1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A uniformly charged semicircular arc of radius '$$r$$' has linear charge density $$(\lambda)$$, is the electric field at its centre? ( $$\in_0=$$ permittivity of free space)

A
$$\frac{\lambda}{4 \epsilon_0 r}$$
B
$$\frac{2 \pi \epsilon_0}{\lambda}$$
C
$$\frac{\lambda}{4 \epsilon_0}$$
D
$$\frac{2 \epsilon_0}{\lambda}$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The P.E. 'U' of a moving particle of mass 'm' varies with 'x'-axis as shown in figure. The deBroglie wavelength or the particle in the regions $$0 \leq x \leq 1$$ and $$x > 1$$ are $$\lambda_1$$ and $$\lambda_2$$ respectively. II the total energy of the particle is '$$\mathrm{nE}$$', then the ratio $$\lambda_1 / \lambda_2$$ is

MHT CET 2021 20th September Evening Shift Physics - Atoms and Nuclei Question 29 English

A
$$\sqrt{\frac{n^2}{n-1}}$$
B
$$\sqrt{\frac{n-1}{n}}$$
C
$$\sqrt{\frac{\mathrm{n}}{\mathrm{n}-1}}$$
D
$$\sqrt{\frac{\mathrm{n}(\mathrm{n}-1)}{\mathrm{n}}}$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

An inductive coil has a resistance of $$100 ~\Omega$$. When an a.c. signal of frequency $$1000 \mathrm{~Hz}$$ is applied to the coil the voltage leads the current by $$45^{\circ}$$. The inductance of the coil is $$\left(\tan 45^{\circ}=1\right.$$)

A
$$\frac{0.25}{2 \pi} \mathrm{H}$$
B
$$\frac{0.05}{\pi} \mathrm{H}$$
C
$$\frac{0.25}{\pi} \mathrm{H}$$
D
$$\frac{0.5}{\pi} \mathrm{H}$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The ratio of radii of gyration of a circular ring and circular disc of the same mass and radius, about an axis passing through their centres and perpendicular to their planes is

A
$$1:\sqrt2$$
B
$$2:1$$
C
$$\sqrt2:1$$
D
$$3:2$$
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