1
JEE Main 2023 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A stone is projected at angle $$30^{\circ}$$ to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be -

A
1 : 4
B
1 : 2
C
4 : 3
D
4 : 1
2
JEE Main 2023 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A block of mass $m$ slides down the plane inclined at angle $$30^{\circ}$$ with an acceleration $$\frac{g}{4}$$. The value of coefficient of kinetic friction will be:

A
$$\frac{2 \sqrt{3}-1}{2}$$
B
$$\frac{\sqrt{3}}{2}$$
C
$$\frac{1}{2 \sqrt{3}}$$
D
$$\frac{2 \sqrt{3}+1}{2}$$
3
JEE Main 2023 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Match List I with List II :

List I (Physical Quantity) List II (Dimensional Formula)
A. Pressure gradient I. $$\left[\mathrm{M}^{\circ} \mathrm{L}^{2} \mathrm{~T}^{-2}\right]$$
B. Energy density II. $$\left[\mathrm{M}^{1} \mathrm{L}^{-1} \mathrm{~T}^{-2}\right]$$
C. Electric Field III. $$\left[\mathrm{M}^{1} \mathrm{L}^{-2} \mathrm{~T}^{-2}\right]$$
D. Latent heat IV. $$\left[\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{-3} \mathrm{~A}^{-1}\right]$$

Choose the correct answer from the options given below:

A
A-III, B-II, C-IV, D-I
B
A-III, B-II, C-I, D-IV
C
A-II, B-III, C-IV, D-I
D
A-II, B-III, C-I, D-IV
4
JEE Main 2023 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34. [take g = 10 ms$$^{-2}$$]

A
3.4 ms$$^{-1}$$
B
13 ms$$^{-1}$$
C
22.4 ms$$^{-1}$$
D
17 ms$$^{-1}$$
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