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A student performs experiment with simple pendulum and measures time for vibrations. If he measures a time for vibrations, the relative error in measurements of time period will be reduced by . The value of is

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Important Questions on Physical World, Units and Measurement
HARD
JEE Main/Advance
IMPORTANT
Intensity observed in an interference pattern is . At , intensity . The percentage error in angle if is . Value of , is

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JEE Main/Advance
IMPORTANT
The energy of a system as a function of time is given as, where . The measurement of has an error of . If the error in the measurement of time is . The percentage error in the value of at , is

MEDIUM
JEE Main/Advance
IMPORTANT
van der Waal's gas equation for number of moles is given by the formula , where is pressure, is volume, is gas constant and is temperature.
Dimensions of is

EASY
JEE Main/Advance
IMPORTANT
van der Waal's gas equation for number of moles is given by the formula , where is pressure, is volume, is gas constant and is temperature.
Dimensions of is
EASY
JEE Main/Advance
IMPORTANT
van der Waal's gas equation for number of moles is given by the formula , where is pressure, is volume, is gas constant and is temperature.
Dimensions of is
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JEE Main/Advance
IMPORTANT
The dimensions of in the equation , where is pressure, is distance and is time, are

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JEE Main/Advance
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Position of a body moving with acceleration is given by , here is time. The values of and are given as ( is dimensionless)

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JEE Main/Advance
IMPORTANT
A uniform wire of length and mass is stretched between two fixed points, keeping a tension . A sound of frequency is impressed on it. Then the maximum vibrational energy is existing in the wire when
