Question

Mark the correct statements
(a) Equations of special relativity are not applicable for small speeds.
(b) Equations of special relativity are applicable for all speeds.
(c) Nonrelativistic equations give exact result for small speeds.
(d) Nonrelativistic equations never give exact result.

Answer 1

The correct answers are (b) and (d).

Explanation:

We cannot get correct result from non-relativistic equations.

As per the special relativity, at a very high-speed v, when a particle moves with mass m = γmo, time change is Δt = γΔto, length l = loγ,  

where, $\mathrm{y}=11-\mathrm{v} 2 \mathrm{c} 2 \text { if } \mathrm{v}<<\mathrm{c}$

⇒γ ≅1 is at small speed, which is at non-relativistic speed,

$\mathrm{m} \cong \mathrm{mo}, \Delta \mathrm{t} \cong \Delta \mathrm{to}, \mathrm{I} \cong \mathrm{lo}$

where      

mo, Δto and lo are the rest mass, time interval and length respectively. So, for all speeds, the relativistic equations are appropriate. But

γ = v22c2 + 1 +…   (expanding binomially) v22c2+…=k<<1  

if k>0 and v<<c

Henceforward, the equations that are non-relativistic in which γ factor is exactly 1 never stretch precise outcomes.