In the relation P is pressure, Z is the distance, k is Boltzmann constant and θ is the temperature. The dimensional formula of β will be
The frequency of vibration of string is given by . Here p is number of segments in the string and l is the length. The dimensional formula for m will be
|Column I||Column II|
|(i) Curie||(A) MLT–2|
|(ii) Light year||(B) M|
|(iii) Dielectric strength||(C) Dimensionless|
|(iv) Atomic weight||(D) T|
|(v) Decibel||(E) ML2T–2|
Choose the correct match
(1) (i) G, (ii) H, (iii) I, (iv) B, (v) C
(2) (i) D, (ii) H, (iii) I, (iv) B, (v) G
(3) (i) G, (ii) H, (iii) I, (iv) B, (v) G
(4) None of the above
A wire has a mass 0.3 ± 0.003 g, radius 0.5 ± 0.005 mm and length 0.6 ± 0.006 cm. The maximum percentage error in the measurement of its density is
Concept Questions :-
Assertion : ‘Light year’ and ‘Wavelength’ both measure distance.
Reason : Both have dimensions of time.
Assertion : Light year and year, both measure time.
Reason : Because light year is the time that light takes to reach the earth from the sun.
Assertion : Force cannot be added to pressure.
Reason : Because their dimensions are different.
Assertion : Linear mass density has the dimensions of .
Reason : Because density is always mass per unit volume.
Assertion : Rate of flow of a liquid is defined as volume of liquid flowing per second.
Reason : The dimensions of rate of flow are .