EASY
JEE Advanced
IMPORTANT
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If x and a stand for distance, then for what value of n is the given equation dimensionally correct? The equation isdxa2-xn=sin-1xa

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Important Questions on Dimensions and Measurement

EASY
JEE Advanced
IMPORTANT
The time dependence of a physical quantity P is given by, P=P0e-αt2, where α is a constant and t is time. Then constant α is/has
EASY
JEE Advanced
IMPORTANT
The frequency f of vibrations of a mass m suspended from a spring of spring constant k is given by f=Cmxky, where C is a dimensionless constant. The values of x and y are, respectively,
MEDIUM
JEE Advanced
IMPORTANT
A student writes four different expressions for the displacement y in a periodic motion as a function of time t, a as amplitude, T as time period. Which of the following can be correct?
HARD
JEE Advanced
IMPORTANT
If c (the velocity of light) g, (the acceleration due to gravity) and P (the atmospheric pressure) are the fundamental quantities in MKS system, then the dimensions of length will be same as that of
EASY
JEE Advanced
IMPORTANT
The relation tan θ=v2rg gives the angle of banking of the cyclist going round the curve. Here v is the speed of the cyclist, r is the radius of the curve, and g is the acceleration due to gravity. Which of the following statements about the relation is true? 
EASY
JEE Advanced
IMPORTANT
A physical quantity X is represented by X=MxL-yT-z. The maximum percentage errors in the measurement of M,L and T, respectively, are a%b% and c%. The maximum percentage error in the measurement of X will be
EASY
JEE Advanced
IMPORTANT
The velocity of transverse wave in a string is v=Tm where T is the tension in the string and m is the mass per unit length. If T= 3.0 kg f, the mass of string is 2.5 g and the length of string is l=1.000 m then the percentage error in the measurement of velocity is 
EASY
JEE Advanced
IMPORTANT
Write the dimensions of a/b in the relation P=a-t2bx, where P is the pressure, x is the distance and t is the time.