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Units and Measurements · Question 44

JEE Main 2025 (Online) 29th January Morning ShiftMCQEasy📈 Topic in 19% papers+4−1
1

The expression given below shows the variation of velocity (v) with time (t), v = At2 + BtC + t. The dimension of ABC is :

  1. [ M0L1T-2]
  2. [ M0L2T-3]
  3. [ M0L2T-2]
  4. [ M0L1T-3]

Answer

(2) [ M0L2T-3]

Solution

C is added to t [C] = [T]

[At2] = [v] [A] = [ LT-1][T2] = [ LT-3]

[ BtC + t ] = [v] [B] = [ LT-1] (since tC + t is dimensionless)

[ABC] = [ LT-3][ LT-1][T] = [ M0L2T-3]

Answer: (2)

JEE Main 2025 (Online) 29th January Morning Shift

Keep practising — Units and Measurements

2

In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of [MaLbTc]. If b = -3, the value of c is .

JEE Main 2025 (Online) 28th January Morning Shift
3

A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm, respectively. Using a specially designed screw gauge which has pitch of 0.75 mm and 15 divisions in the circular scale, you are asked to find the area of the sheet. In this measurement, the maximum fractional error will be x100 where x is .

JEE Main 2025 (Online) 28th January Morning Shift
4

Match List - I with List - II. Choose the correct answer from the options given below:

  1. (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
  2. (A)-(I), (B)-(III), (C)-(IV), (D)-(II)
  3. (A)-(III), (B)-(I), (C)-(IV), (D)-(II)
  4. (A)-(III), (B)-(I), (C)-(II), (D)-(IV)
JEE Main 2025 (Online) 28th January Evening Shift

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