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
MCQ (Single Correct Answer)
+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
MCQ (Single Correct Answer)
+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
MCQ (Single Correct Answer)
+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 :
