1
JEE Main 2021 (Online) 27th August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density :
A
[FL$$-$$4T2]
B
[FL$$-$$3T2]
C
[FL$$-$$5T2]
D
[FL$$-$$3T3]
2
JEE Main 2021 (Online) 27th August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A coaxial cable consists of an inner wire of radius 'a' surrounded by an outer shell of inner and outer radii 'b' and 'c' respectively. The inner wire carries an electric current i0, which is distributed uniformly across cross-sectional area. The outer shell carries an equal current in opposite direction and distributed uniformly. What will be the ratio of the magnetic field at a distance x from the axis when (i) x < a and (ii) a < x < b ?
A
$${{{x^2}} \over {{a^2}}}$$
B
$${{{a^2}} \over {{x^2}}}$$
C
$${{{x^2}} \over {{b^2} - {a^2}}}$$
D
$${{{b^2} - {a^2}} \over {{x^2}}}$$
3
JEE Main 2021 (Online) 27th August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The height of victoria falls is 63 m. What is the difference in temperature of water at the top and at the bottom of fall?

[Given 1 cal = 4.2 J and specific heat of water = 1 cal g$$-$$1 $$^\circ$$0C$$-$$1]
A
0.147$$^\circ$$ C
B
14.76$$^\circ$$ C
C
1.476$$^\circ$$ C
D
0.014$$^\circ$$ C
4
JEE Main 2021 (Online) 27th August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A player kicks a football with an initial speed of 25 ms$$-$$1 at an angle of 45$$^\circ$$ from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion ? (Take g = 10 ms$$-$$2)
A
hmax = 10 m

T = 2.5 s
B
hmax = 15.625 m

T = 3.54 s
C
hmax = 15.625 m

T = 1.77 s
D
hmax = 3.54 m

T = 0.125 s
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