1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A disc of radius $$R$$ and thickness $$\frac{R}{6}$$ has moment of inertia I about an axis passing through its centre and perpendicular to its plane. Dise is melted and recast into a solid sphere. The moment of inertia of a sphere about its diameter is

A
$$\frac{\mathrm{I}}{5}$$
B
$$\frac{\mathrm{I}}{6}$$
C
$$\frac{\mathrm{I}}{32}$$
D
$$\frac{\mathrm{I}}{64}$$
2
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A charge '$$q$$' moves with velocity '$$v$$' through electric (E) as well as magnetic field (B). Then the force acting on it is

A
$$\mathrm{q}(\overrightarrow{\mathrm{v}} \times \overrightarrow{\mathrm{B}})$$
B
$$\mathrm{q}(\overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{v}})$$
C
$$\mathrm{q}(\overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{v}})$$
D
$$\overrightarrow{\mathrm{qE}}+\mathrm{q}(\overrightarrow{\mathrm{v}} \times \overrightarrow{\mathrm{B}})$$
3
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A parallel combination of two capacitors of capacities '$$2 ~\mathrm{C}$$' and '$$\mathrm{C}$$' is connected across $$5 \mathrm{~V}$$ battery. When they are fully charged, the charges and energies stored in them be '$$\mathrm{Q}_1$$', '$$Q_2$$' and '$$E_1$$', '$$E_2$$' respectively. Then $$\frac{E_1-E_2}{Q_1-Q_2}$$ in $$\mathrm{J} / \mathrm{C}$$ is (capacity is in Farad, charge in Coulomb and energy in J)

A
$$\frac{5}{4}$$
B
$$\frac{4}{5}$$
C
$$\frac{5}{2}$$
D
$$\frac{2}{5}$$
4
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Consider the following statements $$\mathrm{A}$$ and $$\mathrm{B}$$. Identify the correct choice in the given answers.

A. In an inelastic collision, there is no loss in kinetic energy during collision.

B. During a collision, the linear momentum of the entire system of particles is conserved if there is no external force acting on the system.

A
Both $$\mathrm{A}$$ and $$\mathrm{B}$$ are wrong.
B
Both A and B are correct.
C
$$\mathrm{A}$$ is wrong and $$\mathrm{B}$$ is correct.
D
A is correct and B is wrong.
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