NUMS ENTRY TEST PAST PAPERS AND SYLLABUS
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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
کس جوڑی میں اسکیلر مقدار اور ویکٹر کی مقدار شامل ہے؟
Velocity and acceleration
Kinetic energy and momentum
Potential energy and work
None of these
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Explanation
Kinetic energy is a scalar (depends only on magnitude, no direction).
Momentum is a vector (has both magnitude and direction).
1
2
3
None of these
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Explanation
The problem says:
Body starts from rest (u = 0 u = 0 )
Moves with an acceleration a a (value not given)
After t = 3 t = 3 sec, momentum p = m v p = m v
Velocity after 3 sec: v = u + a t = 0 + a × 3 = 3 a v = u + a t = 0 + a × 3 = 3 a
Momentum p = m × 3 a = 3 m a p = m × 3 a = 3 ma
%
2c
4c
None of these
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Explanation
When a metal sheet is inserted between the plates of a parallel plate capacitor, it effectively splits the capacitor into two capacitors in series.
Given:
Distance between plates = d d
Metal sheet thickness = d 2 2 d
Air gaps on each side of the sheet = d 4 4 d each (since metal is conductor, field exists only in the gaps).
Original capacitance:
C = ε 0 A d C = d ε 0 A
After insertion: Each air gap capacitance:
C 1 = C 2 = ε 0 A d / 4 = 4 ε 0 A d = 4 C C 1 = C 2 = d /4 ε 0 A = d 4 ε 0 A = 4 C
These two are in series:
1 C t o t a l = 1 4 C + 1 4 C = 2 4 C = 1 2 C C t o t a l 1 = 4 C 1 + 4 C 1 = 4 C 2 = 2 C 1 C t o t a l = 2 C C t o t a l = 2 C
صرف دو اڈوں کی مقدار کے لحاظ سے کس مقدار کو بیان کیا جاسکتا ہے؟
Force
Current
Charge
None of these
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Explanation
Charge Q = I × t depends only on Current (A) and Time (s).
Hence, it is described in terms of two base quantities only.
490m
510m
380m
None of these
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Explanation
We can solve this using the kinematic equation for vertical motion under gravity:
Formula:
v 2 = u 2 − 2 g h v 2 = u 2 − 2 g h At the highest point, final velocity v = 0 v = 0 , initial velocity u = 98 m/s u = 98 m/s , g = 9.8 m/s 2 g = 9.8 m/s 2 .
0 = ( 98 ) 2 − 2 × 9.8 × h 0 = ( 98 ) 2 − 2 × 9.8 × h 2 × 9.8 × h = 98 2 2 × 9.8 × h = 9 8 2 19.6 h = 9604 19.6 h = 9604 h = 9604 19.6 = 490 m h = 19.6 9604 = 490 m
16 km
12.7 km
13.7 km
None of these
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Explanation
We’re given:
Initial velocity upward u = 500 m/s
Final velocity at top v = 0
Acceleration due to gravity g = 9.8 m/s² (downward)
Formula:
v 2 = u 2 − 2 g h 0 = ( 500 ) 2 − 2 ( 9.8 ) h 2 ( 9.8 ) h = 250000 h = 250000/ 19.6 h = 12755.1 m ≈ 12.7 km
5ms-²
4ms-²
2ms-²
None of these
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Explanation
We can solve this using the standard Atwood machine formula.
Given:m 1 = 7 kg m 1 = 7 kg (heavier mass)m 2 = 3 kg m 2 = 3 kg g = 9.8 m/s 2 g = 9.8 m/s 2 Frictionless pulley → acceleration:
a = m 1 − m 2 m 1 + m 2 ⋅ g a = m 1 + m 2 m 1 − m 2 ⋅ g a = 7 − 3 7 + 3 ⋅ 9.8 a = 7 + 3 7 − 3 ⋅ 9.8 a = 4 10 ⋅ 9.8 a = 10 4 ⋅ 9.8 a = 0.4 × 9.8 = 3.92 m/s 2 a = 0.4 × 9.8 = 3.92 m/s 2
Answer see in detail...
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Explanation
Passage : Doctors are people who examine other people in their clinics. When patients visit them, the doctors follow a certain procedure. They take the pulse, thumb the chest and listen to the heart beats through stethoscope and perhaps miniature rubber tyre is put around the patient's arm is blow down up to check what is called blood pressure.
Who are other people whom doctors examine? Patients
Patients visit doctors means? They visit their homes
On
To
With
None of these
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Explanation
The correct preposition is polite to someone.
Example : He was very polite to me ( shows respectful behavior ).
Feel
Saying
Analyze
None of these
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Explanation
Quote means اقتباس
Analyze means تجزیہ کریں