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NEET DIGITAL LIBRARY
PHXI02:UNITS AND MEASUREMENTS

367362 If the dimension of impulse is \(\left[ {{M^{2b}}\;{L^{3a}}\;{T^{4c}}} \right]\) then the value of \(3 a+2 b-4 c\) will be

1 1
2 3
3 5
4 2
PHXI02:UNITS AND MEASUREMENTS

367363 Match Column I with Column II. Choose the correct answer from the options given below.
Column I
Column II
A
Torque
P
\(\left[ {M{L^{ - 2}}{T^{ - 2}}} \right]\)
B
Stress
Q
\(\left[ {M{L^2}{T^{ - 2}}} \right]\)
C
Pressure gradient
R
\(\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]\)
D
Coefficient of viscosity
S
\(\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]\)

1 \({\rm{A}} - {\rm{Q}},\,\,{\rm{B}} - {\rm{S}},\,\,\,{\rm{C}} - {\rm{P}},\,\,\,{\rm{D}} - {\rm{R}}\)
2 \({\rm{A}} - {\rm{Q}},\;{\rm{B}} - {\rm{P}},\;\,{\kern 1pt} {\rm{C}} - {\rm{S}},\;\;\,{\kern 1pt} {\rm{D}} - {\rm{R}}\)
3 \({\rm{A}} - {\rm{S}},\,\,\,{\rm{B}} - {\rm{Q}},\,\,{\rm{C}} - {\rm{R}},\;\,{\rm{D}} - {\rm{P}}\)
4 \({\rm{A}} - {\rm{R}},\;{\rm{B}} - {\rm{S}},\;\;\,{\rm{C}} - {\rm{P}},\;\,{\rm{D}} - {\rm{Q}}\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367364 The dimensions of \(\dfrac{1}{2} \varepsilon_{0} E^{2}\) ( \(\varepsilon_{0}\) is permittivity of free space, \(E\) is electric field) are

1 \(\left[M L T^{-1}\right]\)
2 \(\left[M L^{2} T^{-3}\right]\)
3 \(\left[M L^{-1} T^{-2}\right]\)
4 \(\left[M L^{2} T^{-1}\right]\)
AIIMS - 2013
PHXI02:UNITS AND MEASUREMENTS

367365 Assertion :
Impulse has the dimensions of momentum.
Reason :
Impulse is directly proportional to the product of force and time.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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PHXI02:UNITS AND MEASUREMENTS

367362 If the dimension of impulse is \(\left[ {{M^{2b}}\;{L^{3a}}\;{T^{4c}}} \right]\) then the value of \(3 a+2 b-4 c\) will be

1 1
2 3
3 5
4 2
PHXI02:UNITS AND MEASUREMENTS

367363 Match Column I with Column II. Choose the correct answer from the options given below.
Column I
Column II
A
Torque
P
\(\left[ {M{L^{ - 2}}{T^{ - 2}}} \right]\)
B
Stress
Q
\(\left[ {M{L^2}{T^{ - 2}}} \right]\)
C
Pressure gradient
R
\(\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]\)
D
Coefficient of viscosity
S
\(\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]\)

1 \({\rm{A}} - {\rm{Q}},\,\,{\rm{B}} - {\rm{S}},\,\,\,{\rm{C}} - {\rm{P}},\,\,\,{\rm{D}} - {\rm{R}}\)
2 \({\rm{A}} - {\rm{Q}},\;{\rm{B}} - {\rm{P}},\;\,{\kern 1pt} {\rm{C}} - {\rm{S}},\;\;\,{\kern 1pt} {\rm{D}} - {\rm{R}}\)
3 \({\rm{A}} - {\rm{S}},\,\,\,{\rm{B}} - {\rm{Q}},\,\,{\rm{C}} - {\rm{R}},\;\,{\rm{D}} - {\rm{P}}\)
4 \({\rm{A}} - {\rm{R}},\;{\rm{B}} - {\rm{S}},\;\;\,{\rm{C}} - {\rm{P}},\;\,{\rm{D}} - {\rm{Q}}\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367364 The dimensions of \(\dfrac{1}{2} \varepsilon_{0} E^{2}\) ( \(\varepsilon_{0}\) is permittivity of free space, \(E\) is electric field) are

1 \(\left[M L T^{-1}\right]\)
2 \(\left[M L^{2} T^{-3}\right]\)
3 \(\left[M L^{-1} T^{-2}\right]\)
4 \(\left[M L^{2} T^{-1}\right]\)
AIIMS - 2013
PHXI02:UNITS AND MEASUREMENTS

367365 Assertion :
Impulse has the dimensions of momentum.
Reason :
Impulse is directly proportional to the product of force and time.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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PHXI02:UNITS AND MEASUREMENTS

