EASY
MHT-CET
IMPORTANT
Earn 100

If X=3YZ2 then the dimension of Y in MKS system, if  X and Z are the dimension of capacity and magnetic field, respectively is
 

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Important Questions on Measurements

EASY
MHT-CET
IMPORTANT
Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length? 
EASY
MHT-CET
IMPORTANT
A spherical liquid drop is placed on a horizontal plane. A small disturbance causes the volume of the drop to oscillate. The time period of oscillation T of the liquid drop depends on radius r of the drop, density ρ and surface tension S of the liquid. Which among the following will be a possible expression for T (where, k is a dimensionless constant)?
HARD
MHT-CET
IMPORTANT
A physical quantity of the dimensions of length that can be formed out of c, G and e24πϵ0 [c is the velocity of light, G is the universal constant of gravitation and e is a charge]
 
EASY
MHT-CET
IMPORTANT
In the relation P=αβe-αZkθ,P is pressure, Z is the distance, k is Boltzmann's constant and θ is the temperature. The dimensional formula of β will be 
 
MEDIUM
MHT-CET
IMPORTANT
Match the following two columns.
 Column I Column II (a)  Electrical  resistance  (p) M1L3T-3A-2 (b)  Electrical potential  (q) ML2T-3A-2 (c)  Specific resistance  (r) ML2T-3A-1 (d)  Specific  conductance  (s)  None of these 

 
EASY
MHT-CET
IMPORTANT

 Match the list-I with list-II 

 P  Boltzmann  constant  (I) ML0T0 Q  Coefficient of  viscosity  (II) ML-1T-1 R  Water equivalent  (III) MLT-3K-1 S  Coefficient of  thermal  conductivity  (IV) ML2T-2K-1

 

EASY
MHT-CET
IMPORTANT
The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1×10-3 are,