A charged cork ball of mass 1 g is suspended on a light string in the presence of a uniform electric field as shown- When E-3 - - 5 - - 10-5-NC-1- the ball is in equilibrium at - - 37- T is the tension in the string and q is the charge on the ball -Take sin 37 - 0-60 and g-10-ms-2- Q - 21 nCq - 12 nCT-5-55 - 10-3NT-4-55 - 10-3N

The correct option is C T=5.55 × 10^ 3NT=cos θ + q E_y=mg ...........(1) T=sin θ = q E_x ⇒ T(0.6)=3 × 10^5 q ⇒ q=60/3× 10^ 5T ⇒ q=2 × 10^ 6T ⇒ T(0.8) + T = 10 ...

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Byju's Answer

Standard XII

Physics

Summary for Time, Height and Range

A charged cor...

Question

A charged cork ball of mass 1 g is suspended on a light string in the presence of a uniform electric field as shown. When $\to E = (3^i + 5^j) \times 10^{5} N C^{- 1}$ , the ball is in equilibrium at $θ = 37$ . T is the tension in the string and q is the charge on the ball (Take sin 37 = 0.60 and $g = 10 m s^{- 2}$ )

Q = 21 nC

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q = 12 nC

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T = 5.55 \times 10^{- 3} N

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T = 4.55 \times 10^{- 3} N

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Solution

The correct option is C $T = 5.55 \times 10^{- 3} N$
$T = c o s θ + q E_{y} = m g$ ...........(1)
$T = s i n θ = q E_{x}$
$\Rightarrow T (0.6) = 3 \times 10^{5} q$
$\Rightarrow q = \frac{60}{3} \times 10^{- 5} T$
$\Rightarrow q = 2 \times 10^{- 6} T$
$\Rightarrow T (0.8) + T = \frac{10}{100}$
$\Rightarrow T = 5.55 \times 10^{- 3} N$
$\Rightarrow q = 11.1 \times 10^{- 9} C$
$\Rightarrow q = 11 n C$

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A charged cork ball of mass 1 g is suspended on a light string in the presence of a uniform electric field as shown. When →E=(3^i+5^j)×105 NC−1, the ball is in equilibrium at θ=37. T is the tension in the string and q is the charge on the ball (Take sin 37 = 0.60 and g=10 ms−2)

The correct option is C T=5.55×10−3NT=cos θ+qEy=mg ...........(1) T=sin θ=qEx ⇒T(0.6)=3×105 q ⇒q=603×10−5T ⇒q=2×10−6T ⇒T(0.8)+T=10100 ⇒T=5.55×10−3 N ⇒q=11.1×10−9C ⇒q=11 nC