Answer:
option (B)
Explanation:
Young's modulus is defined as the ratio of longitudinal stress to the longitudinal strain.
Its unit is N/m².
The formula for the Young's modulus is given by

where, F is the force applied on a rod, L is the initial length of the rod, ΔL is the change in length of the rod as the force is applied, A is the area of crossection of the rod.
It is the property of material of solid. So, when the 10 wires are co joined together to form a new wire of length 10 L, the material remains same so the young' modulus remains same.
If the surface is rough then the average force needed to move the wooden block will be more as the friction between the surfaces will be more.
Hence, the least force will be required on the smoothest surface and the greatest force will be required for the roughest surface.
a) Hence, the order will be: B > D > A > C
b) When the surface is glued then the force of friction will increase. Hence, it will require more force to move the wooden block on the surface. Hence, the more required will be more than 105 N.
Answer:
The voltage of the generator is 88.53volts
Explanation:
The voltage across the RLC AC circuit will be the voltage across the generator. It is expressed as
V = IZ and
Z² = R² + (Xl-Xc)²
Z = √R² + (Xl-Xc)² where;
Z is the impedance that oppose the flow of current in the resistor, capacitor and inductor in the circuit
I is the total current = 0.312A
R is the resistance in the circuit = 280ohms
Xl is the inductive reactance = 508ohms
Xc is the capacitive reactance = 315ohms
Substituting to this parameters to get the impedance Z we have;
Z = √280²+(508-315)²
Z = √208²+(193)²
Z = √80,513
Z = 283.75ohms
The voltage V of the generator = current × impedance
V = 0.312×283.75
V = 88.53Volts
The voltage if the generator is 88.53volts
Answer:
2.1 × 10⁻⁵ T
Explanation:
Given:
Inner radius, r = 4 mm = 0.004 m
Outer radius, R = 25 mm = 0.025 m
Current, I = 4 A
Distance of the point from the center, a = 17 mm = 0.017 m
μ₀ = 4π × 10⁻⁷ T·m/A
Now,
For the hollow cylinder magnetic field (B) is given as:
on substituting the respective values, we get
or
B = 2.1 × 10⁻⁵ T