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Exam (elaborations) JEE

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A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1 and e2 respectively, the percentage error in the estimation of g is

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DATE: 05TH July, 2025
11TH MAINS
297
TEST BOOKLET CODE

TIME: 1 Hour MAX. MARKS: 120




IIT - JEE MAINS
WEEKLY TEST-2
JULY 2025

STUDENT NAME :

Important Instructions:
1. The test is of 1 hour duration and Test Booklet contains 30 questions. The maximum marks are 120.
2. Use Blue / Black Ball point Pen only for writing particulars on this page/marking responses.

3. Rough work is to be done on the space provided for this purpose in the Test Booklet only.

4. On completion of the test, the candidate must handover the Answer Sheet to the Invigilator before leaving the
Room / Hall. The candidates are allowed to take away this Test Booklet with them.

5. The candidates should ensure that the Answer Sheet is not folded. Do not make any stray marks on the
Answer Sheet. Do not write your Name anywhere else except in the specified space in the Test
Booklet/Answer Sheet.

6. No candidate, without special permission of the Superintendent or Invigilator, would leave his/her seat.

7. Use of Electronic/Manual Calculator is prohibited.

8. No part of the Test Booklet and Answer Sheet shall be detached under any circumstances.

9. The candidates will write the Correct Test Booklet Code as given in the Test Booklet / Answer Sheet in theAttendance
Sheet.




-------------------------------------------------------------------------------------------------------------------------------------------------
SCHOOL TOPPERS
| MANPADA | LOKPURAM | WAGHBIL | KOPARKHAIRNE |THANE STATION | AIROLI | KASARVADAVALI |
Ph.: 9769476308.

, PHYSICS
Q.01. The percentage errors in measurements of mass and speed of a body are 2% and 3% respectively. What is the
percentage error in kinetic energy of the body?
(a) 9% (b) 5% (c) 8% (d) 0%
Sol.

Q.02. The maximum error in the measurement of mass and length is 4% and 3% respectively. The error in the
measurement of density of a cube will be
(a) 9% (b) 15% (c) 13% (d) 6%
Sol.

𝑎 2 𝑏2
Q.03. Let 𝑥 = [ 𝑐 ] be the physical quantity. If the percentage error in the measurement of physical quantities a, b and
c is 2, 3 and 4 percent respectively then percentage error in the measurement of x is
(a) 7% (b) 14% (c) 21% (d) 28%
Sol.

4𝜋2 𝐿
Q.04. The percentage error in the measurement of 𝑔 𝑖𝑠 (𝐺𝑖𝑣𝑒𝑛 𝑡ℎ𝑎𝑡 𝑔 = 𝑇2
, L= (10±0.1) cm, T=(100±1)s):
(a) 2% (b) 5% (c) 3% (d) 7%
Sol.

Q.05. A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to
estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and
the time are e1 and e2 respectively, the percentage error in the estimation of g is
(a) e2 - e1 (b) 𝑒1 + 2𝑒2 (c) 𝑒1 + 𝑒2 (d) 𝑒1 − 2𝑒2
Sol.

Q.06. The mass of a box measured by a grocer's balance is 2.3 kg. Two gold pieces of masses 20.15 g and 20.17 g are
added to the box. What is the total mass of the box and the difference in the masses of the pieces to correct
significant figures?
(a) 2.34 kg, 0 g (b) 2.3 kg, 0.02 g (c) 2.34 kg, 0.02 g (d) 2.3 kg, 0 g
Sol.
𝑉
Q.07. The resistance 𝑅 = 𝐼
where V = (25±0.4) Volt and I (2003) Ampere. The percentage error in 'R' is
(a) 1.5% (b) 1.6% (c) 3.1% (d) 0.1%
Sol.

Q.08. If the percentage errors in measuring the length and the diameter of a wire are 0.1% each. The percentage error in
measuring its resistance will be:
(a) 0.2% (b) 0.3% (c) 0.1% (d) 0.144%
Sol.

Q.09. If the length of the pendulum in pendulum clock increases by 0. 1%, then the error in time per day is:
(a) 43.2 s (b) 8.64 s (c) 86.4 s (d) 4.32 s
Sol.

Q.10. A wire of 1 Ω has a length of 1 m. It is stretched till its length increases by 25%. The percentage change in resistance
to the nearest integer is:
(a) 12.5% (b) 76% (c) 25% (d) 56%
Sol.

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