A nucleus of 84 Po 210 originally at rest emits an α -particle with speed v. What will be recoil speed of the daughter nucleus?

Question

A nucleus of 84 Po 210 originally at rest emits an α -particle with speed v. What will be recoil speed of the daughter nucleus? (A) 4 v / 206 (B) 4 v / 214 (C) v / 206 (D) v / 214

Tardigrade Admin · Accepted Answer

Applying principle of conservation of linear momentum, mα vα+mN vN=0 4 v+(210-4) vN=0 or vN=(-4 v/206) Negative sign for recoil speed.

Q. A nucleus of $_{84} P o^{210}$ originally at rest emits an $α$ -particle with speed $v$ . What will be recoil speed of the daughter nucleus?

$4 v /206$

$4 v /214$

$v /206$

$v /214$

Applying principle of conservation of linear momentum,
$m_{α} v_{α} + m_{N} v_{N} = 0$
$4 v + (210 - 4) v_{N} = 0$ or $v_{N} = \frac{- 4 v}{206}$
Negative sign for recoil speed.

Q. A nucleus of 84​Po210 originally at rest emits an α -particle with speed v. What will be recoil speed of the daughter nucleus?

4v/206

4v/214

v/206

v/214