This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Here are the solutions to the questions from the image: Question 5: The resistance of a wire is R = (L)/(A) = (4 L)/( d^2). i) If its length is doubled (L' = 2L): Step 1: Calculate the new resistance R'. R' = (4 (2L))/( d^2) = 2 ( (4 L)/( d^2) ) = 2R The resistance will be 2R. ii) If its diameter is halved (d' = d/2): Step 2: Calculate the new resistance R''. R'' = (4 L)/( (d/2)^2) = (4 L)/( (d^2/4)) = 16 ( (4 L)/( d^2) ) = 16R The resistance will be 16R. Question 6: Step 1: Evaluate the expression. The expression = (1)/(sqrt(_0 _0)) represents the speed of light in vacuum (c). c = (1)/(sqrt(_0 _0)) ≈ 3 × 10^8 m/s Step 2: State its unit. The unit of speed is meters per second. The expression evaluates to 3 × 10^8 m/s. Its unit is meters per second (m/s). Question 7: Given: Two wires of the same length (L) and same material (resistivity , conductivity ). They have different diameters d_1 and d_2, with d_1 < d_2. i) Which wire has greater conductivity? Step 1: Compare conductivities. Conductivity () is an intrinsic property of the material. Since both wires are made of the same material, their conductivities are equal. The wire with greater conductivity is neither, they have the same conductivity. ii) Which wire has greater conductance? Step 2: Compare conductances. Conductance (G) is the reciprocal of resistance (R), G = (1)/(R) = (A)/( L) = ( d^2)/(4 L). Since G d^2 and d_1 < d_2, the wire with the larger diameter (d_2) will have greater conductance. The wire with greater conductance is the wire with diameter d_2. Question 8: a) (i) State the fundamental laws of conservation of electric charges. The law of conservation of electric charge states that the net electric charge of an isolated system remains constant. Charge can neither be created nor destroyed, but it can be transferred from one object to another. a) (ii) What will happened to a This question is incomplete and cannot be answered. 3 done, 2 left today. You're making progress.