Answer:
The percentage change in resistance of the wire is 69%.
Explanation:
Resistance of a wire can be determined by,
R = (ρl) ÷ A
Where R is its resistance, l is the length of the wire, A its cross sectional area and ρ its resistivity.
When the wire is stretched, its length and area changes but its volume and resistivity remains constant.
= 1.3l, and
= 
So that;
= (ρ
) ÷
= (ρ × 1.3l) ÷ (
)
= (1.3lρ) ÷ (
)
=
× [(ρl) ÷ A]
= 1.69R (∵ R = (ρl) ÷ A)
= 1.69R
Where
is the new resistance,
is the new length, and
is the new area after stretching the wire.
The change in resistance of the wire =
- R
= 1.69R - 1R
= 0.69R
The percentage change in resistance =
× 100
= 0.69 × 100
= 69%
The percentage change in resistance of the wire is 69%.
Answer:
Thus, the maximum height is 7.35 m.
Explanation:
initial velocity, u = 12 m/s
acceleration due to gravity, g = 9.8 m/s^2
Velocity at maximum height, v = 0 m/s
Let the maximum height is h.
Use third equation of motion

Gravity is affected by mass and distance
Answer:
α = 1.32 rad/s²
Explanation:
given,
diameter of the bicycle = 0.8 m
radius of the bicycle = 0.4 m
initial speed of the bicyclist,u = 0 m/s
final speed of the bicyclist,v = 22 Km/h = 22 x 0.278
= 6.12 m/s
time,t = 11.6 s
acceleration =
=
=0.53 m/s²
we know,
a = α r


α = 1.32 rad/s²
the angular acceleration of the wheels is equal to α = 1.32 rad/s²
Answer:
26.6°
Explanation:
refractive index of diamond, n = 2.23
When a ray of light passes from denser medium to the rarer medium and refracts at an angle of 90 degree from the normal of the surface, such angle of incidence in the denser medium is called the critical angle.
By the Snell's law

For critical angle, angle of incidence is critical angle, i = θc and angle of refraction, r = 90
So,
Sin θc / Sin 90 = 1 / 2.23
Sin θc = 0.448
θc = 26.6°
Thus, the critical angle is 26.6°.