The acceleration of an electron at a certain moment in a magnetic field overset arrow B=(2 hati + 3 hatj + 4 hatk)T is overset arrow a=(x hati + hatj - hatk)ms- 2 . The value of x is :

Question

The acceleration of an electron at a certain moment in a magnetic field overset arrow B=(2 hati + 3 hatj + 4 hatk)T is overset arrow a=(x hati + hatj - hatk)ms- 2 . The value of x is : (A) 0.5 (B) 1 (C) 2.5 (D) 1.5

Tardigrade Admin · Accepted Answer

overset arrow B⋅ overset arrow F=0 As overset arrow B⊥ overset arrow F ∴ overset arrow B⋅ overset arrow a=0 or 2x+3-4=0 ∴ x=0.5

Q. The acceleration of an electron at a certain moment in a magnetic field $B \to = (2 \hat{i} + 3 \hat{j} + 4 \hat{k}) T$ is $a \to = (x \hat{i} + \hat{j} - \hat{k}) m s^{- 2}$ . The value of $x$ is :

$0.5$

$1$

$2.5$

$1.5$

$B \to \cdot F \to = 0$
As $B \to ⊥ F \to$
$∴ B \to \cdot a \to = 0$
or $2 x + 3 - 4 = 0$
$∴ x = 0.5$

Q. The acceleration of an electron at a certain moment in a magnetic field B→=(2i^+3j^​+4k^)T is a→=(xi^+j^​−k^)ms−2 . The value of x is :

0.5

1

2.5

1.5

B→⋅F→=0 As B→⊥F→ ∴B→⋅a→=0 or 2x+3−4=0 ∴x=0.5

Q. The acceleration of an electron at a certain moment in a magnetic field $B \to = (2 \hat{i} + 3 \hat{j} + 4 \hat{k}) T$ is $a \to = (x \hat{i} + \hat{j} - \hat{k}) m s^{- 2}$ . The value of $x$ is :

$0.5$

$1$

$2.5$

$1.5$

$B \to \cdot F \to = 0$
As $B \to ⊥ F \to$
$∴ B \to \cdot a \to = 0$
or $2 x + 3 - 4 = 0$
$∴ x = 0.5$