Explanation

 The mass of an electron is a standard physical constant in physics.

- Its accepted value is:

  mₑ = 9.109 × 10⁻³¹ kilograms

Explanation

Given: sinθ + cosθ = 1

We need to find: sinθ - cosθ

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Solution:

Square both sides of the given equation:  

(sinθ + cosθ)² = 1²  

sin²θ + 2 sinθ cosθ + cos²θ = 1

Since sin²θ + cos²θ = 1, substitute:  

1 + 2 sinθ cosθ = 1  

2 sinθ cosθ = 0  

sinθ cosθ = 0

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Now, square the expression we want:  

(sinθ - cosθ)² = sin²θ - 2 sinθ cosθ + cos²θ  

= 1 - 2 sinθ cosθ  

= 1 - 0  

= 1

So, (sinθ - cosθ)² = 1  

=> sinθ - cosθ = ±1

Explanation

- 36 = 6²  

- 16 = 4²  

- 64 = 8²  

- 49 = 7²  

49 is the different number because it’s the only odd number, while the rest are even

Explanation

If A = 1, B = 2, then G = 7 (since G is the 7th letter of the English alphabet).

Conversion Table

A=1

B=2

C=3

D=4

E=5

F =6

G=7

H=8

I =9

J = 10

K = 11

L = 12

M = 13

N = 14

O = 15

P = 16

Q = 17

R = 18

S = 19

T = 20

U = 21

V = 22

W = 23

X = 24

Y = 25

Z = 26

Explanation

If smoke is coming from the kitchen, the most likely reason is Fire, specifically a fire from burning food or overheating cooking oil.

While

Less likely, an electrical fire from a faulty appliance, 

A clogged and dirty extractor fan causing smoke to build up, or even an appliance overheating, are also possible causes. 

Explanation

 The centripetal force keeps an object moving in a circular path.  

- Its formula is F = mv² / r, where:  

  - m = mass of the object  

  - v = velocity  

  - r = radius of the circular path  

- It always acts towards the center of the circle.  

- Example: A stone tied to a string and rotated in a circle — the string provides centripetal force.

Explanation

Pakistan won the Kabaddi World Cup 2020 after beating arch-rival India by 43 to 41 points in a nail-biting final match at Punjab Stadium in Lahore.

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VU CBT FIA SI ASI PAPER 13-12-2021

Explanation

The magnitude of i · (j × k) is:

This is a scalar triple product, and for standard unit vectors:

i · (j × k) = 1

Explanation

• Inertia is the tendency of an object to resist changes in its motion.
• As described by Newton's First Law of Motion (also known as the Law of Inertia).
• This means that an object at rest will remain at rest, and an object in motion will continue moving in a straight line, unless acted upon by an external force.

Explanation

The distance traveled by a free-falling object can be calculated using the equation:

s = (1/2)gt²

where s is the distance, g is the acceleration due to gravity (approximately 9.8 m/s²), and t is the time.

Given t = 5 seconds:

s = (1/2) × 9.8 × 5²

s = (1/2) × 9.8 × 25

s = 122.5 m