1
NEET 2021
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
A radioactive nucleus
$$_Z^AX$$ $$\to$$ $${}_{Z - 1}B$$ $$\to$$ $${}_{Z - 3}C$$ $$\to$$ $${}_{Z - 2}D$$,
where Z is the atomic number of element X. The possible decay particles in the sequence are :
A
$$\beta$$$$-$$, $$\alpha$$, $$\beta$$+
B
$$\alpha$$, $$\beta$$$$-$$, $$\beta$$+
C
$$\alpha$$, $$\beta$$+, $$\beta$$$$-$$
D
$$\beta$$+, $$\alpha$$, $$\beta$$$$-$$
2
NEET 2021
MCQ (Single Correct Answer)
+4
-1
Match Column - I and Column - II and choose the correct match from the given choices.

Column - I Column - II
(A) Root mean square speed of gas molecules (P) $${1 \over 3}nm{\overline v ^2}$$
(B) Pressure exerted by ideal gas (Q) $$\sqrt {{{3RT} \over M}} $$
(C) Average kinetic energy of a molecule (R) $${5 \over 2}RT$$
(D) Total internal energy of 1 mole of a diatomic gas (S) $${3 \over 2}{k_B}T$$
A
(A) - (R), (B) - (Q), (C) - (P), (D) - (S)
B
(A) - (R), (B) - (P), (C) - (S), (D) - (Q)
C
(A) - (Q), (B) - (R), (C) - (S), (D) - (P)
D
(A) - (Q), (B) - (P), (C) - (S), (D) - (R)
3
NEET 2021
MCQ (Single Correct Answer)
+4
-1
In the product

$$\overrightarrow F = q\left( {\overrightarrow v \times \overrightarrow B } \right)$$

$$ = q\overrightarrow v \times \left( {B\widehat i + B\widehat j + {B_0}\widehat k} \right)$$

For q = 1 and $$\overrightarrow v = 2\widehat i + 4\widehat j + 6\widehat k$$ and $$\overrightarrow F = 4\widehat i - 20\widehat j + 12\widehat k$$

What will be the complete expression for $$\overrightarrow B $$ ?
A
$$6\widehat i + 6\widehat j - 8\widehat k$$
B
$$ - 8\widehat i - 8\widehat j - 6\widehat k$$
C
$$ - 6\widehat i - 6\widehat j - 8\widehat k$$
D
$$8\widehat i + 8\widehat j - 6\widehat k$$
4
NEET 2021
MCQ (Single Correct Answer)
+4
-1
From a circular ring of mass 'M' and radius 'R' an arc corresponding to a 90$$^\circ$$ sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the center of the ring and perpendicular to the plane of the ring is 'K' times 'MR2'. Then the value of 'K' is :
A
$${1 \over 8}$$
B
$${3 \over 4}$$
C
$${7 \over 8}$$
D
$${1 \over 4}$$
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