TCS Digital Advanced (HOTS) Questions and Answers

1. An electrical circuit has:

• A power source
• A resistor R and

Three parallelly connected resistors each of value 3R. All these connected in series. If the current flowing through the circuit is five amperes, what will be its value, if R is doubled and each of 3R is halved?

2. The figure below depicts the damage done to aircraft that had returned their base from missions in World War 2. The bullet holes per square foot in the Tall, Wingtips, Fuselage, and Engine are 1.1.1.5, 1.8, and 0.2 respectively. Where does the air force need to primarily reinforce the aircraft to minimize losses to enemy fire and to maximize their return home?

3. The muzzle velocity of a bullet of 5.56 INSAS rifle (Indian version of AK47) is 882 meters/sec. A sergeant holds this rifle facing the sky and shoots a bullet What's the bullet's maximum reachable altitude? Assume g = 9.8 m/sec/sec, Write your answer as numeral without any other character.

4. Using the principle of moments, one can weigh any item using a single weighing stone. In one such experiment, a food packet was kept hanging at a distance of 15 cm to the left of a rod’s center. It was countered by a 50 gm weighing stone, kept at a distance of 45cm to the right of the center. What’s the weight of a food packet?

Write your answer as a numeral without any unit, space, or any other character anywhere.

5.

1. Dimensional analysis plays an important and useful role in physics. Mass is denoted by M. length by L and time by T. So, the momentum of a particle, which is a product of its mass and velocity has a dimension of MLT(velocity is distance/time which is length/time). In a given physical education, the left-hand side and right-hand side must have the same dimensions.

• Kinematic viscosity (k) of a fluid is a measure of its resistive flow under gravity's influence. It's given by the equation.
• k=n/d where n is dynamic viscosity: its dimension is Force Time / Area d is density (mass/volume)
• What's the dimension of kinematic viscosity?

6. If f(x) = x^{2}. what is the shape of f(x)?