1
JEE Main 2024 (Online) 5th April Morning Shift
Numerical
+4
-1
Change Language

If the constant term in the expansion of $$\left(1+2 x-3 x^3\right)\left(\frac{3}{2} x^2-\frac{1}{3 x}\right)^9$$ is $$\mathrm{p}$$, then $$108 \mathrm{p}$$ is equal to ________.

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2
JEE Main 2024 (Online) 5th April Morning Shift
Numerical
+4
-1
Change Language

The number of distinct real roots of the equation $$|x||x+2|-5|x+1|-1=0$$ is __________.

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3
JEE Main 2024 (Online) 5th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A body of mass $$50 \mathrm{~kg}$$ is lifted to a height of $$20 \mathrm{~m}$$ from the ground in the two different ways as shown in the figures. The ratio of work done against the gravity in both the respective cases, will be :

JEE Main 2024 (Online) 5th April Morning Shift Physics - Work Power & Energy Question 18 English

A
$$2: 1$$
B
$$\sqrt{3}: 2$$
C
$$1: 1$$
D
$$1: 2$$
4
JEE Main 2024 (Online) 5th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If $$\mathrm{G}$$ be the gravitational constant and $$\mathrm{u}$$ be the energy density then which of the following quantity have the dimensions as that of the $$\sqrt{\mathrm{uG}}$$ :

A
Gravitational potential
B
pressure gradient per unit mass
C
Energy per unit mass
D
Force per unit mass
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