Four molecules have speeds 2 km/sec, 3 km/sec, 4 km/sec and 5 km/sec. The root mean square speed of these molecules (km/sec) is

Question

Four molecules have speeds 2 km/sec, 3 km/sec, 4 km/sec and 5 km/sec. The root mean square speed of these molecules (km/sec) is (A) √54/4 (B) √54/2 (C) 3.5 (D) 3 √3 m/s

Tardigrade Admin · Accepted Answer

νrms = [((2)2 + (3)2 + (4)2 + (5)2/4)]1/2 = √[(54/4)]

Q. Four molecules have speeds 2 km/sec, 3 km/sec, 4 km/sec and 5 km/sec. The root mean square speed of these molecules (km/sec) is

$54/4$

$54/2$

$3.5$

$33$ m/s

$ν_{r m s} = [\frac{( 2 ) ^{2} + ( 3 ) ^{2} + ( 4 ) ^{2} + ( 5 ) ^{2}}{4}]^{1/2}$
$= [\frac{54}{4}]$

Q. Four molecules have speeds 2 km/sec, 3 km/sec, 4 km/sec and 5 km/sec. The root mean square speed of these molecules (km/sec) is

54/4​

54/2​

3.5

33​ m/s

νrms​=[4(2)2+(3)2+(4)2+(5)2​]1/2 =[454​]​

$54/4$

$54/2$

$3.5$

$33$ m/s

$ν_{r m s} = [\frac{( 2 ) ^{2} + ( 3 ) ^{2} + ( 4 ) ^{2} + ( 5 ) ^{2}}{4}]^{1/2}$
$= [\frac{54}{4}]$