EASY
JEE Main
IMPORTANT
Earn 100

A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of 0.5 mm is noticed on the pitch scale. The nature of zero error involved and the least count of the screw gauge, are respectively:

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Important Questions on Physics and Measurement

MEDIUM
JEE Main
IMPORTANT
The density of a solid metal sphere is diameter. The maximum error in the density of the sphere is x100%. If the relative errors in measuring the mass and the diameter are 6.0% and 1.5% respectively, the value of x is -
EASY
JEE Main
IMPORTANT
A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings 5.50 mm5.55 mm5.34 mm5.65 mm. The average of these four reading is 5.5375 mm and the standard deviation of the data is 0.07395 mm. The average diameter of the pencil should therefore be recorded as :
EASY
JEE Main
IMPORTANT
Given, B is magnetic field induction, and μ0 is the magnetic permeability of vacuum. The dimension of B22μ0 is:
MEDIUM
JEE Main
IMPORTANT
The dimension of stopping potential V0 in photoelectric effect in units of Planck’s constant h , speed of light c  and Gravitational constant G  and ampere A is:
EASY
JEE Main
IMPORTANT
A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length of the pendulum is 25.0 cm and a stopwatch with 1 s resolution measures the time taken for 40 oscillations to be 50 s. The accuracy in g is:
EASY
JEE Main
IMPORTANT
A quantity f is given by f=hc5G where c is speed of light, G universal gravitational constant and h is the Planck’s constant. Dimension of f is that of:
MEDIUM
JEE Main
IMPORTANT
If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If there are 50 divisions on the circular scale the least count of the screw gauge is:
MEDIUM
JEE Main
IMPORTANT
For the four sets of three measured physical quantities as given below. Which of the following options is correct?
i A1=24.36,B1=0.0724,C1=256.2
ii A2=24.44,B2=16.082,C2=240.2
iii A3=25.2,B3=19.2812,C3=236.183
iv A4=25,B4=236.191,C4=19.5