E, m, l and G denote energy, mass, angular momentum and gravitational constant respectively, then the dimension of El2m5G2 are

(1) Angle

(2) Length

(3) Mass

(4) Time

Subtopic:  Dimensions |
 56%
From NCERT
AIIMS - 1985
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From the equation tanθ=rgv2, one can obtain the angle of banking θ for a cyclist taking a curve (the symbols have their usual meanings). Then say, it is

(1) Both dimensionally and numerically correct

(2) Neither numerically nor dimensionally correct

(3) Dimensionally correct only

(4) Numerically correct only

Subtopic:  Dimensions |
From NCERT
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A dimensionally consistent relation for the volume V of a liquid of coefficient of viscosity η flowing per second through a tube of radius r and length l and having a pressure difference p across its end, is

(1) V=πpr48ηl

(2) V=πηl8pr4

(3) V=8pηlπr4

(4) V=πpη8lr4

Subtopic:  Dimensions |
 68%
From NCERT
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The velocity v (in cm/sec) of a particle is given in terms of time t (in sec) by the relation v=at+bt+c; the dimensions of a, b and c are

(1) a=L2,b=T,c=LT2

(2) a=LT2,b=LT,c=L

(3) a=LT2,b=L,c=T

(4) a=L,b=LT,c=T2

Subtopic:  Dimensions |
 83%
From NCERT
PMT - 1990
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From the dimensional consideration, which of the following equation is correct ?

(1) T=2πR3GM

(2) T=2πGMR3

(3) T=2πGMR2

(4) T=2πR2GM

Subtopic:  Dimensions |
 57%
From NCERT
PMT - 1983
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The dimensions of ab in the equation P=at2bx, where P is pressure, x is distance and t is time, are 

(1) MT–2

(2) M2LT–3

(3) ML3T–1

(4) LT–3

Subtopic:  Dimensions |
 76%
From NCERT
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Dimensions of 1μ0ε0, where symbols have their usual meaning, are 

(1) [LT–1]

(2) [L–1T]

(3) [L–2T2]

(4) [L2T–2]

Subtopic:  Dimensions |
 57%
From NCERT
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The dimensions of e2/4πε0hc, where e,ε0,h and c are electronic charge, electric permittivity, Planck’s constant and velocity of light in vacuum respectively 

(1) [M0L0T0]

(2) [M1L0T0]

(3) [M0L1T0]

(4) [M0L0T1]

Subtopic:  Dimensions |
 68%
From NCERT
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If radius of the sphere is (5.3 ± 0.1)cm. Then percentage error in its volume will be 

(1) 3+6.01×1005.3

(2) 13×0.01×1005.3

(3) 3×0.15.3×100

(4) 0.15.3×100

Subtopic:  Errors |
 82%
From NCERT
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The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum error in the measurement of force and length are respectively 4% and 2%. The maximum error in the measurement of pressure is 

(1) 1%

(2) 2%

(3) 6%

(4) 8%

Subtopic:  Errors |
 71%
From NCERT
PMT - 1993
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