1
JEE Main 2022 (Online) 28th July Morning Shift
+4
-1

As shown in the figure, after passing through the medium 1 . The speed of light $$v_{2}$$ in medium 2 will be :

$$\left(\right.$$ Given $$\mathrm{c}=3 \times 10^{8} \mathrm{~ms}^{-1}$$ )

A
$$1.0 \times 10^{8} \mathrm{~ms}^{-1}$$
B
$$0.5 \times 10^{8} \mathrm{~ms}^{-1}$$
C
$$1.5 \times 10^{8} \mathrm{~ms}^{-1}$$
D
$$3.0 \times 10^{8} \mathrm{~ms}^{-1}$$
2
JEE Main 2022 (Online) 28th July Morning Shift
+4
-1

In normal adujstment, for a refracting telescope, the distance between objective and eye piece is $$30 \mathrm{~cm}$$. The focal length of the objective, when the angular magnification of the telescope is 2 , will be :

A
20 cm
B
30 cm
C
10 cm
D
15 cm
3
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1

A microscope was initially placed in air (refractive index 1). It is then immersed in oil (refractive index 2). For a light whose wavelength in air is $$\lambda$$, calculate the change of microscope's resolving power due to oil and choose the correct option.

A
Resolving power will be $$\frac{1}{4}$$ in the oil than it was in the air.
B
Resolving power will be twice in the oil than it was in the air.
C
Resolving power will be four times in the oil than it was in the air.
D
Resolving power will be $$\frac{1}{2}$$ in the oil than it was in the air.
4
JEE Main 2022 (Online) 26th July Evening Shift
+4
-1

Light travels in two media $$M_{1}$$ and $$M_{2}$$ with speeds $$1.5 \times 10^{8} \mathrm{~ms}^{-1}$$ and $$2.0 \times 10^{8} \mathrm{~ms}^{-1}$$ respectively. The critical angle between them is :

A
$$\tan ^{-1}\left(\frac{3}{\sqrt{7}}\right)$$
B
$$\tan ^{-1}\left(\frac{2}{3}\right)$$
C
$$\cos ^{-1}\left(\frac{3}{4}\right)$$
D
$$\sin ^{-1}\left(\frac{2}{3}\right)$$
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