1
JEE Main 2022 (Online) 30th June Morning Shift
Numerical
+4
-1
Change Language

The probability distribution of X is :

X 0 1 2 3
P(X) $${{1 - d} \over 4}$$ $${{1 + 2d} \over 4}$$ $${{1 - 4d} \over 4}$$ $${{1 + 3d} \over 4}$$

For the minimum possible value of d, sixty times the mean of X is equal to _______________.

Your input ____
2
JEE Main 2022 (Online) 30th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

At t = 0, truck, starting from rest, moves in the positive x-direction at uniform acceleration of 5 ms$$-$$2. At t = 20 s, a ball is released from the top of the truck. The ball strikes the ground in 1 s after the release. The velocity of the ball, when it strikes the ground, will be :

(Given g = 10 ms$$-$$2)

A
$$100\widehat i - 10\widehat j$$
B
$$10\widehat i - 100\widehat j$$
C
$$100\widehat i$$
D
$$ - 10\widehat j$$
3
JEE Main 2022 (Online) 30th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If n main scale divisions coincide with (n + 1) vernier scale divisions. The least count of vernier callipers, when each centimetre on the main scale is divided into five equal parts, will be :

A
$${2 \over {n + 1}}$$ mm
B
$${5 \over {n + 1}}$$ mm
C
$${1 \over {2n}}$$ mm
D
$${1 \over {5n}}$$ mm
4
JEE Main 2022 (Online) 30th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The radii of two planets A and B are in the ratio 2 : 3. Their densities are 3$$\rho$$ and 5$$\rho$$ respectively. The ratio of their acceleration due to gravity is :

A
9 : 4
B
9 : 8
C
9 : 10
D
2 : 5
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