EASY
JEE Advanced
IMPORTANT
Earn 100

If and stand for distance, then for what value of is the given equation dimensionally correct? The equation is
(a)
(b)
(c)
(d)

100% studentsanswered this correctly

Important Questions on Dimensions and Measurement
EASY
JEE Advanced
IMPORTANT
The time dependence of a physical quantity is given by, , where is a constant and is time. Then constant is/has

EASY
JEE Advanced
IMPORTANT
The frequency of vibrations of a mass suspended from a spring of spring constant is given by , where is a dimensionless constant. The values of and are, respectively,

MEDIUM
JEE Advanced
IMPORTANT
A student writes four different expressions for the displacement in a periodic motion as a function of time , as amplitude, as time period. Which of the following can be correct?

HARD
JEE Advanced
IMPORTANT
If (the velocity of light) , (the acceleration due to gravity) and (the atmospheric pressure) are the fundamental quantities in system, then the dimensions of length will be same as that of

EASY
JEE Advanced
IMPORTANT
The relation gives the angle of banking of the cyclist going round the curve. Here is the speed of the cyclist, is the radius of the curve, and is the acceleration due to gravity. Which of the following statements about the relation is true?

EASY
JEE Advanced
IMPORTANT
A physical quantity is represented by . The maximum percentage errors in the measurement of and , respectively, are , and . The maximum percentage error in the measurement of will be

EASY
JEE Advanced
IMPORTANT
The velocity of transverse wave in a string is where is the tension in the string and is the mass per unit length. If , the mass of string is and the length of string is then the percentage error in the measurement of velocity is

EASY
JEE Advanced
IMPORTANT
Write the dimensions of in the relation , where is the pressure, is the distance and is the time.
