Question

Planck's constant has the same dimensions as
(a) force × time
(b) force × distance
(c) force × speed
(d) force × distance time

Answer 1

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

Option (a) is correct

=========================================

Dimension formula of Force and Time are :-

1) Force

$\huge{\boxed{\boxed{\sf{Force \: = \: ML^{2}T^{-2}}}}}$

2) Time

$\huge{\boxed{\boxed{\sf{Time \: = \: M^{0}L^{0}T^{1}}}}}$

========================================

Now,

Force × Time

$\huge{\sf{[ML^{2}T^{-2}] \: \times \: [M^{0}L^{0}T^{1}]}}$

We get,

$\huge \implies {\sf{\: \: [ML^{2}T^{-2 \: + 1}]}}$

$\huge{\boxed{\boxed{\sf{ \: = \: [ML^{2}T^{-1}] }}}}$

Which is dimension formula of Planck's Constant.

=====================================

# Reffer to attachment for Planck's Constant