1
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1
A block of $\sqrt{3} \mathrm{~kg}$ is attached to a string whose other end is attached to the wall. An unknown force $\mathrm{F}$ is applied so that the string makes an angle of $30^{\circ}$ with the wall. The tension $\mathrm{T}$ is: (Given $\mathrm{g}=10 \mathrm{~ms}^{-2}$ )

A
15 N
B
10 N
C
25 N
D
20 N
2
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1

A force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force ceases and then body describes 50 m in the next 10 s. The value of force will be:

A
40 N
B
20 N
C
5 N
D
10 N
3
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1

The time taken by an object to slide down 45$$^\circ$$ rough inclined plane is n times as it takes to slide down a perfectly smooth 45$$^\circ$$ incline plane. The coefficient of kinetic friction between the object and the incline plane is :

A
$$1 - {1 \over {{n^2}}}$$
B
$$1 + {1 \over {{n^2}}}$$
C
$$\sqrt {1 - {1 \over {{n^2}}}}$$
D
$$\sqrt {{1 \over {1 - {n^2}}}}$$
4
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

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
$$\frac{2 \sqrt{3}+1}{2}$$
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