A beam of α particles having specific charge 2.5×107 C kg-1 moves with a speed of 2×105 ms-1 in a magnetic field of 0.05 T. The radius of the circular path described by the α-particle is

Question

A beam of α particles having specific charge 2.5×107 C kg-1 moves with a speed of 2×105 ms-1 in a magnetic field of 0.05 T. The radius of the circular path described by the α-particle is (A) 4 cm (B) 8 cm (C) 16 cm (D) 32 c

Tardigrade Admin · Accepted Answer

R = (M v/Bq0) = (v/B) ( (q0/M)) = 2 × 105 / 0.05 × 2.5 × 107 = 0.16 m = 16 cm.

Q. A beam of $α$ particles having specific charge $2.5 \times 1 0^{7} C k g^{- 1}$ moves with a speed of $2 \times 1 0^{5} m s^{- 1}$ in a magnetic field of $0.05 T$ . The radius of the circular path described by the $α$ -particle is

4 cm

8 cm

16 cm

32 c

R = $\frac{M v}{B _{q 0}} = \frac{v}{B} (\frac{q _{0}}{M})$
$= 2 \times 1 0^{5} /0.05 \times 2.5 \times 1 0^{7}$ = 0.16 m = 16 cm.

Q. A beam of α particles having specific charge 2.5×107Ckg−1 moves with a speed of 2×105ms−1 in a magnetic field of 0.05T. The radius of the circular path described by the α-particle is