1
JEE Main 2023 (Online) 31st January Morning Shift
Numerical
+4
-1
Change Language

If the variance of the frequency distribution

$$x_i$$ 2 3 4 5 6 7 8
Frequency $$f_i$$ 3 6 16 $$\alpha$$ 9 5 6

is 3, then $$\alpha$$ is equal to _____________.

Your input ____
2
JEE Main 2023 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The initial speed of a projectile fired from ground is $$\mathrm{u}$$. At the highest point during its motion, the speed of projectile is $$\frac{\sqrt{3}}{2} u$$. The time of flight of the projectile is :

A
$$\frac{u}{g}$$
B
$$\frac{2u}{g}$$
C
$$\frac{u}{2g}$$
D
$$\frac{\sqrt3u}{g}$$
3
JEE Main 2023 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A bar magnet with a magnetic moment $$5.0 \mathrm{Am}^{2}$$ is placed in parallel position relative to a magnetic field of $$0.4 \mathrm{~T}$$. The amount of required work done in turning the magnet from parallel to antiparallel position relative to the field direction is _____________.

A
zero
B
1 J
C
2 J
D
4 J
4
JEE Main 2023 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following

{Assume negligible air friction}

A
Metal ball will reach the earth's surface earlier than the insulating ball
B
Both will reach the earth's surface simultaneously.
C
Insulating ball will reach the earth's surface earlier than the metal ball
D
Time taken by them to reach the earth's surface will be independent of the properties of their materials
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