1
IIT-JEE 2005 Mains
MCQ (Single Correct Answer)
+3
-1

The side of a cube is measured by vernier callipers (10 divisions of a vernier scale coincide with 9 divisions of main scale, where 1 division of main scale is 1 mm). The main scale reads 10 mm and first division of vernier scale coincides with the main scale; Mass of the cube is 2.736 g. Find the density of the cube in appropriate significant figures.

A
$$5\times10^3$$
B
$$7\times10^4$$
C
$$2.66\times10^3$$
D
$$3.45\times10^3$$
2
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
+2
-0.5
A wire of length $$l = 6 \pm 0.06$$ cm and $$r = 0.5 \pm 0.005$$ cm and mass $$m = 0.3 \pm 0.003$$ gm. Maximum percentage error in density is
A
4
B
2
C
1
D
6.8
3
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
+2
-0.5
Pressure depends on distance as, $$P = {\alpha \over \beta }\exp \left( { - {{\alpha z} \over {k\theta }}} \right)$$, where $$\alpha $$, $$\beta $$ are constants, z in distance, k is Boltzman's constant and $$\theta $$ is temperature. The dimention of $$\beta $$ are
A
[M0L0T0]
B
[M-1L-1T-1]
C
[M0L2T0]
D
[M-1L1T2]
4
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+2
-0.5

A cube has a side of length 1.2 ✕ 10-2 m. Calculate its volume.

A
1.7 ✕ 10-6 m3
B
1.73 ✕ 10-6 m3
C
1.70 ✕ 10-6 m3
D
1.732 ✕ 10-6 m3

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