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Phys101 Term: 122 Online HW-Ch01-Lec01 Q1: Which of the following have the same dimension? 1) 2) 3) 4) 5) 5 milliseconds. 3 seconds. 15 kilograms. 7 grams. 2 seconds. A) B) C) D) E) 1 and 3. 2, 3 and 4. 2, 3 and 5. 1, 2, and 4. 1, 2, and 5 Ans: 𝐄 Q2: Convert the sum of 6 hours, 20 minutes and 15 seconds into seconds. (Give your answer in three significant figures form) Ans: 3600 s 60 s 6 hrs + 20 min + 155 = (6 hr) � � + 20 min � � + 15 s 1 hr 1 min = 22815 ≅ 228 × 102 s Q3: Suppose A = t.Bn.C, where A has dimensions LT, B has dimensions T/L, C has dimensions T3/L2 and t is time. Find the value of the exponent n. (Give your answer in three significant figures form) Ans: [A] = LT; [t] = T ; [B] = T n T3 LT = T. � � . � 2 � L L T T3 ; [C] = 2 L L T. T n . T 3 ⇒ LT = = T1+n+3 . L−n−2 n 2 L .L The exponent of T on the left hand side is equal to the exponent of T on the right-hand side (same for L) 1 = 1 + n + 3 ⇒ n = − 3.00 KFUPM-Physics Department 1