Shear strain (γ) = Shear stress (τ) / Shear modulus (G) = 40 MPa / 80 GPa = 0.0005.

A relative error of 5% indicates that the measurement is off by 5% of the true value.

Accuracy refers to how close a measurement is to the true value.

Accuracy refers to how close a measured value is to the true value.

A precision of 0.01 cm implies that the measurement can vary by this amount, indicating the level of uncertainty.

Using Ohm's Law, R = V / I = 10V / 2A = 5Ω.

Using Ohm's Law, V = I * R = 2A * 10Ω = 20V.

Power (P) can be calculated using P = I^2 * R = (4A)^2 * 8Ω = 16 * 8 = 128W.

Using Ohm's Law, V = I * R = 4A * 8Ω = 32V.

The maximum error is typically taken as the least count of the measuring instrument, which is 0.1 cm.

The least count of a measuring instrument is the smallest value that can be measured accurately, which in this case is 0.1 cm.

Using the formula τ = Iα, we have α = τ/I = 10 Nm / 2 kg·m² = 5 rad/s².

The speed of a wave can be calculated using the formula v = f × λ. Here, v = 50 Hz × 4 m = 200 m/s.

Using the wave equation v = fλ, we can rearrange it to find λ = v/f. Thus, λ = 300 m/s / 150 Hz = 2 m.

Total energy (E) in SHM is proportional to the square of the amplitude (A). If A is doubled, E becomes 4A^2, hence it quadruples.

The energy of a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy also increases.

The energy carried by a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy also increases.

The energy of a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy also increases.

The energy carried by a wave is proportional to the square of the amplitude. Therefore, if the amplitude is tripled, the energy increases by a factor of 3^2 = 9.

Capacitance C is defined as C = Q/V. If C is doubled and Q remains constant, then V must halve to maintain the equation.

The capacitance C of a parallel plate capacitor is given by C = εA/d. If the distance d is doubled, the new capacitance will be C/2.

Capacitance C = Q/V. If Q is doubled and V remains constant, C must also double.

The electric field E between the plates of a capacitor is directly proportional to the charge. If the charge is doubled, the electric field also doubles.

Using Ohm's Law, V = I * R = 3A * 2Ω = 6V.

Using Ohm's Law, R = V / I = 6V / 2A = 3Ω.

Using Ohm's Law, R = V / I = 9V / 3A = 3Ω.

The heat produced is proportional to the square of the current (H ∝ I²), so if I is doubled, heat becomes 4 times.

Using Ohm's Law, V = I * R = 5A * 10Ω = 50V.

Tensile strength is inversely proportional to the cross-sectional area. Halving the diameter reduces the area to a quarter, thus tensile strength quadruples.

If the distance d is halved, the capacitance C = εA/d will double.