1
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
Change Language
The initial velocity vi required to project a body vertically upward from the surface of the earth to reach a height of 10R, where R is the radius of the earth, may be described in terms of escape velocity ve such that $${v_i} = \sqrt {{x \over y}} \times {v_e}$$. The value of x will be ____________.
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2
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
Change Language
The peak electric field produced by the radiation coming from the 8W bulb at a distance of 10 m is $${x \over {10}}\sqrt {{{{\mu _0}c} \over \pi }} {V \over m}$$. The efficiency of the bulb is 10% and it is a point source. The value of x is ___________.
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3
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
Change Language
Two identical conducting spheres with negligible volume have 2.1 nC and $$-$$0.1 nC charges, respectively. They are brought into contact and then separated by a distance of 0.5 m. The electrostatic force acting between the spheres is __________ $$\times$$ 10$$-$$9 N.

[Given : $$4\pi {\varepsilon _0} = {1 \over {9 \times {{10}^9}}}$$ SI unit]
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4
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
Change Language
The wavelength of an X-ray beam is 10$$\mathop A\limits^o $$. The mass of a fictitious particle having the same energy as that of the X-ray photons is $${x \over 3}h$$ kg. The value of x is __________. (h = Planck's constant)
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