367362 If the dimension of impulse is \(\left[ {{M^{2b}}\;{L^{3a}}\;{T^{4c}}} \right]\) then the value of \(3 a+2 b-4 c\) will be

1 1
2 3
3 5
4 2
PHXI02:UNITS AND MEASUREMENTS

367363 Match Column I with Column II. Choose the correct answer from the options given below.
Column I
Column II
A
Torque
P
\(\left[ {M{L^{ - 2}}{T^{ - 2}}} \right]\)
B
Stress
Q
\(\left[ {M{L^2}{T^{ - 2}}} \right]\)
C
Pressure gradient
R
\(\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]\)
D
Coefficient of viscosity
S
\(\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]\)

1 \({\rm{A}} - {\rm{Q}},\,\,{\rm{B}} - {\rm{S}},\,\,\,{\rm{C}} - {\rm{P}},\,\,\,{\rm{D}} - {\rm{R}}\)
2 \({\rm{A}} - {\rm{Q}},\;{\rm{B}} - {\rm{P}},\;\,{\kern 1pt} {\rm{C}} - {\rm{S}},\;\;\,{\kern 1pt} {\rm{D}} - {\rm{R}}\)
3 \({\rm{A}} - {\rm{S}},\,\,\,{\rm{B}} - {\rm{Q}},\,\,{\rm{C}} - {\rm{R}},\;\,{\rm{D}} - {\rm{P}}\)
4 \({\rm{A}} - {\rm{R}},\;{\rm{B}} - {\rm{S}},\;\;\,{\rm{C}} - {\rm{P}},\;\,{\rm{D}} - {\rm{Q}}\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367364 The dimensions of \(\dfrac{1}{2} \varepsilon_{0} E^{2}\) ( \(\varepsilon_{0}\) is permittivity of free space, \(E\) is electric field) are

1 \(\left[M L T^{-1}\right]\)
2 \(\left[M L^{2} T^{-3}\right]\)
3 \(\left[M L^{-1} T^{-2}\right]\)
4 \(\left[M L^{2} T^{-1}\right]\)
AIIMS - 2013
PHXI02:UNITS AND MEASUREMENTS

367365 Assertion :
Impulse has the dimensions of momentum.
Reason :
Impulse is directly proportional to the product of force and time.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
NEET DIGITAL LIBRARY
PHXI02:UNITS AND MEASUREMENTS

367362 If the dimension of impulse is \(\left[ {{M^{2b}}\;{L^{3a}}\;{T^{4c}}} \right]\) then the value of \(3 a+2 b-4 c\) will be

1 1
2 3
3 5
4 2
PHXI02:UNITS AND MEASUREMENTS

367363 Match Column I with Column II. Choose the correct answer from the options given below.
Column I
Column II
A
Torque
P
\(\left[ {M{L^{ - 2}}{T^{ - 2}}} \right]\)
B
Stress
Q
\(\left[ {M{L^2}{T^{ - 2}}} \right]\)
C
Pressure gradient
R
\(\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]\)
D
Coefficient of viscosity
S
\(\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]\)

1 \({\rm{A}} - {\rm{Q}},\,\,{\rm{B}} - {\rm{S}},\,\,\,{\rm{C}} - {\rm{P}},\,\,\,{\rm{D}} - {\rm{R}}\)
2 \({\rm{A}} - {\rm{Q}},\;{\rm{B}} - {\rm{P}},\;\,{\kern 1pt} {\rm{C}} - {\rm{S}},\;\;\,{\kern 1pt} {\rm{D}} - {\rm{R}}\)
3 \({\rm{A}} - {\rm{S}},\,\,\,{\rm{B}} - {\rm{Q}},\,\,{\rm{C}} - {\rm{R}},\;\,{\rm{D}} - {\rm{P}}\)
4 \({\rm{A}} - {\rm{R}},\;{\rm{B}} - {\rm{S}},\;\;\,{\rm{C}} - {\rm{P}},\;\,{\rm{D}} - {\rm{Q}}\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367364 The dimensions of \(\dfrac{1}{2} \varepsilon_{0} E^{2}\) ( \(\varepsilon_{0}\) is permittivity of free space, \(E\) is electric field) are

1 \(\left[M L T^{-1}\right]\)
2 \(\left[M L^{2} T^{-3}\right]\)
3 \(\left[M L^{-1} T^{-2}\right]\)
4 \(\left[M L^{2} T^{-1}\right]\)
AIIMS - 2013
PHXI02:UNITS AND MEASUREMENTS

367365 Assertion :
Impulse has the dimensions of momentum.
Reason :
Impulse is directly proportional to the product of force and time.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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