A proton of velocity (3 hati+2 hatj) ms-1 a field of magnetic induction (2 hatj+3 hatk) tesla. The acceleration produced in the proton in ms-2 is (Specific charge of proton = 0.96 × 108 C kg-1)

Question

A proton of velocity (3 hati+2 hatj) ms-1 a field of magnetic induction (2 hatj+3 hatk) tesla. The acceleration produced in the proton in ms-2 is (Specific charge of proton = 0.96 × 108 C kg-1) (A) 2.8 × 108 (2 hati - 3 hatj)  (B) 2.88 × 108 (2 hati - 3 hatj + 2 hatk )  (C) 2.8 × 108 (2 hati + 3 hatk)  (D) 2.88 × 108 ( hati -3 hatj+2 hatk)

Tardigrade Admin · Accepted Answer

Correct answer is (b) 2.88 × 108 (2 hati - 3 hatj + 2 hatk )

Q. A proton of velocity $(3 \hat{i} + 2 \hat{j})$ $m s^{- 1}$ a field of magnetic induction $(2 \hat{j} + 3 \hat{k})$ tesla. The acceleration produced in the proton in $m s^{- 2}$ is (Specific charge of proton = $0.96 \times 1 0^{8} C k g^{- 1}$ )

$2.8 \times 1 0^{8} (2 \hat{i} - 3 \hat{j})$

$2.88 \times 1 0^{8} (2 \hat{i} - 3 \hat{j} + 2 \hat{k})$

$2.8 \times 1 0^{8} (2 \hat{i} + 3 \hat{k})$

$2.88 \times 1 0^{8} (\hat{i} - 3 \hat{j} + 2 \hat{k})$

Correct answer is (b) $2.88 \times 1 0^{8} (2 \hat{i} - 3 \hat{j} + 2 \hat{k})$

Q. A proton of velocity (3i^+2j^​) ms−1 a field of magnetic induction (2j^​+3k^) tesla. The acceleration produced in the proton in ms−2 is (Specific charge of proton = 0.96×108Ckg−1)

2.8×108(2i^−3j^​)

2.88×108(2i^−3j^​+2k^)

2.8×108(2i^+3k^)

2.88×108(i^−3j^​+2k^)