EASY
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Given below are two statements: one is labelled as Assertion(A) and the other is labelled as Reason (R).
Assertion (A) : In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more than the actual reading.
Reason (R) : The zero error in Vernier Calliper might have happened due to manufacturing defect or due to rough handling.
In the light of the above statements, choose the correct answer from the options given below :

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Important Questions on Physics and Measurement

HARD

There are two vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale. The Vernier scale of one of the calipers C1 has 10 equal divisions that correspond to 9 main scale divisions. The Vernier scale of the other caliper C2 has 10 equal divisions that correspond to 11 main scale divisions. The readings of the two calipers are shown in the figure. The measured values (in cm) by calipers C1 and C2 respectively, are

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MEDIUM
The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physical quantity A= P 3 Q 2 R S . The maximum percentage error in the value of A will be:
MEDIUM
In an experiment, the mass of an object is measured by applying a known force on it, and then measuring its acceleration. If in the experiment, the measured values of applied force and the measured acceleration are F=10.0±0.2 N and a=1.00±0.01 m s-2, respectively, the mass of the object is
MEDIUM
In an experiment on a simple pendulum to determine the acceleration due to gravity, the student measures the length of the thread as 63.2 cm and diameter of the pendulum bob as 2.256 cm. The student should take the length of the pendulum to be
MEDIUM
Diameter of a steel ball is measured using a Vernier calipers which has divisions of 0.1 cm on its main scale (MS) and 10 divisions of its Vernier scale (VS) match 9 divisions on the main scale. Three such measurements for a ball are given as:
S.No. MS (cm) VS divisions
1. 0.5 8
2. 0.5 4
3. 0.5 6

If the zero error is - 0.03 cm, then mean corrected diameter is:
MEDIUM

Two students P and Q perform an experiment to verify Ohm's law for a conductor with resistance R. They use a current source and a voltmeter with the least counts of 0.1 mA and 0.1 mV, respectively. The plots of the variation of voltage drop V across R with current I for both are shown below.

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The statement which is most likely to be correct?

 

MEDIUM
If one takes into account the finite mass of the proton, the correction to the binding energy of the hydrogen atom is approximately (mass of proton =1.60×10-27kg, mass of an  electron =9.10×10-31kg )
MEDIUM
The density of a material, in the shape of a cube, is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are 1.5% and 1%, respectively, the maximum error in determining the density is:
EASY
A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it ?
HARD
The current voltage relation of diode is given by I = (e1000 V/T - 1) mA, where the applied voltage V is in volts and the temperature T is in degree Kelvin. If a student makes an error measuring ± 0.01 V  while measuring the current of 5 mA at 300 K, what will be the error in the value of current in mA ?
MEDIUM
The length and width of a rectangular room are measured to be 3.95±0.05 m and 3.05±0.05 m , respectively, the area of the floor is
MEDIUM
The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to measure 5 μm diameter of a wire is:
EASY

A physical quantity P is described by the relation P=a12 b2 c3d-4. If the relative errors in the measurement of a, bc and d respectively, are 2%, 1%, 3% and 5%. Then the relative error in P will be:

HARD
The diameter of a cylinder is measured using a vernier callipers with no zero error. It is found that the zero of the vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The vernier scale has 50  divisions equivalent to 2.45 cm. The 24th division of the vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is, 
EASY
An experiment is performed to obtain the value of acceleration due to gravity g by using a simple pendulum of length L. In this experiment time for 100 oscillations is measured  by using a watch of 1 second least count and the value is 90.0 seconds. The length L is measured by using a meter scale of least count 1 mm and the value is 20.0 cm. The error in the determination of g would be :
MEDIUM
A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be:
MEDIUM
A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the 45th division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is 0.5 mm and the 25th division coincides with the main scale line?
EASY

The figure of a centimetre scale below shows a particular position of the Vernier calipers. In this position, the value of x shown in the figure is (figure is not to scale):

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MEDIUM
The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies 3 divisions below the mean line.

The readings of the main scale and the circular scale, for a thin sheet, are 5.5 mm and 48 respectively, the thickness of this sheet is:
MEDIUM
The diameter and height of a cylinder are measured by a meter scale to be 12.6±0.1cm and 34.2±0.1cm, respectively. What will be the value of its volume in appropriate significant figures?