1
JEE Main 2022 (Online) 29th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Two vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ have equal magnitudes. If magnitude of $$\overrightarrow A $$ + $$\overrightarrow B $$ is equal to two times the magnitude of $$\overrightarrow A $$ $$-$$ $$\overrightarrow B $$, then the angle between $$\overrightarrow A $$ and $$\overrightarrow B $$ will be :

A
$${\sin ^{ - 1}}\left( {{3 \over 5}} \right)$$
B
$${\sin ^{ - 1}}\left( {{1 \over 3}} \right)$$
C
$${\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$
D
$${\cos ^{ - 1}}\left( {{1 \over 3}} \right)$$
2
JEE Main 2022 (Online) 29th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The escape velocity of a body on a planet 'A' is 12 kms$$-$$1. The escape velocity of the body on another planet 'B', whose density is four times and radius is half of the planet 'A', is :

A
12 kms$$-$$1
B
24 kms$$-$$1
C
36 kms$$-$$1
D
6 kms$$-$$1
3
JEE Main 2022 (Online) 29th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A longitudinal wave is represented by $$x = 10\sin 2\pi \left( {nt - {x \over \lambda }} \right)$$ cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to :

A
2$$\pi$$
B
5$$\pi$$
C
$$\pi$$
D
$${{5\pi } \over 2}$$
4
JEE Main 2022 (Online) 29th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant 15. Then the energy of capacitor will :

A
increase by 50%
B
decrease by 15%
C
increase by 25%
D
increase by 33%
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