EASY
JEE Main
IMPORTANT
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Let L, R, C and V represent inductance, resistance, capacitance and voltage, respectively. The dimension of LRCV in SI units will be:

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Important Questions on Physics and Measurement

MEDIUM
JEE Main
IMPORTANT
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
JEE Main
IMPORTANT
In a screw gauge, 5 complete rotations of the screw cause it to move a linear distance of 0.25 cm. There are100 circular scale divisions. The thickness of a wire measured by this screw gauge gives a reading of 4 main scale divisions and 30 circular scale divisions. Assuming negligible error, the thickness of the wire is
EASY
JEE Main
IMPORTANT
The relative error in the determination of the surface area of a sphere is α . The relative error in the determination of its volume is
MEDIUM
JEE Main
IMPORTANT
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:
EASY
JEE Main
IMPORTANT
Time T, velocity C and angular momentum h are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be:
EASY
JEE Main
IMPORTANT

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:

EASY
JEE Main
IMPORTANT
In the following I refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity:
MEDIUM
JEE Main
IMPORTANT
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: