Answer :-
Resistance of the wire is 0.55 Ω .
Explanation :-
We have :-
→ Length of the wire = 100 m
→ Radius of the wire = 1 mm = 10⁻³ m
→ Resistivity = 1.72 × 10⁻⁸ Ωm
______________________________
Firstly, let's calculate the area of cross section of the wire.
⇒ A = πr²
⇒ A = 3.14 × 10⁻³ × 10⁻³
⇒ A = 3.14 × 10⁻⁶ m²
Now, we know that :-
R = ρl/A
Substituting values, we get :-
⇒ R = [1.72 × 10⁻⁸ × 100]/[3.14 × 10⁻⁶]
⇒ R = [172 × 10⁻⁸]/[3.14 × 10⁻⁶]
⇒ R = [1.72 × 10⁻⁶]/[3.14 × 10⁻⁶]
⇒ R = 1.72/3.14
⇒ R = 0.55 Ω Given:-
Initial velocity ,u = 36km/h = 36×5/18= 10m/s
Final velocity ,v = 54km/h = 54×5/18= 15m/s
Time taken ,t = 2 s
To Find:-
Acceleration ,a
Solution:-
According to the Question
We have to calculate the acceleration of the car .Aw we know that acceleration is defined as the rate of change in velocity.
a = v-u/t
where,
v is the final velocity
a is the acceleration
u is the initial velocity
t is the time taken
Substitute the value we get
a = 15-10/2
a = 5/2
a = 2.5m/s²
Hence, the acceleration of the car is 2.5m/s².
Additional Information !!
Some equation of motion are
• v = u +at
• s = ut +1/2at².
• v² = u² + 2as
Here,
v is the final velocity
u is the initial velocity
a is the acceleration
s is the displacement or Distance
t is the time takenEXPLANATION.
Quadratic equation.
⇒ √3x² - 2√2x - 2√3 = 0.
As we know that,
⇒ D = Discriminant Or b² - 4ac.
⇒ D = (-2√2)² - 4(√3)(-2√3).
⇒ D = 4 x 2 + 4(√3)(2√3).
⇒ D = 8 + 4(6).
⇒ D = 8 + 24.
⇒ D = 32.
⇒ x = - b + √D/2a.
⇒ x = -(-2√2) + √32/(2√3).
⇒ x = 2√2 + 4√2/(2√3).
⇒ x = 6√2/(2√3).
⇒ x = 3√2/(√3). = √6.
⇒ x = - b - √D/2a.
⇒ x = -(-2√2) - √32/(2√3).
⇒ x = 2√2 - 4√2/(2√3).
⇒ x = - 2√2/(2√3).
⇒ x = -√2/√3.
5/363
Step-by-step explanation:
2/11*2/11(-1/3-3/4).
=4/121(-1/3+3/4)
=4/121( -1*4+3*3/12)
=4/121 (-4+9/12)
=4/121(5/12)
=4/121*5/12
=1/121*5/3
=5/363
mark as brainlist
Option a) 15
The number is 15
Step-by-step explanation:
Given:
A number when multiplied by 4 and added by 10 results to the same number multiplied by 5 and 5 subtracted.
To find :
The number
Solution :
Let,
The number = x
According to the Question :
If 10 is added to four times a certain number
The number = x
Four times a certain number = 4x
If 10 is added to four times a certain number = 4x + 10
The result is 5 less than five times the number = 5x - 5
Equation formed → 4x + 10 = 5x - 5
The number = ??
4x + 10 = 5x - 5
4x = 5x - 5 - 10
4x = 5x - 15
4x - 5x = - 15
- 1x = - 15
x = 15
Therefore, The number is 15EXPLANATION.
Quadratic equation.
⇒ √3x² - 2√2x - 2√3 = 0.
As we know that,
⇒ D = Discriminant Or b² - 4ac.
⇒ D = (-2√2)² - 4(√3)(-2√3).
⇒ D = 4 x 2 + 4(√3)(2√3).
⇒ D = 8 + 4(6).
⇒ D = 8 + 24.
⇒ D = 32.
⇒ x = - b + √D/2a.
⇒ x = -(-2√2) + √32/(2√3).
⇒ x = 2√2 + 4√2/(2√3).
⇒ x = 6√2/(2√3).
⇒ x = 3√2/(√3). = √6.
⇒ x = - b - √D/2a.
⇒ x = -(-2√2) - √32/(2√3).
⇒ x = 2√2 - 4√2/(2√3).
⇒ x = - 2√2/(2√3).
⇒ x = -√2/√3.
The distance and displacement of the body will be 22 cm and 14 cm respectively.
Explanation:
Given: r = 7 cm
Half a revolution is equal to half the circumference of the circle. Distance is the length of the total path traveled from one point to another.
Thus, “distance = half the circumference” = r = (22/7) x 7 = 22 cm.
Displacement is known as the shortest distance from one point to another = diameter of the circle =- 2r = 2 x 7 = 14 cm.Given:- difference between the circumference and diameter of a circular bangle is 5cm.
To Find:- radius of the bangle.
Solution :-
Let 'r' be considered as radius of circular bangle here.
As we know that circumference of circle is 2πr and diameter of circle is equal to the twice of radius, 2r.
Now, according to question,
⇒ 2πr - 2r = 5cm
⇒ 2r(π - 1) = 5cm
⇒ r = 5 / 2(π-1)
⇒ r = 5 / 2( 22/7-1 )
⇒ r = 5 × 7 / 2 × 15
⇒ r = 7 / 6
⇒ r = 1.16cm
Therefore, radius of the bangle is 1.16cm.Given
Roots of quadratic polynomials are 
explanation:
Since we have given that
First we will find the zeroes of the quadratic polynomial.
We will use "Split the middle terms":
Now,
Let, 
Now, we will verify the relationship between the zeroes and coefficient.
Sum of zeroes is given by
Hence, verified.
Roots of quadratic polynomials are Solution:
We know that:
To kill 7 rats, it takes: 7 cats = 7 minutes
We need to find:
How
