Answer:
(1) 1×10⁻⁴
Explanation:
From the question,
α = (ΔL/L)/(ΔT)............. Equation 1
Where α = linear expansivity of the metal plate, ΔL/L = Fractional change in Length, ΔT = Rise in temperature.
Given: ΔL/L = 1×10⁻⁴, ΔT = 10°C
Substitute these values into equation 1
α = 1×10⁻⁴/10
α = 1×10⁻⁵ °C⁻¹ .
β = (ΔA/A)/ΔT................... Equation 2
Where β = Coefficient of Area expansivity, ΔA/A = Fractional change in area.
make ΔA/A the subject of the equation
ΔA/A = β×ΔT.......................... Equation 3
But,
β = 2α.......................... Equation 4
Substitute equation 4 into equation 3
ΔA/A = 2α×ΔT................ Equation 5
Given: ΔT = 5°C, α = 1×10⁻⁵ °C⁻¹
Substitute into equation 5
ΔA/A = ( 2)×(1×10⁻⁵)×(5)
ΔA/A = 10×10⁻⁵
ΔA/A = 1×10⁻⁴
Hence the right option is (1) 1×10⁻⁴
Answer:
The larger resistance value is 144 ohms and the smaller resistance value is 48 ohms.
Explanation:
Given that Resistance, R, is inversely proportional to Power, the largest value of power will yield the smallest value of resistance and vice versa.
The largest value of resistance will be:
P = V²/R
R = V²/P
R = 120²/100
R = 144 ohms
The smallest value of resistance will be:
R = 120²/300
R = 48 ohms
Answer:
11.87
Explanation:
final velocity^2= initial velocity ^2+ 2* Acceleration* distance
Final Velocity^2= 9*9+2*1.5.20
final velocity^2 = 141
final velocity = 11.87
The electric force on the charges will be equal and opposite in nature and the magnitude will be 8.5536 × 10⁻¹³ Newton.
Formula for electrostatic force is F = ( K q1 q2 )/ r²
where q1 and q2 represent the charges and r represents the distance between them and the value of K is 9 × 10⁹.
In question we have given
value of q1 = 5.4 x 10⁻⁷ C
value of q2 = 1.1 x 10⁻¹⁷ C
distance between the (r) = 0.25 m
Applying the formula
F = ( K x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²
F = ( (9 × 10⁹ ) x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²
F = ( (9 × 5.4 × 1.1) × ( 10⁹ × 10⁻⁷ x 10⁻¹⁷) )/ ( 6.25 × 10⁻² )
F = ( 53.46 × 10⁻¹⁵) / ( 6.25 × 10⁻² )
F = 8.5536 × 10⁻¹³ Newton
Electrostatic force = 8.5536 × 10⁻¹³ Newton
So, The point charges are possessing equal and opposite electrostatic force of magnitude 8.5536 × 10⁻¹³ Newton.
Learn more about Electrostatic Force here:
brainly.com/question/23121845
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