1
JEE Main 2021 (Online) 26th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A scooter accelerates from rest for time t1 at constant rate a1 and then retards at constant rate a2 for time t2 and comes to rest. The correct value of $${{{t_1}} \over {{t_2}}}$$ wil be :
A
$${{{a_1} + {a_2}} \over {{a_2}}}$$
B
$${{{a_1} + {a_2}} \over {{a_1}}}$$
C
$${{{a_2}} \over {{a_1}}}$$
D
$${{{a_1}} \over {{a_2}}}$$
2
JEE Main 2021 (Online) 26th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
A radioactive sample is undergoing $$\alpha$$ decay. At any time t1, its activity is A and another time t2, the activity is $${A \over 5}$$. What is the average life time for the sample?
A
$${{\ln 5} \over {{t_2} - {t_1}}}$$
B
$${{\ln ({t_2} + {t_1})} \over 2}$$
C
$${{{t_1} - {t_2}} \over {\ln 5}}$$
D
$${{{t_2} - {t_1}} \over {\ln 5}}$$
3
JEE Main 2021 (Online) 26th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Given below are two statements:

Statement I : An electric dipole is placed at the center of a hollow sphere. The flux of the electric field through the sphere is zero but the electric field is not zero anywhere in the sphere.

Statement II : If R is the radius of a solid metallic sphere and Q be the total charge on it. The electric field at any point on the spherical surface of radius r (< R) is zero but the electric flux passing through this closed spherical surface of radius r is not zero..

In the light of the above statements, choose the correct answer from the options given below :
A
Both Statement I and Statement II are true
B
Statement I is false but Statement II is true
C
Statement I is true but Statement II is false
D
Both Statement I and Statement II are false
4
JEE Main 2021 (Online) 26th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
If 'C' and 'V' represent capacity and voltage respectively then what are the dimensions of $$\lambda$$ where C/V = $$\lambda$$ ?
A
$$[{M^{ - 3}}{L^{ - 4}}{I^3}{T^7}]$$
B
$$[{M^{ - 2}}{L^{ - 3}}{I^2}{T^6}]$$
C
$$[{M^{ - 2}}{L^{ - 4}}{I^3}{T^7}]$$
D
$$[{M^{ - 1}}{L^{ - 3}}{I^{ - 2}}{T^{ - 7}}]$$
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