A charged particle of mass m -1 kg and charge q -2 - C is thrown from a horizontal ground at an angle -45- with speed 20 m s -1- In space a horizontal electric field E-2 - 107- V m -1 exists- The range on the horizontal ground of the projectile thrown is A- 200 mB- 160 mC- 40 mD- 400 m

The correct option is A 200 mHere, u=20ms^ 1,θ=45^∘,q=2μ C, E⃗=2× 10^7 îVm^ 1,m=1kg a_x=qE/m=40ms^ 1 and a_y=g= 10ms^ 1 T=2usin θ/g=2√(2)s ∴ R=ucosθ T+1/2a_x ...

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Byju's Answer

Standard XII

Physics

Inertial vs Non Inertial Frames

A charged par...

Question

A charged particle of mass m = 1 kg and charge q = 2 $μ$ C is thrown from a horizontal ground at an angle $θ = 45^{\circ}$ with speed 20 m $s^{- 1}$ . In space a horizontal electric field $\to E = 2 \times 10^{7}^i V m^{- 1}$ exists. The range on the horizontal ground of the projectile thrown is

200 m

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160 m

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40 m

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400 m

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Solution

The correct option is A 200 m
$H e r e, u = 20 m s^{- 1}, θ = 45^{\circ}, q = 2 μ C, \to E = 2 \times 10^{7}^i V m^{- 1}, m = 1 k g a_{x} = \frac{q E}{m} = 40 m s^{- 1} a n d a_{y} = g = - 10 m s^{- 1} T = \frac{2 u s i n θ}{g} = 2 \sqrt{2} s ∴ R = u c o s θ T + \frac{1}{2} a_{x} T^{2} = 40 + 160 = 200 m$

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A charged particle of mass m = 1 kg and charge q = 2 μC is thrown from a horizontal ground at an angle θ=45∘ with speed 20 m s−1. In space a horizontal electric field →E=2×107^iVm−1 exists. The range on the horizontal ground of the projectile thrown is

The correct option is A 200 mHere,u=20ms−1,θ=45∘,q=2μC,→E=2×107^iVm−1,m=1kgax=qEm=40ms−1 and ay=g=−10ms−1T=2usinθg=2√2s∴R=ucosθT+12axT2=40+160=200m

A charged particle of mass m = 1 kg and charge q = 2 $μ$ C is thrown from a horizontal ground at an angle $θ = 45^{\circ}$ with speed 20 m $s^{- 1}$ . In space a horizontal electric field $\to E = 2 \times 10^{7}^i V m^{- 1}$ exists. The range on the horizontal ground of the projectile thrown is