Question

Column-I	Column-II
(a) Normal reaction	(p) 12 SI unit
(b) Force of friction	(q) 20 SI unit
(c) Acceleration of block	(r) 2 SI unit

In the diagram shown in figure, match the following $(g=10m/s^2)$

• A. (a - p), (b - r), (c - q)
• B. (a - q), (b - p), (c - r)
• C. (a - r), (b - p), (c - q)
• D. none of these

Answer 1

The correct option is B (a - q), (b - p), (c - r)

$N=mg20\sqrt{2}sin{45}^o=20N$
${\mu }_{S}N=16N$ and ${\mu }_{k}N=12N$
$\because 20\sqrt{2}cos{45}^o>{\mu }_{S}N$
$\Rightarrow$ block will move and kinetic friction will act
$a=\frac{20\sqrt{2}cos{45}^o-{\mu }_{k}N}{m}=\frac{20-12}{4}=2m/s^2$