1
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water ($$\mu$$ = 4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring water. Up to what height, the tumbler is actually filled?
A
11.7 cm
B
10 cm
C
7.5 cm
D
8.75 cm
2
JEE Main 2021 (Online) 31st August Morning Shift
+4
-1
An object is placed at the focus of concave lens having focal length f. What is the magnification and distance of the image from the optical centre of the lens?
A
1, $$\infty$$
B
Very high, $$\infty$$
C
$${1 \over 2}$$, $${f \over 2}$$
D
$${1 \over 4}$$, $${f \over 4}$$
3
JEE Main 2021 (Online) 31st August Morning Shift
+4
-1
Two plane mirrors M1 and M2 are at right angle to each other shown. A point source 'P' is placed at 'a' and '2a' meter away from M1 and M2 respectively. The shortest distance between the images thus formed is : (Take $$\sqrt 5$$ = 2.3)

A
3a
B
4.6a
C
2.3a
D
2$$\sqrt {10}$$a
4
JEE Main 2021 (Online) 27th August Evening Shift
+4
-1
Curved surfaces of a plano-convex lens of refractive index $$\mu$$1 and a plano-concave lens of refractive index $$\mu$$2 have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the combined lenses.

A
$${1 \over {{\mu _2} - {\mu _1}}}$$
B
$${\mu _1} - {\mu _2}$$
C
$${1 \over {{\mu _1} - {\mu _2}}}$$
D
$${\mu _2} - {\mu _1}$$
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