NEET 2016 Physics and Chemistry Paper 2

Hint : Write the Units of all given physical quantities put these values in all option to verify which expression have same unit or dimension of length
Step 1: Write the SI units of given physical quantities
The SI unit of h= J.s or N.m.s
SI unit of c=m∕ s
S.I unit of G=‌

N.m2

Kg2

Step 2: Finding the units of all options
For A: √‌

(N⋅m2∕kg2)(m∕ s)

(N⋅m⋅ s)3∕2

=‌

kg⋅m3

N⋅ s5

=‌

kg⋅m3

(kg⋅m∕ s2)( s5)

=m2∕ s3
For B: ‌

√(N⋅m⋅ s)(N2⋅m2∕kg2)

(m∕ s)3∕2

=‌

Ns2

kg

=‌

(kg⋅m∕ s2)( s2)

kg

=m, it is the unit length.
For D: √‌

(N⋅m⋅ s)(m∕ s)

N⋅m2∕kg2

=kg