1
JEE Main 2023 (Online) 13th April Morning Shift
+4
-1 A vessel of depth '$$d$$' is half filled with oil of refractive index $$n_{1}$$ and the other half is filled with water of refractive index $$n_{2}$$. The apparent depth of this vessel when viewed from above will be-

A
$$\frac{2 d\left(n_{1}+n_{2}\right)}{n_{1} n_{2}}$$
B
$$\frac{d\left(n_{1}+n_{2}\right)}{2 n_{1} n_{2}}$$
C
$$\frac{d n_{1} n_{2}}{2\left(n_{1}+n_{2}\right)}$$
D
$$\frac{d n_{1} n_{2}}{\left(n_{1}+n_{2}\right)}$$
2
JEE Main 2023 (Online) 12th April Morning Shift
+4
-1 An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is $$12 \mathrm{~cm}$$. When viewed from the opposite side, the apparent distance of the bubble is observed as $$4 \mathrm{~cm}$$. If the side of the ice cube is $$24 \mathrm{~cm}$$, the refractive index of the ice cube is

A
$$\frac{3}{2}$$
B
$$\frac{4}{3}$$
C
$$\frac{2}{3}$$
D
$$\frac{6}{5}$$
3
JEE Main 2023 (Online) 11th April Evening Shift
+4
-1 When one light ray is reflected from a plane mirror with $$30^{\circ}$$ angle of reflection, the angle of deviation of the ray after reflection is :

A
$$140^{\circ}$$
B
$$130^{\circ}$$
C
$$120^{\circ}$$
D
$$110^{\circ}$$
4
JEE Main 2023 (Online) 11th April Morning Shift
+4
-1 The critical angle for a denser-rarer interface is $$45^{\circ}$$. The speed of light in rarer medium is $$3 \times 10^{8} \mathrm{~m} / \mathrm{s}$$. The speed of light in the denser medium is:

A
$$2 .12 \times 10^{8} \mathrm{~m} / \mathrm{s}$$
B
$$5 \times 10^{7} \mathrm{~m} / \mathrm{s}$$
C
$$\sqrt{2} \times 10^{8} \mathrm{~m} / \mathrm{s}$$
D
$$3.12 \times 10^{7} \mathrm{~m} / \mathrm{s}$$
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