic field at the centre of a circular loop of area ' $A$ ' is ' $B$ '. The magnetic moment of the loop will be

A
$\frac{\mathrm{BA}^2}{\mu_0 \pi}$
B
$\frac{2 \mathrm{BA}^{3 / 2}}{\mu_0 \pi}$
C
$\frac{\mathrm{BA}^{1 / 2}}{\mu_0 \pi^{1 / 2}}$
D
$\frac{2 \mathrm{BA}^{3 / 2}}{\mu_0 \pi^{1 / 2}}$
4
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A wire of length ' $L$ ' and linear density ' $m$ ' is stretched between two rigid supports with tension ' $T$ '. It is observed that wire resonates in the $\mathrm{P}^{\text {th }}$ harmonic at a frequency of 320 Hz and resonates again at next higher frequency of 400 Hz . The value of ' $p$ ' is

A
2
B
4
C
8
D
10
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