ANS:B - Only assumption II is implicit

Explanation: That someone has earned a lot is no reason to share the profit margin with the customers. So, I is not implicit. Clearly, the offers have been announced to attract more customers and boost up the sale. So, II is implicit.

ANS:A - 1, 3, 5

No answer description is available. Let's discuss.

ANS:D - original velocity in the opposite direction

In Question Given that opposite direction i.e head on Collision.

Let m1, u1 for 1st body moving towards second body and
m2,u2 for a second body moving towards 1st body

Therefore after colliding final velocities are v1 & v2 respectively
As per the law of conservation:

Initial change in momentum = Final change in momentum
m1u1-m2u2 = m2v2-m1v1.
2m2u1-m2u2 = m2v2-2m2v1 (given m1=2m2).
m2(2u1-u2) = m2(v2-2v1).
2u1-2u1 = v2-2v1 (given u2=2u1).
0 = v2-2v1.
v1/v2 = 1/2 ie equal to ratio of original velocity.

So, Option D is correct. The mass of 1st ball (m1)=2M, mass of 2nd ball (m2)= M
initial velocity of 1st ball (u1)= U, initial velocity of 2nd ball (u2)= -2U { -ve sign because of opp direction.

The coefficient of restitution=1/2,
let, v1 = final velocity of 1st ball, v2= final velocity of the 2nd ball
from the law of conservation of momentum,
m1u1+m2u2=m1v1+m2v2.
2MU+M(-2U)=2Mv1+Mv2.
0=2Mv1+Mv2.
v2=-2v1.

From the law of collision of elastic bodies that;
(v2-v1)=e(u1-u2).
On solving v1=-1/2 U.

So negative sign indicates that the direction of v1 is opposite to that of U thus 1st ball will move back with 1/2 of its original velocity.

ANS:D - Reserved Memory

No answer description is available.

ANS:B - cake

In a rotary drum vacuum filter, the controlling resistance is typically the cake resistance.

Explanation:

• Rotary Drum Vacuum Filter: This type of filter consists of a rotating drum covered with a filter medium. The drum is partially submerged in the slurry to be filtered. Vacuum is applied inside the drum, which draws the filtrate through the filter medium, leaving behind a filter cake on the drum surface.
• Controlling Resistance:
  • Cake Resistance: The filter cake that forms on the surface of the drum is often the main resistance to filtration. This is because as the cake thickness increases, it restricts the flow of filtrate through the filter medium. The resistance offered by the cake depends on factors such as its thickness, porosity, and compressibility.
  • Filter Medium Resistance: While the filter medium (cloth or mesh) also offers resistance to flow, its impact is usually less significant compared to the cake resistance.
  • Piping Resistance: Refers to the resistance encountered in the piping system leading to and from the filter. This resistance is typically low compared to the cake and filter medium resistances.
• Significance:
  • To optimize the filtration process in a rotary drum vacuum filter, efforts are often focused on managing the characteristics of the filter cake, such as thickness and porosity, to minimize resistance and maximize filtration efficiency.
  • The filter medium is designed to provide adequate support and filtration capability but is secondary to the cake in terms of resistance.

ANS:B - India

India won the gold medal in the men's cricket T20 competition at the 2023 Asian Games, despite the final against Afghanistan being postponed due to rain. India was awarded the gold medal based on its higher T20 rankings.

ANS:A - Canada

Winter storm swept through the United States and Canada; Over 1.5 million people were without power.

ANS:B - Japan

Veer Guardian 2023 Exercise is a maiden bilateral air exercise set to be held between India and Japan.

ANS:C - India

Start-up 20 Engagement Group to be set up under India's G20 Presidency.

ANS:C - Saudi Arabia

Suhel Ajaz Khan was named India's new ambassador to Saudi Arabia.