Units and Measurements

The radius (r), length (l) and resistance (R) of a metal wire was measured in the laboratory as r=(0.35 0.05) cm R=(100 10) ohm l=(15 0.2) cm The percentage error in resistivity of the material of the wire is :

1. 37.3\%
2. 25.6\%
3. 35.6\%
4. 39.9\%

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)-(IV), (B)-(III), (C)-(I), (D)-(II)
3. (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
4. (A)-(III), (B)-(IV), (C)-(II), (D)-(I)

If the percentage errors in measuring the length and the diameter of a wire are 0.1\% each. The percentage error in measuring its resistance will be:

1. 0.144%
2. 0.2%
3. 0.1%
4. 0.3%

A force is represented by F=ax2+bt 12 where x= distance and t= time. The dimensions of b2/a are:

1. [ ML2 T-3 ]
2. [ ML3 T-3 ]
3. [ MLT-2 ]
4. [ ML-1T-1 ]

Consider two physical quantities A and B related to each other as E= B-x2At where E, x and t have dimensions of energy, length and time respectively. The dimension of AB is

1. L-2M1T0
2. L2M-1T1
3. L0M-1T1
4. L-2M-1T1

The measured value of the length of a simple pendulum is 20 cm with 2 mm accuracy. The time for 50 oscillations was measured to be 40 seconds with 1 second resolution. From these measurements, the accuracy in the measurement of acceleration due to gravity is N%. The value of N is:

1. 6
2. 5
3. 4
4. 8

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)-(II), (C)-(III), (D)-(IV)
3. (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
4. (A)-(III), (B)-(IV), (C)-(II), (D)-(I)

If 50 Vernier divisions are equal to 49 main scale divisions of a traveling microscope and one smallest reading of main scale is 0.5 mm, the Vernier constant of traveling microscope is

1. 0.01 mm
2. 0.01 cm
3. 0.1 mm
4. 0.1 cm

If mass is written as m=kcPG-1/2h1/2 then the value of P will be : (Constants have their usual meaning with k a dimensionless constant)

1. 1/3
2. -1/3
3. 1/2
4. 2

The resistance R= VI where V=(200 5) V and I=(20 0.2) A, the percentage error in the measurement of R is :

1. 5.5%
2. 3%
3. 7%
4. 3.5%