1
JEE Main 2023 (Online) 13th April Morning Shift
Numerical
+4
-1
Change Language

Let $$\alpha$$ be the constant term in the binomial expansion of $$\left(\sqrt{x}-\frac{6}{x^{\frac{3}{2}}}\right)^{n}, n \leq 15$$. If the sum of the coefficients of the remaining terms in the expansion is 649 and the coefficient of $$x^{-n}$$ is $$\lambda \alpha$$, then $$\lambda$$ is equal to _____________.

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2
JEE Main 2023 (Online) 13th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Which graph represents the difference between total energy and potential energy of a particle executing SHM vs it's distance from mean position ?

A
JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 34 English Option 1
B
JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 34 English Option 2
C
JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 34 English Option 3
D
JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 34 English Option 4
3
JEE Main 2023 (Online) 13th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A bullet of $$10 \mathrm{~g}$$ leaves the barrel of gun with a velocity of $$600 \mathrm{~m} / \mathrm{s}$$. If the barrel of gun is $$50 \mathrm{~cm}$$ long and mass of gun is $$3 \mathrm{~kg}$$, then value of impulse supplied to the gun will be :

A
12 Ns
B
3 Ns
C
6 Ns
D
36 Ns
4
JEE Main 2023 (Online) 13th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A planet having mass $$9 \mathrm{Me}$$ and radius $$4 \mathrm{R}_{\mathrm{e}}$$, where $$\mathrm{Me}$$ and $$\mathrm{Re}$$ are mass and radius of earth respectively, has escape velocity in $$\mathrm{km} / \mathrm{s}$$ given by:

(Given escape velocity on earth $$\mathrm{V}_{\mathrm{e}}=11.2 \times 10^{3} \mathrm{~m} / \mathrm{s}$$ )

A
33.6
B
11.2
C
16.8
D
67.2
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