1
NEET 2023
+4
-1

A bullet from a gun is fired on a rectangular wooden block with velocity $$u$$. When bullet travels $$24 \mathrm{~cm}$$ through the block along its length horizontally, velocity of bullet becomes $$\frac{u}{3}$$. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is :

A
$$24 \mathrm{~cm}$$
B
$$28 \mathrm{~cm}$$
C
$$30 \mathrm{~cm}$$
D
$$27 \mathrm{~cm}$$
2
NEET 2022 Phase 2
+4
-1

If $$\overrightarrow F = 2\widehat i + \widehat j - \widehat k$$ and $$\overrightarrow r = 3\widehat i + 2\widehat j - 2\widehat k$$, then the scalar and vector products of $$\overrightarrow F$$ and $$\overrightarrow r$$ have the magnitudes respectively as

A
10, 2
B
5, $$\sqrt 3$$
C
4, $$\sqrt 5$$
D
10, $$\sqrt 2$$
3
NEET 2022 Phase 2
+4
-1

In the diagram shown, the normal reaction force between 2 kg and 1 kg is (Consider the surface, to be smooth) :

(Given g = 10 ms$$-$$2) A
10 N
B
25 N
C
39 N
D
6 N
4
NEET 2020 Phase 1
+4
-1
Two bodies of mass 4 kg and 6 kg are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity (g) is : A
g/2
B
g/5
C
g/10
D
g
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