Stopping potential depends on planks constant (h), current (I), univer

1.	Stopping potential depends on planks constant (h), current (I), universal gravitational constant (G) and speed of light (C) choose the correct option for the dimension of stopping potential (V)(1) hI–1G1C5 (2) h–1I1G–1C6 (3) h0I1G1C6 (4) h0I-1G–1C5
Answer» Answer is (4) V = K (h)^a (I)^b (G)^c (C)^d (V is voltage) we know [h] = ML²T^–1 [I] = A [G] = M^–1 L³ T^–2 [C] = L T^–1 [V] = M L² T^–3 A^–1 M L² T^–3 A^–1 = (M L² T^–1)^a (A)^b (M^–1L³T^-2)^c (LT^–1)^d ML²T^–3A^–1 = M^a–c L^2a+3c+d T^{–a–2c–d} A^b a – c = 1………………(1) 2a + 3c + d = 2………………(2) –a –2c –d = –3 ………………(3) b = –1………………(4) on solving c = –1 a = 0 d = 5, b = –1 V = K (h)° (I)^–1 (G)^–1 (C) 5

Stopping potential depends on planks constant (h), current (I), universal gravitational constant (G) and speed of light (C) choose the correct option for the dimension of stopping potential (V)(1) hI–1G1C5 (2) h–1I1G–1C6 (3) h0I1G1C6 (4) h0I-1G–1C5

Answer»

Answer is (4)

V = K (h)^a (I)^b (G)^c (C)^d (V is voltage)

we know [h] = ML²T^–1

[I] = A

[G] = M^–1 L³ T^–2

[C] = L T^–1

[V] = M L² T^–3 A^–1

M L² T^–3 A^–1 = (M L² T^–1)^a (A)^b (M^–1L³T^-2)^c (LT^–1)^d

ML²T^–3A^–1 = M^a–c L^2a+3c+d T^{–a–2c–d} A^b

a – c = 1………………(1)

2a + 3c + d = 2………………(2)

–a –2c –d = –3 ………………(3)

b = –1………………(4)

on solving

c = –1

a = 0

d = 5,

b = –1

V = K (h)° (I)^–1 (G)^–1 (C) 5

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Stopping potential depends on planks constant (h), current (I), universal gravitational constant (G) and speed of light (C) choose the correct option for the dimension of stopping potential (V)(1) hI–1G1C5 (2) h–1I1G–1C6 (3) h0I1G1C6 (4) h0I-1G–1C5

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